diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0009/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0009/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..c169ec0fcfaf79349ceac5a004c031e3e84ea734 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0009/prompt.txt @@ -0,0 +1,8 @@ +A triangular glass prism with apex angle \( \Phi = 60.0^\circ \) has an index of refraction \( n = 1.50 \) as shown in figure. What is the smallest angle of incidence \( \theta_1 \) for which a light ray can emerge from the other side? + +A: \( 24.6^\circ \) +B: \( 29.1^\circ \) +C: \( 27.9^\circ \) +D: \( 21.5^\circ \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0012/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0012/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..506482e04ce9c8b22d5d97192dfb72bf6d81bad1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0012/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "12", + "question": "An optical fiber has an index of refraction \\( n \\) and diameter \\( d \\). It is surrounded by vacuum. Light is sent into the fiber along its axis as shown in figure. Find the smallest outside radius \\( R_{\\text{min}} \\) permitted for a bend in the fiber if no light is to escape.", + "choices": { + "A": "\\( \\frac{nd}{2n+1} \\)", + "B": "\\( \\frac{nd}{2n-1} \\)", + "C": "\\( \\frac{nd}{n-1} \\)", + "D": "\\( \\frac{nd}{n+1} \\)" + }, + "answer": "C", + "original_image_filename": "phyx_12.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0013/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0013/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0b81725f0ceaf7cc9041c7ede28fbd3b9987a9fa --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0013/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "13", + "question": "A digital video disc (DVD) records information in a spiral track approximately \\( 1\\ \\mu\\text{m} \\) wide. The track consists of a series of pits in the information layer that scatter light from a laser beam sharply focused on them. The laser shines in from below through transparent plastic of thickness \\( t = 1.20\\ \\text{mm} \\) as shown in figure. Assume the width of the laser beam at the information layer must be \\( a = 1.00\\ \\mu\\text{m} \\) to read from only one track and not from its neighbors. Assume the width of the beam as it enters the transparent plastic is \\( w = 0.700\\ \\text{mm} \\). A lens makes the beam converge into a cone with an apex angle \\( 2\\theta_1 \\) before it enters the DVD. Find the incidence angle \\( \\theta_1 \\) of the light at the edge of the conical beam. This design is relatively immune to small dust particles degrading the video quality.", + "choices": { + "A": "\\( 20.6^\\circ \\)", + "B": "\\( 18.3^\\circ \\)", + "C": "\\( 25.7^\\circ \\)", + "D": "\\( 21.3^\\circ \\)" + }, + "answer": "C", + "original_image_filename": "phyx_13.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0014/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0014/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..2da887cb13163b50b81eb9348cc34700fdfbd690 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0014/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "14", + "question": "As shown in figure How many times will the incident beam shown in Figure be reflected by the left of the parallel mirrors?", + "choices": { + "A": "7", + "B": "5", + "C": "6", + "D": "4" + }, + "answer": "C", + "original_image_filename": "phyx_14.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0021/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0021/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..328425ce6697041d03a6881173c1ef252032def0 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0021/prompt.txt @@ -0,0 +1,8 @@ +Figure shows the path of a light beam through several slabs with different indices of refraction. What the minimum incident angle \( \theta_1 \) be to have total internal reflection at the surface between the medium with \( n = 1.20 \) and the medium with \( n = 1.00 \)? + +A: \( 30.6^{\circ} \) +B: \( 26.2^{\circ} \) +C: \( 38.7^{\circ} \) +D: \( 36.1^{\circ} \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0022/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0022/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..a089f83db5b01db4108098a0ea519c8a9637dbf6 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0022/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "22", + "question": "A. H. Pfund's method for measuring the index of refraction of glass is illustrated in figure. One face of a slab of thickness \\( t \\) is painted white, and a small hole scraped clear at point \\( P \\) serves as a source of diverging rays when the slab is illuminated from below. Ray \\( PBB' \\) strikes the clear surface at the critical angle and is totally reflected, as are rays such as \\( PCC' \\). Rays such as \\( PAA' \\) emerge from the clear surface. On the painted surface, there appears a dark circle of diameter \\( d \\) surrounded by an illuminated region, or halo. What is the diameter of the dark circle if \\( n = 1.52 \\) for a slab \\( 0.600 \\) cm thick?", + "choices": { + "A": "\\( 1.99 \\text{ cm} \\)", + "B": "\\( 1.82 \\text{ cm} \\)", + "C": "\\( 2.10 \\text{ cm} \\)", + "D": "\\( 2.48 \\text{ cm} \\)" + }, + "answer": "C", + "original_image_filename": "phyx_22.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0025/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0025/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..53e5a74a2c46ec7174f175ebda33650d6e79c873 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0025/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "25", + "question": "Figure shows an overhead view of a room of square floor area. At the center of the room is a mirror set in a vertical plane and rotating on a vertical shaft about an axis coming out of the page. A bright red laser beam enters from the center point on one wall of the room and strikes the mirror. As the mirror rotates, the reflected laser beam creates a red spot sweeping across the walls of the room. In what time interval does the spot change from its minimum to its maximum speed?", + "choices": { + "A": "\\( \\frac{\\pi}{4\\omega} \\)", + "B": "\\( \\frac{\\pi}{12\\omega} \\)", + "C": "\\( \\frac{\\pi}{6\\omega} \\)", + "D": "\\( \\frac{\\pi}{8\\omega} \\)" + }, + "answer": "D", + "original_image_filename": "phyx_25.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0031/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0031/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..25768c60e8b1709683933ee579da0b315ea5dff7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0031/prompt.txt @@ -0,0 +1,8 @@ +Two converging lenses having focal lengths of \( f_1 = 10.0 \text{ cm} \) and \( f_2 = 20.0 \text{ cm} \) are placed a distance \( d = 50.0 \text{ cm} \) apart as shown in figure. The image due to light passing through both lenses is to be located between the lenses at the position \( x = 31.0 \text{ cm} \) indicated. At what value of \( p \) should the object be positioned to the left of the first lens? + +A: \( +10.6 \text{ cm} \) +B: \( +12.8 \text{ cm} \) +C: \( +11.5 \text{ cm} \) +D: \( +13.3 \text{ cm} \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0040/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0040/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..635e97da18cd51e54666937eca388ac0b6c0570f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0040/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "40", + "question": "A cylindrical glass rod (figure) has index of refraction 1.52. It is surrounded by air. One end is ground to a hemispherical surface. A small object is placed on the axis of the rod to the left of the vertex. Find the lateral magnification.", + "choices": { + "A": "-0.856", + "B": "-0.929", + "C": "+0.995", + "D": "-0.814" + }, + "answer": "B", + "original_image_filename": "phyx_40.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0041/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0041/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..75ac9ee531480761718967030aaaf65954673d5b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0041/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "41", + "question": "A cylindrical glass rod (figure) has index of refraction 1.52. It is surrounded by water that has index of refraction of 1.33. One end is ground to a hemispherical surface. A small object is placed on the axis of the rod to the left of the vertex. Find the lateral magnification.", + "choices": { + "A": "+0.856", + "B": "+2.33", + "C": "+0.995", + "D": "+1.814" + }, + "answer": "B", + "original_image_filename": "phyx_41.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0046/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0046/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..e318d07699f744f0e7850e32cf114d3e86912af2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0046/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "46", + "question": "Based on the figure Find the wavelength of the light.", + "choices": { + "A": "643nm", + "B": "633nm", + "C": "639nm", + "D": "533nm" + }, + "answer": "B", + "original_image_filename": "phyx_46.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0047/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0047/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..e734944ea816b3375ff3ec39de4fd3f4f018b1c9 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0047/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "47", + "question": "You pass 633\\ \\mathrm{nm} laser light through a narrow slit and observe the diffraction pattern on a screen. How wide is the slit?", + "choices": { + "A": "643nm", + "B": "633nm", + "C": "639nm", + "D": "533nm" + }, + "answer": "B", + "original_image_filename": "phyx_47.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0048/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0048/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..089891c2ba45143c91accd449d4acf7ac72644b0 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0048/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "48", + "question": "Based on the figure How long is the streak of reflected light across the floor?", + "choices": { + "A": "6.43m", + "B": "3.75m", + "C": "6.39m", + "D": "5.33m" + }, + "answer": "B", + "original_image_filename": "phyx_48.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0049/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0049/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..d843d07ddd0ebfa2db79504110e8e7d24c8fa0fd --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0049/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "49", + "question": "A laser beam is aimed at a 1.0\\text{-}\\mathrm{cm}\\text{-thick} sheet of glass at an angle above the glass. What is its direction in the air on the other side?", + "choices": { + "A": "64.0^\\circ", + "B": "60.0^\\circ", + "C": "50.0^\\circ", + "D": "56.0^\\circ" + }, + "answer": "B", + "original_image_filename": "phyx_49.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0052/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0052/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..96f77ccd547c58a778af6801ed26599dd8ba53f7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0052/prompt.txt @@ -0,0 +1,8 @@ +To see a flower better, a naturalist holds a magnifying glass 4.0 cm from the flower. What is the magnification? + +A: 6.4 +B: 3.0 +C: 8.9 +D: 1.24 + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0062/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0062/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..fd70602db23b817bb1e1878761c807d1c2248ad3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0062/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "62", + "question": "The laser beam in Figure is aimed at the center of a rotating hexagonal mirror. How long is the streak of laser light as the reflected laser beam sweeps across the wall behind the laser?", + "choices": { + "A": "1.4m", + "B": "5.6m", + "C": "6.1m", + "D": "2.4m" + }, + "answer": "C", + "original_image_filename": "phyx_62.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0065/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0065/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..79ed7a6e2b45107f0fe4f9f8fb218ebee97504ff --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0065/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "65", + "question": "Find the focal length of the planoconvex polystyrene plastic lens in Figure", + "choices": { + "A": "24cm", + "B": "56cm", + "C": "68cm", + "D": "80cm" + }, + "answer": "C", + "original_image_filename": "phyx_65.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0070/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0070/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..66139e2dce17cf6c51260ed84219bcd611e86908 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0070/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "70", + "question": "The meter stick in Figure lies on the bottom of a 100-cm-long tank with its zero mark against the left edge. You look into the tank at a angle. What mark do you see on the meter stick if the tank is empty?", + "choices": { + "A": "24cm", + "B": "56cm", + "C": "87cm", + "D": "99cm" + }, + "answer": "C", + "original_image_filename": "phyx_70.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0071/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0071/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..1bf782ae919f6cd72561457f821e90bcddf9f280 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0071/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "71", + "question": "The tank shown in Figure is completely filled with water. What mark do you see on the meter stick if the tank is empty?", + "choices": { + "A": "20cm", + "B": "50cm", + "C": "60cm", + "D": "80cm" + }, + "answer": "C", + "original_image_filename": "phyx_71.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0076/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0076/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..b9231aca16e4954f65051750997574faa906c42c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0076/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "76", + "question": "In the figure, at what distance are are parallel rays from the left focused to a point?", + "choices": { + "A": "14cm", + "B": "26cm", + "C": "15cm", + "D": "19.5cm" + }, + "answer": "C", + "original_image_filename": "phyx_76.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0077/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0077/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..792a44198b3e3fb2987e94dba4f7e74ddacad669 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0077/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "77", + "question": "What is the height of the final image?", + "choices": { + "A": "1.4cm", + "B": "2.6cm", + "C": "2.7cm", + "D": "1.95cm" + }, + "answer": "C", + "original_image_filename": "phyx_77.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0078/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0078/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..bd80fa102579f2a219e025b37d248855822237b7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0078/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "78", + "question": "The figure shows a simple zoom lens in which the magnitudes of both focal lengths are \\( f \\). If the spacing \\( d < f \\), the image of the converging lens falls on the right side of the diverging lens. Our procedure of letting the image of the first lens act as the object of the second lens will continue to work in this case if we use a negative object distance for the second lens. This is called a virtual object. Consider a very distant object ( \\( s \\approx \\infty \\) for the first lens) and define the effective focal length as the distance from the midpoint between the lenses to the final image. What is the zoom for a lens that can be adjusted from \\( d = 0.5 * f \\) to \\( d = 0.25 * f \\)?", + "choices": { + "A": "1.4", + "B": "2.6", + "C": "2.5", + "D": "1.95" + }, + "answer": "C", + "original_image_filename": "phyx_78.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0079/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0079/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..59b279954f2040661b19724eb7a20610d03f294b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0079/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "79", + "question": "In figure, let a beam of x rays of wavelength 0.125\\,\\text{nm} be incident on an NaCl crystal at angle \\( \theta = 45.0^\\circ \\) to the top face of the crystal and a family of reflecting planes. Let the reflecting planes have separation \\( d = 0.252\\,\\text{nm} \\). The crystal is turned through angle \\( \\phi \\) around an axis perpendicular to the plane of the page until these reflecting planes give diffraction maxima. What is the larger value of \\( \\phi \\) if it is turned counterclockwise?", + "choices": { + "A": "31.0^\\circ", + "B": "48.0^\\circ", + "C": "37.8^\\circ", + "D": "41.4^\\circ" + }, + "answer": "C", + "original_image_filename": "phyx_79.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0082/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0082/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..ceccfaebe5700c55880fce35a0c6017a8b858f03 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0082/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "82", + "question": "Light of wavelength $440 \\, \\text{nm}$ passes through a double slit, yielding a diffraction pattern whose graph of intensity $I$ versus angular position $\theta$ is shown in figure. Verify the displayed intensities of the $m = 1$ and $m = 2$ interference fringes.", + "choices": { + "A": "6.4\\", + "B": "5.2\\", + "C": "5.7\\", + "D": "4.8\\" + }, + "answer": "C", + "original_image_filename": "phyx_82.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0083/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0083/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..6b65c7e20656f92be5d44c1d2be57a8246134939 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0083/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "83", + "question": "Figure gives \\( \\alpha \\) versus the sine of the angle \\( \\theta \\) in a single-slit diffraction experiment using light of wavelength 610\\,\\text{nm}. The vertical axis scale is set by \\( \\alpha_s = 12\\,\\text{rad} \\). What is the slit width?", + "choices": { + "A": "2.10μm", + "B": "2.50μm", + "C": "2.33μm", + "D": "1.95μm" + }, + "answer": "C", + "original_image_filename": "phyx_83.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0084/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0084/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..89704dccc74f7b774661a847aa84b87f255de974 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0084/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "84", + "question": "In figure, an oil drop \\( n = 1.20 \\) floats on the surface of water \\( n = 1.33 \\) and is viewed from overhead when illuminated by sunlight shining vertically downward and reflected vertically upward. Move from the rim inward to the third blue band and, using a wavelength of 475\\,\\text{nm} for blue light, determine the film thickness there.", + "choices": { + "A": "356nm", + "B": "712nm", + "C": "594nm", + "D": "475nm" + }, + "answer": "C", + "original_image_filename": "phyx_84.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0085/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0085/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..5ca87c4a4ea54b3cd566c31e1623dff1678da068 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0085/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "85", + "question": "Four laser pistols are pointed toward the center of an array of plastic layers where a clay armadillo is the target. The indexes of refraction of the layers are \\( n_1 = 1.55 \\), \\( n_2 = 1.70 \\), \\( n_3 = 1.45 \\), \\( n_4 = 1.60 \\), \\( n_5 = 1.45 \\), \\( n_6 = 1.61 \\), \\( n_7 = 1.59 \\), \\( n_8 = 1.70 \\), and \\( n_9 = 1.60 \\). The layer thicknesses are either \\( 2.00\\,\\text{mm} \\) or \\( 4.00\\,\\text{mm} \\), as drawn. What is the travel time through the layers for the laser burst from pistol 3?", + "choices": { + "A": "42.5 \\times 10^{-12} \\", + "B": "43.5 \\times 10^{-12} \\", + "C": "43.2 \\times 10^{-12} \\", + "D": "42.8 \\times 10^{-12} \\" + }, + "answer": "C", + "original_image_filename": "phyx_85.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0091/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0091/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0cec3d5131598cc7dfd8a548a5628f34feb0d4cc --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0091/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "91", + "question": "As shown in figure, a ray of light traveling upward follows the path indicated. Find the angle the light makes with the normal in the air.", + "choices": { + "A": "82°", + "B": "83°", + "C": "81°", + "D": "84°" + }, + "answer": "A", + "original_image_filename": "phyx_91.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0096/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0096/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..856465d6c6426534b551388b4ef93878beef1973 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0096/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "96", + "question": "A ray of light is incident in air on a block of a transparent solid whose index of refraction is $n$. If $n = 1.38$. What is the largest angle of incidence $\\theta_a$ for which total internal reflection will occur at the vertical face.", + "choices": { + "A": "72.1°", + "B": "73.2°", + "C": "70.8°", + "D": "71.9°" + }, + "answer": "A", + "original_image_filename": "phyx_96.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0099/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0099/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ffbb23801cdcb8e084be5fb27a833de2e4463603 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0099/prompt.txt @@ -0,0 +1,8 @@ +The prism has a refractive index of 1.66, and the angles $A$ are $25.0^\circ$. Two light rays $m$ and $n$ are parallel. What is the angle between them after they emerge? + +A: 39.1° +B: 35.9° +C: 37.3° +D: 38.2° + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0101/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0101/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6db55b9a17b2bc96cba9b95a31a5b1b2301049db --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0101/prompt.txt @@ -0,0 +1,8 @@ +When the sun is either rising or setting and appears to be just on the horizon, it is in fact below the horizon. The explanation for this seeming paradox is that light from the sun bends slightly when entering the earth's atmosphere.using $n = 1.0003$ and $h = 20 \, \text{km}$. Calculate $\delta$. + +A: 0.23° +B: 0.30° +C: 0.20° +D: 0.25° + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0106/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0106/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..035334a68f4b3377ee6ddd40e9563d0b79d0809b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0106/prompt.txt @@ -0,0 +1,8 @@ +When viewed from outside, the spherical object appears to have radius $r' > r$.The object is a spherical dandelion seed head with diameter $45.0 \, ext{mm}$ fixed at the center of a solidified resin sphere with radius $80.0 \, ext{mm}$ and index of refraction $1.53$. What diameter will the seed head appear to have when viewed from outside? + +A: 68.9mm +B: 67.6mm +C: 66.7mm +D: 69.2mm + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0108/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0108/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ed9a58bc8904d4904ee757d2cd864614e9f16794 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0108/prompt.txt @@ -0,0 +1,8 @@ +A reflecting telescope is to be made by using a spherical mirror with a radius of curvature of 1.30 m and an eyepiece with a focal length of 1.10 cm. The final image is at infinity. What will the angular magnification be? + +A: 59.1 +B: 58.5 +C: 57.9 +D: 56.7 + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0113/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0113/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..b578281059fd857c458a34362ab55d86c3f2a458 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0113/prompt.txt @@ -0,0 +1,8 @@ +In setting up an experiment for a high school biology lab, you use a concave spherical mirror to produce real images of a 4.00-mm-tall firefly. The firefly is to the right of the mirror, on the mirror's optic axis, and serves as a real object for the mirror. You want to determine how far the object must be from the mirror's vertex to produce an image of a specified height. First you place a square of white cardboard to the right of the object and find what its distance from the vertex needs to be so that the image is sharply focused on it. Next you measure the height of the sharply focused images for five values of $s$. How far from the mirror's vertex should you place the object in order for the image to be real, 8.00 mm tall, and inverted? + +A: 37.5cm +B: 38.6cm +C: 36.4cm +D: 35.8cm + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0114/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0114/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..9d5aa6181941de15b4eb0eee1feaf5617fc177fe --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0114/prompt.txt @@ -0,0 +1,8 @@ +The mirror is a parabola defined by $y = ax^2$, with $a$ in units of (distance)$^{-1}$, rotated around the $y$-axis. Find the distance $f$ in terms of $a$. + +A: f = 1/4a +B: f = 1/6a +C: f = 1/8a +D: f = 1/2a + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0139/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0139/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..cdc20436c990a914c9837b7935a3e42bd5f5e0d9 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0139/prompt.txt @@ -0,0 +1,8 @@ +An external rearview car mirror is convex with a radius of curvature of \(16.0\,\mathrm{m}\). An object is \(10.0\,\mathrm{m}\) from the mirror. Determine the image's magnification for the object. + +A: +0.24 +B: +0.34 +C: +0.44 +D: +0.54 + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0152/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0152/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..7d61be7fc38ada13268d2396e8ee18a0fdd4289d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0152/prompt.txt @@ -0,0 +1,8 @@ +One of the beams of an interferometer passes through a small evacuated glass container.When a gas is allowed to slowly fill the container, a total of 158 dark fringes are counted to move past a reference line. The light used has a wavelength of \(632.8\,\mathrm{nm}\).Assumed that the interferometer is in vacuum. Calculate the index of refraction of the gas at its final density. + +A: 1.004008 +B: 1.004828 +C: 1.004328 +D: 1.005018 + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0178/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0178/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..a68cb110ada3d8a983ff25bdfa3566a1f8c7f4d3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0178/prompt.txt @@ -0,0 +1,8 @@ +Figure shows a standing wave that is oscillating at frequency $f_0$. If the tension in the string is increased by a factor of four, for what frequency, in terms of $f_0$, will the string continue to oscillate as a standing wave with four antinodes? + +A: $\sqrt{2} f_0$ +B: $f_0$ +C: $\frac{f_0}{2}$ +D: $2 f_0$ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0199/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0199/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..d70269653d4034332ab94561d830a005ce83696d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0199/prompt.txt @@ -0,0 +1,8 @@ +When a family of four with a total mass of \(200\,\mathrm{kg}\) step into their \(1200\,\mathrm{kg}\) car, the car's springs compress \(3.0\,\mathrm{cm}\). The car was loaded with \(300\,\mathrm{kg}\) rather than \(200\,\mathrm{kg}\). How far will the car lower? + +A: $7.5\times10^4\ +B: $6.5\times10^3\ +C: $5.5\times10^4\ +D: $6.5\times10^4\ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0203/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0203/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..1bc8ad6f467e5324312aa7698f1b1da8323b9048 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0203/prompt.txt @@ -0,0 +1,8 @@ +A block is supported by two identical parallel vertical springs, each with spring stiffness constant \( k \). What will be the frequency of vertical oscillation? + +A: $\frac{1}{2\pi} \sqrt{\frac{k}{2m}}$ +B: $\frac{1}{2\pi} \sqrt{\frac{2k}{m^2}}$ +C: $\frac{1}{2\pi} \sqrt{\frac{k}{m}}$ +D: $\frac{1}{2\pi} \sqrt{\frac{2k}{m}}$ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0204/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0204/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..dcce85836f01638c5eb9035cc3cde4c407076726 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0204/prompt.txt @@ -0,0 +1,8 @@ +One end of a horizontal string is attached to a small-amplitude mechanical 60.0\,\mathrm{Hz} oscillator. The string's mass per unit length is \( 3.5 \times 10^{-4}\,\mathrm{kg/m} \).Assume the string at the oscillator is a node, which is nearly true. What mass \( m \) must be hung from this end of the string to produce one loop? + +A: 1.8kg +B: 1.6kg +C: 1.4kg +D: 1.2kg + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0210/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0210/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..f7c1f24d1a9add715ceae7ee8e5c647e8f1fde3f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0210/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "210", + "question": "A highway overpass was observed to resonate as one full loop \\( \\left( \\frac{1}{2}\\lambda \\right) \\) when a small earthquake shook the ground vertically at \\( 3.0\\,\\mathrm{Hz} \\). What resonant frequency would you now expect for the overpass?", + "choices": { + "A": "4.0Hz", + "B": "10.0Hz", + "C": "8.0Hz", + "D": "6.0Hz" + }, + "answer": "D", + "original_image_filename": "phyx_210.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0213/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0213/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..121c6524fe01e086e4abbac7e6f001a08ce2954a --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0213/prompt.txt @@ -0,0 +1,8 @@ +Wind can be noisy—it can \"howl\" in trees; it can \"moan\" in chimneys. What is the sound frequency of the vibrating tree branch? + +A: 440Hz +B: 460Hz +C: 480Hz +D: 500Hz + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0217/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0217/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..8276606831fd1bd0f3f6f10c0ffe2932d24a6c32 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0217/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "217", + "question": "You put your ear very near a \\( 15\\,\\mathrm{cm} \\)-diameter seashell. Estimate the frequency of the sound of the ocean.", + "choices": { + "A": "510Hz", + "B": "530Hz", + "C": "550Hz", + "D": "570Hz" + }, + "answer": "D", + "original_image_filename": "phyx_217.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0219/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0219/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..97bd620fd4b955e53c5f7de34f3b9310139975a3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0219/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "219", + "question": "They emit \\( 474\\,\\mathrm{Hz} \\) sounds, in phase. A microphone is placed between the two speakers, where an intensity maximum is recorded. How far must the microphone be moved to the right to find the first intensity minimum?", + "choices": { + "A": "0.729m", + "B": "0.629m", + "C": "0.529m", + "D": "0.429m" + }, + "answer": "D", + "original_image_filename": "phyx_219.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0221/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0221/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..96438f0ff106a38cc366fa5a987f084735057e6e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0221/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "221", + "question": "A supersonic jet traveling at Mach \\( 2.0 \\) passes directly over an observer on the ground. Where will the plane be relative to the observer when the latter hears the sonic boom?", + "choices": { + "A": "28km", + "B": "24km", + "C": "20km", + "D": "16km" + }, + "answer": "D", + "original_image_filename": "phyx_221.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0226/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0226/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0fe7a1aa84bebcfe5bff74513926334f0b1c3c84 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0226/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "226", + "question": "A \\( 0.250\\,\\mathrm{kg} \\) block resting on a frictionless, horizontal surface is attached to a spring whose force constant is \\( 83.8\\,\\mathrm{N/m} \\) as in figure. A horizontal force \\( \\vec{F} \\) causes the spring to stretch a distance of \\( 5.46\\,\\mathrm{cm} \\) from its equilibrium position. What is the total energy stored in the system when the spring is stretched?", + "choices": { + "A": "0.325J", + "B": "0.225J", + "C": "0.425J", + "D": "0.125J" + }, + "answer": "D", + "original_image_filename": "phyx_226.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0228/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0228/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..6d8ce341926cbcd35d6cf69d50c03ed1d78047cb --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0228/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "228", + "question": "A wheel has a period of oscillation of \\( 0.250\\,\\mathrm{s} \\). The wheel is constructed so that its mass of \\( 20.0\\,\\mathrm{g} \\) is concentrated around a rim of radius \\( 0.500\\,\\mathrm{cm} \\). What is the torsion constant of the attached spring?", + "choices": { + "A": "$3.61\\times10^{-4}\\", + "B": "$3.16\\times10^{-3}\\", + "C": "$2.16\\times10^{-4}\\", + "D": "$3.16\\times10^{-4}\\" + }, + "answer": "D", + "original_image_filename": "phyx_228.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0242/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0242/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0d111545d4ff7fec00fcbe8cff56def54622a908 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0242/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "242", + "question": "A light string with a mass per unit length of \\( 8.00\\,\\mathrm{g/m} \\) has its ends tied to two walls separated by a distance. An object is suspended from the center of the string, putting a tension in the string.The wave speed is to be \\( 60.0\\,\\mathrm{m/s} \\). What should be the mass of the object suspended from the string?", + "choices": { + "A": "3.19kg", + "B": "4.19kg", + "C": "3.99kg", + "D": "3.89kg" + }, + "answer": "D", + "original_image_filename": "phyx_242.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0243/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0243/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..f3b4ad2c638efd3dd44a53534619755a8b0b8282 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0243/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "243", + "question": "A block of mass \\( M = 0.450\\,\\mathrm{kg} \\) is attached to one end of a cord of mass \\( 0.003\\,20\\,\\mathrm{kg} \\); the other end of the cord is attached to a fixed point. The block rotates with constant angular speed in a circle on a frictionless, horizontal table. Through what angle does the block rotate in the time interval during which a transverse wave travels along the string from the center of the circle to the block?", + "choices": { + "A": "0.0833rad", + "B": "0.0863rad", + "C": "0.0853rad", + "D": "0.0843rad" + }, + "answer": "D", + "original_image_filename": "phyx_243.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0244/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0244/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..bd69eca2c8b63530cb69dff1277af0311c0ac9ab --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0244/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "244", + "question": "If a loop of chain is spun at high speed, it can roll along the ground like a circular hoop without collapsing. Consider a chain of uniform linear mass density \\( \\mu \\) whose center of mass travels to the right.Assume the weight of an individual link is negligible compared to the tension. Determine the tension in the chain in terms of \\( \\mu \\) and \\( v_0 \\).", + "choices": { + "A": "$T = \\alpha \\sqrt{v_0}$", + "B": "$T = \\alpha v_0^3$", + "C": "$T = \\alpha v_0$", + "D": "$T = \\alpha v_0^2$" + }, + "answer": "D", + "original_image_filename": "phyx_244.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0245/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0245/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..29a16b8b46f33dcebd795cb18059173b60edf4f0 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0245/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "245", + "question": "Helium-neon lasers commonly used in classroom demonstrations and supermarket checkout scanners. A helium-neon laser operates at a wavelength of precisely $632.9924 \\, \\mathrm{nm}$ when the spacing between the mirrors is $310.372 \\, \\mathrm{mm}$. What is the next longest wavelength that could form a standing wave in this laser cavity?", + "choices": { + "A": "632.9930nm", + "B": "622.9930nm", + "C": "642.5693nm", + "D": "630.9130nm" + }, + "answer": "A", + "original_image_filename": "phyx_245.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0250/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0250/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..e53fdcb53bfb28c38816174dbf64d0bb54c80b00 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0250/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "250", + "question": "A Michelson interferometer uses a helium-neon laser with wavelength $\\lambda_{vac} = 633\\;nm$. In one arm, the light passes through a $4.00\\;cm$-thick glass cell. Initially the cell is evacuated, and the interferometer is adjusted so that the central spot is a bright fringe. The cell is then slowly filled to atmospheric pressure with a gas. As the cell fills, 43 bright-dark-bright fringe shifts are seen and counted. What is the index of refraction of the gas at this wavelength?", + "choices": { + "A": "1.00034", + "B": "1.00031", + "C": "1.00042", + "D": "1.00028" + }, + "answer": "A", + "original_image_filename": "phyx_250.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0257/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0257/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..1c3646613c854f5776f132a90beb568442dd9ac2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0257/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "257", + "question": "In figure, a block weighing $14.0\\ N$, which can slide without friction on an incline at angle $\\theta = 40.0^\\circ$, is connected by a massless spring of unstretched length $0.450\\ m$ and spring constant $120\\ N/m$. If the block is pulled slightly down the incline and released, what is the period of the resulting oscillations?", + "choices": { + "A": "0.619 s", + "B": "0.628 s", + "C": "0.686 s", + "D": "0.742 s" + }, + "answer": "C", + "original_image_filename": "phyx_257.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0258/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0258/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..a356c9e5923e6351ef588b08c7b02ea213db5857 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0258/prompt.txt @@ -0,0 +1,8 @@ +In figure, two blocks ($m = 1.8\ kg$ and $M = 10\ kg$) and a spring ($k = 200\ N/m$) are arranged on a horizontal, frictionless surface. The coefficient of static friction between the two blocks is $0.40$. What amplitude of simple harmonic motion of the spring$-$blocks system puts the smaller block on the verge of slipping over the larger block? + +A: 17 cm +B: 20 cm +C: 23 cm +D: 26 cm + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0259/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0259/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..d1abcb9594fd17d8fdd893f01864eaf7e1bfbd21 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0259/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "259", + "question": "Figure shows the kinetic energy $K$ of a simple harmonic oscillator versus its position $x$. The vertical axis scale is set by $K_s = 4.0\\ J$. What is the spring constant?", + "choices": { + "A": "$7.9 \\times 10^2\\\\ N/m$", + "B": "$8.0 \\times 10^2\\\\ N/m$", + "C": "$8.3 \\times 10^2\\\\ N/m$", + "D": "$8.6 \\times 10^2\\\\ N/m$" + }, + "answer": "C", + "original_image_filename": "phyx_259.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0260/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0260/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..e5e889fb8e436ea1e8c123e83bb21e427985f536 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0260/prompt.txt @@ -0,0 +1,8 @@ +In figure, a block of mass $M = 5.4\ kg$, at rest on a frictionless table, is attached to a rigid support by a spring of constant $k = 6000\ N/m$. A bullet of mass $m = 9.5\ g$ and velocity $\vec{v}$ of magnitude $630\ m/s$ strikes and is embedded in the block. Assuming the compression of the spring is negligible until the bullet is embedded, determine the amplitude of the resulting simple harmonic motion. + +A: $2.8 \times 10^{-2}\\ m$ +B: $3.1 \times 10^{-2}\\ m$ +C: $3.3 \times 10^{-2}\\ m$ +D: $3.6 \times 10^{-2}\\ m$ + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0268/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0268/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..232551e6ef7d43ca1ed96e121f3b39e8f8f79a76 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0268/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "268", + "question": "In the overhead view of figure, a long uniform rod of mass $0.600\\ kg$ is free to rotate in a horizontal plane about a vertical axis through its center. A spring with force constant $k = 1850\\ N/m$ is connected horizontally between one end of the rod and a fixed wall. When the rod is in equilibrium, it is parallel to the wall. What is the period of the small oscillations that result when the rod is rotated slightly and released?", + "choices": { + "A": "0.0562 s", + "B": "0.0587 s", + "C": "0.0653 s", + "D": "0.0674 s" + }, + "answer": "C", + "original_image_filename": "phyx_268.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0272/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0272/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..00844d6e7f8cdca5cd26bf4a3eaf1e8b7b4c75b7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0272/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "272", + "question": "A wheel is free to rotate about its fixed axle. Assuming that the wheel is a hoop of mass $m$ and radius $R$, What is $\\omega$ if $r = R$?", + "choices": { + "A": "$\\sqrt{k/2m}. $", + "B": "$\\sqrt{2k/m}. $", + "C": "$\\sqrt{k/m}. $", + "D": "0" + }, + "answer": "C", + "original_image_filename": "phyx_272.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0273/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0273/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..cc822d0c613c776c715721926c34399354588db2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0273/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "273", + "question": "Figure gives the position $x(t)$ of a block oscillating in SHM on the end of a spring ($t_s = 40.0\\ ms$). What is the magnitude of the radial acceleration of a particle in the corresponding uniform circular motion?", + "choices": { + "A": "$1.3 \\times 10^3\\\\ m/s^2$", + "B": "$1.5 \\times 10^3\\\\ m/s^2$", + "C": "$1.7 \\times 10^3\\\\ m/s^2$", + "D": "$1.9 \\times 10^3\\\\ m/s^2$" + }, + "answer": "C", + "original_image_filename": "phyx_273.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0274/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0274/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..9685a530baf44605a40452e1313300b8c27006a1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0274/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "274", + "question": "Figure shows the kinetic energy $K$ of a simple pendulum versus its angle $\\theta$ from the vertical. The vertical axis scale is set by $K_s = 10.0\\ mJ$. The pendulum bob has mass $0.200\\ kg$. What is the length of the pendulum?", + "choices": { + "A": "1.47 m", + "B": "1.50 m", + "C": "1.53 m", + "D": "1.56 m" + }, + "answer": "C", + "original_image_filename": "phyx_274.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0275/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0275/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..d03d71596e66314facdda8c98c34eebd72878490 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0275/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "275", + "question": "A simple harmonic oscillator consists of a $0.50\\ kg$ block attached to a spring. The block slides back and forth along a straight line on a frictionless surface with equilibrium point $x = 0$. At $t = 0$ the block is at $x = 0$ and moving in the positive $x$ direction. A graph of the magnitude of the net force $\\vec{F}$ on the block as a function of its position is shown in figure. The vertical scale is set by $F_s = 75.0\\ N$. What is the maximum kinetic energy?", + "choices": { + "A": "10.2 J", + "B": "10.8 J", + "C": "11.3 J", + "D": "12.4 J" + }, + "answer": "C", + "original_image_filename": "phyx_275.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0280/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0280/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..3a99e68007b6c045a6ca25a2af5a753638114f11 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0280/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "280", + "question": "A simple harmonic oscillator consists of a block attached to a spring with \\(k = 200\\,\\mathrm{N/m}\\). The block slides on a frictionless surface, with equilibrium point \\(x = 0\\) and amplitude \\(0.20\\,\\mathrm{m}\\). A graph of the block's velocity \\(v\\) as a function of time \\(t\\) is shown in figure. The horizontal scale is set by \\(t_s = 0.20\\,\\mathrm{s}\\). What is its maximum kinetic energy?", + "choices": { + "A": "3.5 J", + "B": "3.8 J", + "C": "4.5 J", + "D": "4.0 J" + }, + "answer": "D", + "original_image_filename": "phyx_280.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0281/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0281/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..a21d3b417a6f2d2d473d39195538d74c2d3e13a5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0281/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "281", + "question": "Figure shows that if we hang a block on the end of a spring with spring constant $k$, the spring is stretched by distance $h = 2.0$ cm. If we pull down on the block a short distance and then release it, it oscillates vertically with a certain frequency. What length must a simple pendulum have to swing with that frequency?", + "choices": { + "A": "1.60 cm", + "B": "1.80 cm", + "C": "2.20 cm", + "D": "2.00 cm" + }, + "answer": "D", + "original_image_filename": "phyx_281.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0286/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0286/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..815f088bbd5e0eecb67063961f922e86355ec9c3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0286/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "286", + "question": "A sand scorpion can detect the motion of a nearby beetle (its prey) by the waves the motion sends along the sand surface. The waves are of two types: transverse waves traveling at \\(v_t = 50\\,\\mathrm{m/s}\\) and longitudinal waves traveling at \\(v_l = 150\\,\\mathrm{m/s}\\). If a sudden motion sends out such waves, a scorpion can tell the distance of the beetle from the difference \\(\\Delta t\\) in the arrival times of the waves at its leg nearest the beetle. If \\(\\Delta t = 4.0\\,\\mathrm{ms}\\), what is the beetle's distance?", + "choices": { + "A": "20 cm", + "B": "25 cm", + "C": "35 cm", + "D": "30 cm" + }, + "answer": "D", + "original_image_filename": "phyx_286.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0287/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0287/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..df2895cfdb3e12e37f42ce58f3c78171c7a50034 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0287/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "287", + "question": "A sinusoidal wave travels along a string under tension. Figure 16-31 gives the slopes along the string at time $t = 0$. The scale of the $x$ axis is set by $x_s = 0.80$ m. What is the amplitude of the wave?", + "choices": { + "A": "0.0089 m", + "B": "0.0113 m", + "C": "0.0164 m", + "D": "0.0127 m" + }, + "answer": "D", + "original_image_filename": "phyx_287.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0288/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0288/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..9de948931244fd4f9479ede3ba13ff8e93cb98c4 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0288/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "288", + "question": "Figure shows the transverse velocity $u$ versus time $t$ of the point on a string at $x = 0$, as a wave passes through it. The scale on the vertical axis is set by $u_s = 4.0$ m/s. The wave has the generic form $y(x, t) = y_m \\sin(kx - \\omega t + \\phi)$. What then is $\\phi$?", + "choices": { + "A": "-0.78 rad", + "B": "-0.36 rad", + "C": "0.64 rad", + "D": "-0.64 rad" + }, + "answer": "D", + "original_image_filename": "phyx_288.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0289/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0289/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0cb2269dcde60e353ce0becb02c833cc4b6bc5ec --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0289/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "289", + "question": "A sinusoidal wave moving along a string is shown twice in figure, as crest $A$ travels in the positive direction of an $x$ axis by distance $d = 6.0$ cm in $4.0$ ms. The tick marks along the axis are separated by $10$ cm; height $H = 6.00$ mm. The equation for the wave is in the form $y(x, t) = y_m \\sin(kx \\pm \\omega t)$, so what is $\\omega$?", + "choices": { + "A": "$1.8\\times 10^{2}$ rad/s", + "B": "$2.0\\times 10^{2}$ rad/s", + "C": "$2.8\\times 10^{2}$ rad/s", + "D": "$2.4\\times 10^{2}$ rad/s" + }, + "answer": "D", + "original_image_filename": "phyx_289.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0292/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0292/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..9d3af9da5ca009f421fca398afb32004ad841bb1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0292/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "292", + "question": "In figure, string 1 has a linear density of \\(3.00\\,\\mathrm{g/m}\\), and string 2 has a linear density of \\(5.00\\,\\mathrm{g/m}\\). They are under tension due to the hanging block of mass \\(M = 500\\,\\mathrm{g}\\). Calculate the wave speed on string 2.", + "choices": { + "A": "19.8 m/s", + "B": "20.3 m/s", + "C": "21.4 m/s", + "D": "22.1 m/s" + }, + "answer": "D", + "original_image_filename": "phyx_292.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0294/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0294/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..cafd43bbbcb2dc1c52ae21abe424338434cd0173 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0294/prompt.txt @@ -0,0 +1,8 @@ +Two sinusoidal waves with the same amplitude of $9.00$ mm and the same wavelength travel together along a string that is stretched along an $x$ axis. Their resultant wave is shown twice in figure, as valley $A$ travels in the negative direction of the $x$ axis by distance $d = 56.0$ cm in $8.0$ ms. The tick marks along the axis are separated by $10$ cm, and height $H$ is $8.0$ mm. Let the equation for one wave be of the form $y(x, t) = y_m \sin(kx \pm \omega t + \phi_1)$, where $\phi_1 = 0$ and you must choose the correct sign in front of $\omega$. For the equation for the other wave, what is $\phi_2$? + +A: 2.48 rad +B: 2.55 rad +C: 2.62 rad +D: 2.69 rad + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0319/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0319/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..572b31e789956c2958f171739fec519fc539f47a --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0319/prompt.txt @@ -0,0 +1,8 @@ +In figure, a French submarine and a U.S. submarine move during maneuvers in motionless water in the North Atlantic. The French sub moves at speed $v_F = 50.00$ km/h, and the U.S. sub at $v_{US} = 70.00$ km/h. The French sub sends out a sonar signal (sound wave in water) at $1.000 \times 10^3$ Hz. Sonar waves travel at $5470$ km/h. What frequency is detected by the French sub in the signal reflected back to it by the U.S. sub? + +A: $1.005\times 10^{3}$ Hz +B: $1.021\times 10^{3}$ Hz +C: $1.032\times 10^{3}$ Hz +D: $1.045\times 10^{3}$ Hz + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0321/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0321/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..122f5ee53961de4c684ac76307ac20f609d3746e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0321/prompt.txt @@ -0,0 +1,8 @@ +A sperm whale vocalizes by producing a series of clicks. Actually, the whale makes only a single sound near the front of its head to start the series. Part of that sound then emerges from the head into the water to become the first click of the series. The rest of the sound travels backward through the spermaceti sac (a body of fat), reflects from the frontal sac (an air layer), and then travels forward through the spermaceti sac. When it reaches the distal sac (another air layer) at the front of the head, some of the sound escapes into the water to form the second click, and the rest is sent back through the spermaceti sac (and ends up forming later clicks). Figure also shows a strip-chart recording of a series of clicks. Assuming that the speed of sound in the spermaceti sac is \(1372\,\mathrm{m/s}\), find the length of the spermaceti sac. + +A: 3.4 m +B: 2.9 m +C: 2.5 m +D: 2.1 m + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0326/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0326/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..e0f3cf24e0de83231e3dc06dd729c9a656663f6e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0326/prompt.txt @@ -0,0 +1,8 @@ +On July 10, 1996, a granite block broke away from a wall in Yosemite Valley and, as it began to slide down the wall, was launched into projectile motion. Seismic waves produced by its impact with the ground triggered seismographs as far away as $200$ km. Later measurements indicated that the block had a mass between $7.3 \times 10^7$ kg and $1.7 \times 10^8$ kg and that it landed $500$ m vertically below the launch point and $30$ m horizontally from it. Consider two types of seismic waves that spread from the impact point—a hemispherical \textit{body wave} traveled through the ground in an expanding hemisphere and a cylindrical \textit{surface wave} traveled along the ground in an expanding shallow vertical cylinder. Assume that the impact lasted \(0.50\,\mathrm{s}\), the vertical cylinder had a depth \(d = 5.0\,\mathrm{m}\), and each wave type received 20\% of the energy the block had just before impact. Neglecting any mechanical energy loss the waves experienced as they traveled, determine the intensities of the surface wave when they reached a seismograph \(200\,\mathrm{km}\) away. + +A: $43$ kW/m$^2$ +B: $48$ kW/m$^2$ +C: $53$ kW/m$^2$ +D: $58$ kW/m$^2$ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0333/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0333/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..fd3aabe707ee70566defe74d2c2294da62e88a25 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0333/prompt.txt @@ -0,0 +1,8 @@ +In an evacuated enclosure, a vertical cylindrical tank is sealed by a 3.00\,kg circular disk that can move up and down without friction. Beneath the disk is a quantity of ideal gas at temperature $T$ in the cylinder. Initially the disk is at rest at a distance of $h = 4.00$\,m above the bottom of the tank. When a lead brick of mass 9.00\,kg is gently placed on the disk, the disk moves downward. If the temperature of the gas is kept constant and no gas escapes from the tank, what distance above the bottom of the tank is the disk when it again comes to rest? + +A: 1m +B: 1.5m +C: 1.6m +D: 1.9m + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0334/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0334/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6d8a4c55e56ff8ec1201c6d1431bffe1beb1981e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0334/prompt.txt @@ -0,0 +1,8 @@ +The tank has compressed air between the water surface and the top. When the water height $h$ has the value 3.50\,m, the absolute pressure $p$ of the compressed air is $4.20 \times 10^5$\,Pa. Assume that the air above the water expands at constant temperature, and take the atmospheric pressure to be $1.00 \times 10^5$\,Pa. As water flows out of the tank, $h$ decreases. At what value of $h$ does the flow stop? + +A: 1.74m +B: 1.55m +C: 1.64m +D: 1.92m + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0360/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0360/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..852cfbbf4968990137f8788793894107729d1060 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0360/prompt.txt @@ -0,0 +1,8 @@ +A large, 50.0-cm-diameter metal cylinder filled with air supports a piston that can slide up and down without friction. The piston is 100.0 cm above the bottom when the temperature is 20^\circ C. A student then stands on the piston. After several minutes have elapsed, by how much has the piston been depressed? + +A: 3.8cm +B: 3.0cm +C: 5.0cm +D: 4.0cm + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0373/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0373/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..79b20140c9c1f1c52c7685c2f76cb3ad1c486ddd --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0373/prompt.txt @@ -0,0 +1,8 @@ +4.0\,\text{g} of oxygen gas, starting at 20^\cir\text{C}, follow the process \( 1 ightarrow 2 \) shown in figure. What is temperature \( T_2 \) (in \^\circ\text{C})? + +A: 2364^\circ C +B: 556^\circ C +C: 636^\circ C +D: 784^\circ C + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0375/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0375/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..e5b3079eadc54c7463e21348ff28021f8a587c99 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0375/prompt.txt @@ -0,0 +1,8 @@ +The cylinder in figure has a moveable piston attached to a spring. The cylinder contains 0.0040\ \text{mol} of gas. At 20^\circ\text{C} the spring is neither compressed nor stretched. How far is the spring compressed if the gas temperature is raised to 100^\circ\text{C}? + +A: 1cm +B: 2cm +C: 5cm +D: 1.2cm + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0401/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0401/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..44f0c2f01b3820e13e235b0fb46c04cff3b5af70 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0401/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "401", + "question": "A 1-m$^3$ rigid tank with air at 1 MPa and 400 K is connected to an air line as shown in figure. The valve is opened and air flows into the tank until the pressure reaches 5 MPa, at which point the valve is closed and the temperature inside is 450 K. The tank eventually cools to room temperature, 300 K. What is the pressure inside the tank then?", + "choices": { + "A": "4MPa", + "B": "3.33MPa", + "C": "154kPa", + "D": "10.2kPa" + }, + "answer": "B", + "original_image_filename": "phyx_401.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0406/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0406/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..8fd28ed6e6f775826a3b294e4aa7293f5d3df7ee --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0406/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "406", + "question": "A beaker is filled with 20 $\text{g}$ of water at 20 $^{\\circ}\\text{C}$. It is brought into thermal contact with a 4000 $\text{cm}^3$ container holding 0.40 $\text{mol}$ of a monatomic gas at 10 $\text{atm}$ pressure. Both containers are insulated from their surroundings. You can assume that the containers are nearly massless and do not affect the outcome. What is the gas pressure after a long time has elapsed?", + "choices": { + "A": "5.0 atm", + "B": "10.0 atm", + "C": "2.8 atm", + "D": "1.0 atm" + }, + "answer": "C", + "original_image_filename": "phyx_406.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0409/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0409/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6d503af31ab1df0bf79886672cab647b0d3f87ed --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0409/prompt.txt @@ -0,0 +1,8 @@ +0.10 mol of nitrogen gas follow the two processes shown in figure. How much heat is required for process B (the isobaric expansion)? + +A: 700 J +B: 1000 J +C: 1400 J +D: -1400 J + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0412/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0412/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..6add2ec1d5b330be510483299c7acc05de068fec --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0412/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "412", + "question": "A monatomic gas follows the process shown in figure. How much heat is needed for process $2 \\rightarrow 3$?", + "choices": { + "A": "91 J", + "B": "0 J", + "C": "-91 J", + "D": "-150 J" + }, + "answer": "C", + "original_image_filename": "phyx_412.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0413/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0413/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..2aeaae410584498c0220a1283036ff9339356535 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0413/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "413", + "question": "Figure shows a thermodynamic process followed by 0.015 $\text{mol}$ of hydrogen. How much heat energy is transferred to the gas?", + "choices": { + "A": "-36 J", + "B": "0 J", + "C": "36 J", + "D": "72 J" + }, + "answer": "C", + "original_image_filename": "phyx_413.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0414/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0414/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0f81e16400274b8d6b631d169fb0a47de7fc686b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0414/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "414", + "question": "Figure shows a thermodynamic process followed by 120 $\text{mg}$ of helium. How much heat energy is transferred to or from the gas during each of the three segments?", + "choices": { + "A": "1.01 kJ", + "B": "0 kJ", + "C": "-1.01 kJ", + "D": "-0.61 kJ" + }, + "answer": "C", + "original_image_filename": "phyx_414.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0415/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0415/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..3dc423289d5850f63e21640d7aa762e3c1dc454c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0415/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "415", + "question": "Figure shows a thermodynamic process followed by 120 $\text{mg}$ of helium. How much heat is transferred to or from the gas during $2 \\rightarrow 3$?", + "choices": { + "A": "0 J", + "B": "-334 J", + "C": "-239 J", + "D": "239 J" + }, + "answer": "C", + "original_image_filename": "phyx_415.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0422/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0422/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..8f078e97396bb14619d0c5080c804c37fad83e11 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0422/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "422", + "question": "This problem involves calculating the thermal efficiency and the heat extracted from the hot reservoir for a heat engine operating in a closed $p$-$V$ cycle. What is the thermal efficiency?", + "choices": { + "A": "0.14", + "B": "0.10", + "C": "0.75", + "D": "0.13" + }, + "answer": "D", + "original_image_filename": "phyx_422.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0423/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0423/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..a7ec54dd3350313dfd59ca5ce5b21b663761e76b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0423/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "423", + "question": "This problem focuses on evaluating the performance of a refrigerator by analyzing the heat extracted and the corresponding work input over one complete cycle. What is the coefficient of performance for the refrigerator shown in figure?", + "choices": { + "A": "2.90", + "B": "0.61", + "C": "2.56", + "D": "1.6" + }, + "answer": "D", + "original_image_filename": "phyx_423.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0424/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0424/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..57a719d6ab2702173fc23336cc007bbaf21b7a2d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0424/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "424", + "question": "Figure shows a Carnot heat engine driving a Carnot refrigerator. Determine $Q_3$.", + "choices": { + "A": "1000 J", + "B": "1500 J", + "C": "2000 J", + "D": "2500 J" + }, + "answer": "D", + "original_image_filename": "phyx_424.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0425/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0425/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..3bbefa3963ae8055c4ee555fe59e41f85a519c14 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0425/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "425", + "question": "A heat engine using \\( 1.0\\,\\mathrm{mol} \\) of a monatomic gas follows the cycle shown in the figure. What is the thermal efficiency of this heat engine?", + "choices": { + "A": "0.46", + "B": "0.40", + "C": "0.67", + "D": "0.15" + }, + "answer": "D", + "original_image_filename": "phyx_425.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0431/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0431/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..dec467be6860bddf455968c8479b47eb93630545 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0431/prompt.txt @@ -0,0 +1,8 @@ +A refrigerator using helium gas operates on the reversed cycle shown in figure. What are the refrigerator's power input if it operates at 60 cycles per second? + +A: 265 W +B: 190 W +C: 151 W +D: 227 W + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0436/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0436/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..12079c6ff2e5a1996cae4c436e78f7f1191ef6c2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0436/prompt.txt @@ -0,0 +1,8 @@ +Figure shows two insulated compartments separated by a thin wall. The compartment on the right is attached to a vertical cylinder, above which the air pressure is 1.0 $\text{atm}$. A 10-$\text{cm}$-diameter, 2.0 $\text{kg}$ piston can slide without friction up and down the cylinder. Neither the cylinder diameter nor the volumes of the compartments are known. How high is the piston lifted due to this heat transfer? + +A: 0.150 m +B: 0.098 m +C: 0.020 m +D: 0.050 m + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0439/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0439/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0d283e46a22d3766490a9c824240ec5abb27a434 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0439/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "439", + "question": "Two tanks are connected as shown in figure, both containing water. Tank $A$ is at $200 \\, \\text{kPa}$, $v = 0.5 \\, \\text{m}^3/\\text{kg}$, $V_A = 1 \\, \\text{m}^3$, and tank $B$ contains $3.5 \\, \\text{kg}$ at $0.5 \\, \\text{MPa}$ and $400 \\, ^{\\circ}\\text{C}$. The valve is now opened and the two tanks come to a uniform state. Find the final specific volume.", + "choices": { + "A": "0.4500 \\", + "B": "0.6173 \\", + "C": "0.5000 \\", + "D": "0.5746 \\" + }, + "answer": "D", + "original_image_filename": "phyx_439.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0441/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0441/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..8741c05907c896b973896fe22977f27cbe501eed --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0441/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "441", + "question": "Air in an automobile tire is initially at $-10 \\, ^{\\circ}\text{C}$ and $190 \\, \\text{kPa}$. After the automobile is driven awhile, the temperature rises to $10 \\, ^{\\circ}\text{C}$. You must make one assumption on your own. Find the new pressure.", + "choices": { + "A": "220.0 kPa", + "B": "213.1 kPa", + "C": "200.0 kPa", + "D": "204.4 kPa" + }, + "answer": "D", + "original_image_filename": "phyx_441.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0445/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0445/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..c2102e577fc526ede5ea9fb1d10b4102570b463d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0445/prompt.txt @@ -0,0 +1,8 @@ +A container with liquid nitrogen at $100 \, \text{K}$ has a cross-sectional area of $0.5 \, \text{m}^2$, as shown in figure. Due to heat transfer, some of the liquid evaporates, and in $1 \, \text{h}$ the liquid level drops $30 \, \text{mm}$. The vapor leaving the container passes through a valve and a heater and exits at $500 \, \text{kPa}$, $260 \, \text{K}$. Calculate the volume rate of flow of nitrogen gas exiting the heater. + +A: 0.00352 \ +B: 0.04530 \ +C: 0.01500 \ +D: 0.02526 \ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0446/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0446/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..f56c4f5e1ec71883ad877d373365ba99b0c29ac1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0446/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "446", + "question": "A cylinder/piston arrangement contains water at $105 \\, ^{\\circ}\text{C}$, $85\\%$ quality, with a volume of $1 \\, \\text{L}$. The system is heated, causing the piston to rise and encounter a linear spring, as shown in figure. At this point the volume is $1.5 \\, \\text{L}$, the piston diameter is $150 \\, \\text{mm}$, and the spring constant is $100 \\, \\text{N/mm}$. The heating continues, so the piston compresses the spring. What is the cylinder temperature when the pressure reaches $200 \\, \\text{kPa}$?", + "choices": { + "A": "203.5 \\", + "B": "265 \\", + "C": "600 \\", + "D": "641 \\" + }, + "answer": "D", + "original_image_filename": "phyx_446.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0448/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0448/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..a9b313663dc1c8b69e4e6cb80672ce5d293a5f03 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0448/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "448", + "question": "A $35 \\, \\text{ft}^3$ rigid tank has air at $225 \\, \\text{psia}$ and ambient $600 \\, R$ connected by a valve to a piston/cylinder. The piston of area $1 \\, \\text{ft}^2$ requires $40 \\, \\text{psia}$ below it to float. The valve is opened, the piston moves slowly $7 \\, \\text{ft}$ up, and the valve is closed. During the process, air temperature remains at $600 \\, R$. What is the final pressure in the tank?", + "choices": { + "A": "200 psia", + "B": "212 psia", + "C": "225 psia", + "D": "217 psia" + }, + "answer": "D", + "original_image_filename": "phyx_448.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0452/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0452/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..7877a70c5927e014ccd567e16f76342c6b88b4d5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0452/prompt.txt @@ -0,0 +1,8 @@ +A cylinder having a piston restrained by a linear spring (of spring constant $15 \, \text{kN/m}$) contains $0.5 \, \text{kg}$ of saturated vapor water at $120 \, ^{\circ}\text{C}$, as shown in figure. Heat is transferred to the water, causing the piston to rise. The piston's cross-sectional area is $0.05 \, \text{m}^2$ and the pressure varies linearly with volume until a final pressure of $500 \, \text{kPa}$ is reached. Find the heat transfer for the process. + +A: 578 kJ +B: 446 kJ +C: 491 kJ +D: 587 kJ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0455/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0455/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..b763af0e247f4c934308b6ff0c1a41ecd34a563d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0455/prompt.txt @@ -0,0 +1,8 @@ +A block of volume $1 \, \text{L}$ is heat treated at $500 \, ^{\circ}\text{C}$ and now cooled in a $200 \, \text{L}$ oil bath initially at $20 \, ^{\circ}\text{C}$, as shown in figure. Assuming no heat transfer with the surroundings, what is the final temperature? + +A: 243 \ +B: 110 \ +C: 56 \ +D: 25 \ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0467/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0467/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..02ac532649f50a4a2fc6bbe1b1ed347c7bc9af88 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0467/prompt.txt @@ -0,0 +1,8 @@ +A steel bar is welded end to end to a copper bar. Each bar has a square cross section. The free end of the steel bar is kept at 100^\circ \mathrm{C} by placing it in contact with steam, and the free end of the copper bar is kept at 0^\circ \mathrm{C} by placing it in contact with ice. Both bars are perfectly insulated on their sides. Find the total rate of heat flow through the bars. + +A: 12.8W +B: 15.9W +C: 17.5W +D: 19.5W + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0470/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0470/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..246151608d429254031a4b874b6f21af7cb8e383 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0470/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "470", + "question": "A pV-diagram for a cyclic process in which the initial and final states of some thermodynamic system are the same. The state of the system starts at point a, and the total work is W = -500 J. Find the heat added during this process.", + "choices": { + "A": "350J", + "B": "500J", + "C": "333J", + "D": "450J" + }, + "answer": "B", + "original_image_filename": "phyx_470.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0476/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0476/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..1b117d8e00b70d2b6d2021a9821a48e2de23095c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0476/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "476", + "question": "A gas at \\(2.0\\,\\mathrm{atm}\\) pressure and a temperature of \\(200^\\circ\\mathrm{C}\\) is first expanded isothermally until its volume has doubled. It then undergoes an isobaric compression until it returns to its original volume. Find the final pressure.", + "choices": { + "A": "3.0atm", + "B": "2.0atm", + "C": "1.0atm", + "D": "4.0atm" + }, + "answer": "C", + "original_image_filename": "phyx_476.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0477/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0477/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..664f6534222d69ec996ae729d48ef8074e9bacf4 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0477/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "477", + "question": "In figure, a beam light rays from a laser is incident on a solid transparent sphere of index of refraction $n$. If a point image is produced at the back of the sphere, what is the index of refraction of the sphere?", + "choices": { + "A": "1.7", + "B": "1.8", + "C": "1.9", + "D": "2.0" + }, + "answer": "D", + "original_image_filename": "phyx_477.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0479/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0479/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..a1b4275867166ad0ad67df3590bec7350e4a05f6 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0479/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "479", + "question": "Analyze the heat engine of figure.It runs at \\(600\\,\\mathrm{rpm}\\). Assume the gas is monatomic. Determine the engine's power output", + "choices": { + "A": "320W", + "B": "340W", + "C": "360W", + "D": "380W" + }, + "answer": "C", + "original_image_filename": "phyx_479.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0483/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0483/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..6732f35e6278f01b5a9038404eb0185bc9e76270 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0483/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "483", + "question": "The Eiffel Tower is built of wrought iron approximately \\(300\\,\\mathrm{m}\\) tall.The average temperature in January is \\(2^\\circ\\mathrm{C}\\)) and in July is \\(25^\\circ\\mathrm{C}\\)).Ignore the angles of the iron beams and treat the tower as a vertical beam. Estimate how much its height changes between January and July.", + "choices": { + "A": "0.12m", + "B": "0.06m", + "C": "0.10m", + "D": "0.08m" + }, + "answer": "D", + "original_image_filename": "phyx_483.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0484/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0484/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..dc37d02d35141ad33df872180868e0043f7a11e6 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0484/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "484", + "question": "The pressure cooker uses a weight to allow steam to escape at a certain pressure through a small hole in the cooker's lid.\\(d = 3.0\\,\\mathrm{mm}\\). Assume that atmospheric pressure outside the cooker is \\(1.01 \\times 10^5\\,\\mathrm{Pa}\\). What should \\(m\\) be in order to cook food at \\(120^\\circ\\mathrm{C}\\)?", + "choices": { + "A": "59g", + "B": "63g", + "C": "67g", + "D": "71g" + }, + "answer": "D", + "original_image_filename": "phyx_484.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0493/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0493/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..07c2086463b3a0a3cd24aad3fd8bf5a6ac23d82b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0493/prompt.txt @@ -0,0 +1,8 @@ +A heat engine's high temperature \(T_H\) could be ambient temperature, because liquid nitrogen at \(77\,\mathrm{K}\) could be \(T_L\) and is cheap.The Carnot engine made use of heat transferred from air at room temperature (\(293\,\mathrm{K}\)) to the liquid nitrogen fuel. What would be the efficiency of a Carnot engine? + +A: 68% +B: 70% +C: 72% +D: 74% + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0499/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0499/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..85b76db6b0fb7cc40009f0846bf63887744b7502 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0499/prompt.txt @@ -0,0 +1,8 @@ +The graph in figure was measured in a photoelectric-effect experiment. What experimental value of Planck’s constant is obtained from these data? + +A: \( 6.8 \times 10^{-34} \text{ Js} \) +B: \( 3.2 \times 10^{-34} \text{ Js} \) +C: \( 6.4 \times 10^{-34} \text{ Js} \) +D: \( 7.4 \times 10^{-34} \text{ Js} \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0509/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0509/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..50b598cc78dd1c512e389b7ef67ddc3d93eb049d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0509/prompt.txt @@ -0,0 +1,8 @@ +A spaceship flies past earth. A crew member on board the spaceship measures its length, obtaining the value as shown in figure. What length do observers measure on earth? + +A: \( 35.1 \text{ m} \) +B: \( 27.7 \text{ m} \) +C: \( 32.1 \text{ m} \) +D: \( 56.4 \text{ m} \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0523/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0523/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..7c52995f292fe87a0b085a62df939c6946ad3c3a --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0523/prompt.txt @@ -0,0 +1,8 @@ +The truck in figure is moving at a speed of \(10.0 \, \text{m/s}\) relative to the ground. The person on the truck throws a baseball in the backward direction at a speed of \(20.0 \, \text{m/s}\) relative to the truck. What is the velocity of the baseball as measured by the observer on the ground? + +A: \(30.0 \ +B: \(20.0 \ +C: \(-30.0 \ +D: \(-10.0 \ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0548/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0548/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..cbeeb3704877f17145fce60365a232a7511f3e84 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0548/prompt.txt @@ -0,0 +1,8 @@ +A photon of frequency \(\nu\) undergoes elastic scattering from a stationary free electron, as shown in the figure. The energy of the photon is \(h\nu\). Considering the photon-electron system, use momentum conservation, energy conservation, and the relativistic energy-momentum relation to derive the relationship between \(\nu'\) and \(\nu\). + +A: \[\frac{\nu}{1 + \frac{h\nu}{m_0 c^2} (1 + \sin \theta)} \] +B: \[\frac{\nu}{1 + \frac{h\nu}{m_0 c^2} (1 - \sin \theta)} \] +C: \[ \frac{\nu}{1 + \frac{h\nu}{m_0 c^2} (1 + \cos \theta)} \] +D: \[ \frac{\nu}{1 + \frac{h\nu}{m_0 c^2} (1 - \cos \theta)} \] + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0553/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0553/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..e82af56e3a66f35c4d37b3cec33a248a87b2ca4b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0553/prompt.txt @@ -0,0 +1,8 @@ +A spaceship moving away from the Earth fires a missile parallel to its direction of motion as shown in figure. What is the speed of the missile as measured by an observer on the Earth? + +A: \( 0.60c \) +B: \( 0.80c \) +C: \( 0.25c \) +D: \( 0.95c \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0562/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0562/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..d974e2bd5d47c8a3d2e99a98d808bc7f95b684dc --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0562/prompt.txt @@ -0,0 +1,8 @@ +A small shot of negligible radius hits a stationary smooth, hard sphere of radius \( R \), making an angle \( \beta \) with the normal to the sphere, as shown in figure. It is reflected at an equal angle to the normal. The scattering angle is \( \theta = 180^{\circ} - 2\beta \), as shown. If the incoming intensity of the shot is \( I_0 \) particles/s \( \cdot \) area, how many are scattered through angles greater than \( \theta \)? + +A: \( I_0 R^2 \sin^2 \frac{\theta}{2} \) +B: \( I_0 R^2 \tan^2 \frac{\theta}{2} \) +C: \( I_0 R^2 \cot^2 \frac{\theta}{2} \) +D: \( I_0 R^2 \cos^2 \frac{\theta}{2} \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0565/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0565/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..c6c98b5819fa16ce152ca916e5ba487264ce3063 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0565/prompt.txt @@ -0,0 +1,8 @@ +A rocket moves with a speed of 0.60c and forms an angle of $45^{\circ}$ with respect to the x-axis, as determined by an observer O. What is the velocity of the rocket as determined by a second observer O′ moving with a speed of 0.80c along the common x–x′-axis with respect to the observer O? + +A: 0.55c +B: 0.69c +C: 0.95c +D: 10.2c + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0570/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0570/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..c321da6966e14b9d7b5f69defce3cc35d3d6e81e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0570/prompt.txt @@ -0,0 +1,8 @@ +Consider a particle of kinetic energy $K$ and a potential barrier steps from 0 to $V_0$ at $x = 0$. Calculate the penetration distance for a 5-eV electron approaching a step barrier of 10 eV. + +A: 0.55nm +B: 0.95nm +C: 0.044nm +D: 10.2nm + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0577/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0577/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..4e8a64ae2a28302b7f6f578ca140bab227a4070b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0577/prompt.txt @@ -0,0 +1,8 @@ +Comet stimulated emission. When a comet approaches the Sun, the increased warmth evaporates water from the ice on the surface of the comet nucleus, producing a thin atmosphere of water vapor around the nucleus. Sunlight can then dissociate H\_2O molecules in the vapor to H atoms and OH molecules. The sunlight can also excite the OH molecules to higher energy levels. When the comet is still relatively far from the Sun, the sunlight causes equal excitation to the upper levels. Hence, there is no population inversion between the two levels. However, as the comet approaches the Sun, the excitation to the lower excited level decreases and population inversion occurs. The reason has to do with Fraunhofer lines. As a comet approaches the Sun, the Doppler effect due to the comet's speed relative to the Sun shifts the Fraunhofer lines in wavelength, overlapping one of them with the wavelength required for excitation to the lower excited level in OH molecules. Population inversion occurs in those molecules, and they radiate stimulated emission at about 1666\ \text{MHz}. What was the energy difference \( E\_2 - E\_1 \) for that emission? + +A: 12.80μeV +B: 1.67μeV +C: 6.87μeV +D: 3.43μeV + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0579/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0579/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..60a86a55f89ce9b133342812f0d6c44d1d0c12c6 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0579/prompt.txt @@ -0,0 +1,8 @@ +Where sunlight shines on the atmosphere of Mars, carbon dioxide molecules at an altitude of about $75 \, \text{km}$ undergo natural laser action. The energy levels involved in the action are shown figure; population inversion occurs between energy levels $E_2$ and $E_1$. At what wave-length does lasing occur? + +A: 4.29μm +B: 5.91μm +C: 10.0μm +D: 8.60μm + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0583/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0583/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6c15b3ef3ef191bd4d7471d34cde064515397322 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0583/prompt.txt @@ -0,0 +1,8 @@ +The two-dimensional, infinite corral of figure is square, with edge length $L = 150 \, \text{pm}$. A square probe is centered at $xy$ coordinates $(0.200L, 0.800L)$ and has an $x$ width of $5.00 \, \text{pm}$ and a $y$ width of $5.00 \, \text{pm}$. What is the probability of detection if the electron is in the $E_{1,3}$ energy state? + +A: 1.4 \times 10^{-2} \ +B: 2.8 \times 10^{-3} \ +C: 1.4 \times 10^{-3} \ +D: 7.0 \times 10^{-4} + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0584/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0584/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..02cde8c7b109a18ed64a4ed4a2a4ef6be9eab03e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0584/prompt.txt @@ -0,0 +1,8 @@ +We probe for the electron along a line that bisects \( L_x \) and find three points at which the detection probability is maximum. Those points are separated by \( 2.00\text{nm} \). Then we probe along a line that bisects \( L_y \) and find five points at which the detection probability is maximum. Those points are separated by \( 3.00\text{nm} \). What is the energy of the electron? + +A: \frac{n^2 h^2}{2 \pi^2 m d^2} +B: \frac{n^2 h^2}{4 \pi^2 m d^2} +C: \frac{n^2 h^2}{8 \pi^2 m d^2} +D: \frac{n h^2}{4 \pi^2 m d^2} + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0591/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0591/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6a0bc5e052f9709be451887c4e24688b788269b7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0591/prompt.txt @@ -0,0 +1,8 @@ +One cosmic-ray particle approaches Earth along Earth's north-south axis with a speed toward the geographic north pole, and another approaches with a speed toward the geographic south pole. What is the relative speed of approach of one particle with respect to the other? + +A: 0.35c +B: 0.60c +C: 0.95c +D: 0.65c + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0596/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0596/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..701b124f787e87788b01569da0839b7e346916dd --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0596/prompt.txt @@ -0,0 +1,8 @@ +Figure is a graph of intensity versus wavelength for light reaching Earth from galaxy NGC 7319, which is about \( 3 \times 10^8 \) light-years away. The most intense light is emitted by the oxygen in NGC 7319. In a laboratory that emission is at wavelength \( \lambda = 513\,\text{nm} \), but in the light from NGC 7319 it has been shifted due to the Doppler effect. What is the radial speed of NGC 7319 relative to Earth? + +A: 3.00 \times 10^5\ +B: 7.00 \times 10^7\ +C: 7.00 \times 10^6\ +D: 2.00 \times 10^6\ + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0598/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0598/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..a641fccf4ad3b09d9af472adfc11d3b8b3745396 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0598/prompt.txt @@ -0,0 +1,8 @@ +Figure gives their temporal separation \( \Delta t \) according to the \( S \) observer as a function of \( \Delta x' \) for a range of \( \Delta x' \) values. The vertical axis scale is set by \( \Delta t_a = 6.00\,\mu\text{s} \). What is \( \Delta t' \)? + +A: 2.00 \times 10^{-6} \ +B: 1.3 \times 10^{-6} \ +C: 6.3 \times 10^{-7} \ +D: 3.16 \times 10^{-6} \ + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0603/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0603/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..3133375accc96391d14b08fbdecda88829e78fe7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0603/prompt.txt @@ -0,0 +1,8 @@ +In a monovalent metal, one electron per atom is free to roam throughout the object. Evidently the energy of the composite structure must be less than the energy of the isolated atoms. This problem offers a crude but illuminating explanation for the cohesiveness of metals. When these atoms come together to form a metal, we get $N$ electrons in a much larger infinite square well of width $Na$. Because of the Pauli exclusion principle (which we will discuss in Chapter 5) there can only be one electron (two, if you include spin, but let's ignore that) in each allowed state. What is the lowest energy for this system? + +A: \frac{N \pi^2 \hbar^2}{2m_e (Na)^2} +B: \frac{\pi^2 \hbar^2}{2m_e a^2} \cdot \frac{N^2}{6} +C: \frac{\pi^2 \hbar^2}{2m_e a^2} \cdot \frac{(N + 1)(2N + 1)}{6N} +D: \frac{N \pi^2 \hbar^2}{2m_e a^2} + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0604/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0604/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..8cea1f1818c13c45c46be46e8b32f5774ce27ece --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0604/prompt.txt @@ -0,0 +1,8 @@ +The Boltzmann equation $$P(n) = \frac{1}{Z} e^{-eta E_n}, \quad Z = \sum_n e^{-eta E_n}, \quad eta = \frac{1}{k_B T},$$ gives the probability of finding a system in the state $n$ (with energy $E_n$), at temperature $T$ ($k_B$ is Boltzmann's constant). Note: The probability here refers to the random thermal distribution, and has nothing to do with quantum indeterminacy. Quantum mechanics will only enter this problem through quantization of the energies $E_n$. A crystal consisting of $N$ atoms can be thought of as a collection of $3N$ oscillators (each atom is attached by springs to its 6 nearest neighbors, along the $x, y$, and $z$ directions, but those springs are shared by the atoms at the two ends). The heat capacity of the crystal (per atom) will therefore be $$C = 3 \frac{dar{E}}{dT}.$$ Show that (in this model) $$C = 3k_B \left( \frac{\Theta_E}{T} ight)^2 \frac{e^{\Theta_E/T}}{(e^{\Theta_E/T} - 1)^2},$$ where $\Theta_E \equiv \hbar \omega / k_B$ is the so-called Einstein temperature. The same reasoning using the classical expression for $ar{E}$ yields $C_{\text{classical}} = 3k_B$, independent of temperature. + +A: 3k_B \cdot \frac{e^{\Theta_E/T}}{(e^{\Theta_E/T} - 1)} +B: 3k_B \cdot \left( \frac{\Theta_E}{T} ight)^2 \cdot \frac{1}{e^{\Theta_E/T} - 1} +C: 3k_B \left( \frac{\Theta_E}{T} ight)^2 \frac{e^{\Theta_E/T}}{(e^{\Theta_E/T} - 1)^2} +D: 3k_B + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0610/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0610/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..4ae4c3db2c801a71ec289a4ae8f9316400fb9166 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0610/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "610", + "question": "A fluorescent tube with length $L$ is fixed horizontally above a ticket window in a train station. At time $t = 0$ the tube lights up, changing color from white to bright yellow. After a duration $T$ the tube turns off, reverting to its white color. Events 1 and 2 correspond, respectively, to the right and left ends of the tube at time $t = 0$, while events 3 and 4 correspond to the right and left ends of the tube at time $t = T$. The totality of events corresponding to positions on the tube when it is lit correspond to the yellow region on the diagram. The tube is observed from the window of a rocket train passing the station from left to right at speed $v$. The frame $S'$ is fixed with respect to the train such that the $x'$-axis coincides with the $x$-axis of frame $S'$, and such that event 1 occurs at the origin $(x', t') = (0, 0)$. What is the area of the yellow region in the $S$ frame plot?", + "choices": { + "A": "cLT", + "B": "c/LT", + "C": "2cLT", + "D": "cL/T" + }, + "answer": "A", + "original_image_filename": "phyx_610.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0611/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0611/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..ff0c655857565399b0ace7c28e012d5f0d927f34 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0611/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "611", + "question": "Many of the stars in the sky are actually binary stars, in which two stars orbit about their common center of mass. If the orbital speeds of the stars are high enough, the motion of the stars can be detected by the Doppler shifts of the light they emit. Stars for which this is the case are called spectroscopic binary stars.The plane of the stars'orbits is edge-on to the line of sight of an observer on the earth.The light from each star in the binary system varies from its maximum frequency to its minimum frequency and back again in 11.0 days. Determine the orbital radius the mass $m$ of each star.", + "choices": { + "A": "$5.55 \\times 10^{29}$ kg", + "B": "$5.53 \\times 10^{28}$ kg", + "C": "$5.45 \\times 10^{29}$ kg", + "D": "$5.33 \\times 10^{28}$ kg" + }, + "answer": "A", + "original_image_filename": "phyx_611.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0616/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0616/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..2d40448768db15c222fa675b6554935421f82407 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0616/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "616", + "question": "$L = 1$ nm.If the left side is at a potential $V$ relative to the right side, then we can estimate the tunneling current as follows: The wires have diameter $d = 1$ mm, and copper has $n = 8.5 \\times 10^{28}$ free electrons per m$^3$.Assume that the oxide gap provides a rectangular potential barrier of height 12 eV and that the energy of the free electrons incident on this barrier is 5.0 eV. Assume the gap has length \\( L = 1 \\, \\text{nm} \\). What is the probability \\( T \\) that an electron will tunnel through the barrier?", + "choices": { + "A": "5eV", + "B": "6eV", + "C": "7eV", + "D": "8eV" + }, + "answer": "A", + "original_image_filename": "phyx_616.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0617/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0617/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..4cacfcff4030fdcf3446588ec9555413fb28ac93 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0617/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "617", + "question": "Consider a particle with mass $m$ and kinetic energy $E < U_0$ that is trapped in the well.The wave function must remain finite as $x \\to \\infty$.And it satisfy both the Schrödinger equation and this boundary condition at infinity. What must the form of the function $\\psi(x)$ for $x > L$ be?", + "choices": { + "A": "$Ce^{\\kappa x} + De^{-\\kappa x}$", + "B": "$Ae^{\\kappa x} + Be^{-\\kappa x}$", + "C": "$Fe^{\\kappa x} + Ge^{-\\kappa x}$", + "D": "$Xe^{\\kappa x} + Ye^{-\\kappa x}$" + }, + "answer": "A", + "original_image_filename": "phyx_617.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0618/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0618/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..3402399d299428321b0475f8a892455ae70b728b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0618/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "618", + "question": "\\({}^{232}_{92}\\mathrm{U}\\) (mass \\(=232.037156\\,\\mathrm{u}\\)) decays to \\({}^{228}_{90}\\mathrm{Th}\\) (\\(228.028741\\,\\mathrm{u}\\)) with the emission of an \\(\\alpha\\) particle. Calculate the disintegration energy.", + "choices": { + "A": "5.0MeV", + "B": "5.2MeV", + "C": "5.4MeV", + "D": "4.8MeV" + }, + "answer": "C", + "original_image_filename": "phyx_618.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0619/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0619/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..e6e125061d5fef1ee2ddb8d3cecf7a51bb1b6161 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0619/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "619", + "question": "A\\(70\\,\\mathrm{kg}\\) laboratory worker exposed to a \\(40\\,\\mathrm{mCi}\\) \\({}^{60}_{27}\\mathrm{Co}\\) source, assuming the person's body has cross-sectional area \\(1.5\\,\\mathrm{m^2}\\) and is normally from the source for \\(4.0\\,\\mathrm{h}\\) per day. \\({}^{60}_{27}\\mathrm{Co}\\) emits \\(\\gamma\\) rays of energy \\(1.33\\,\\mathrm{MeV}\\) and \\(1.17\\,\\mathrm{MeV}\\) in quick succession. Approximately \\(50\\%\\) of the \\(\\gamma\\) rays interact in the body and deposit all their energy. What whole-body dose is received?", + "choices": { + "A": "0.42mSv", + "B": "0.48mSv", + "C": "0.45mSv", + "D": "0.51mSv" + }, + "answer": "C", + "original_image_filename": "phyx_619.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0620/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0620/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..52d35a7a4ac38cbaff2e6e3e80520bbc3d69eefc --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0620/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "620", + "question": "\\(E\\) and \\(L\\) for \\(n=3\\). Determine the energy.", + "choices": { + "A": "-1.50eV", + "B": "-1.52eV", + "C": "-1.54eV", + "D": "-1.56eV" + }, + "answer": "C", + "original_image_filename": "phyx_620.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0621/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0621/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..6d8f0df8e9689f8f78ea6b193087bb375731835b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0621/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "621", + "question": "The rocket 2 is moving with respect to Earth. Calculate the speed of rocket 2.", + "choices": { + "A": "0.66c", + "B": "0.77c", + "C": "0.88c", + "D": "0.99c" + }, + "answer": "C", + "original_image_filename": "phyx_621.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0626/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0626/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..49ff9c28921728277aac8dafc6570f60661ec5bd --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0626/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "626", + "question": "A strip of silicon \\(1.6\\,\\mathrm{cm}\\) wide and \\(1.0\\,\\mathrm{mm}\\) thick is immersed in a magnetic field of strength \\(1.5\\,\\mathrm{T}\\) perpendicular to the strip.When a current of \\(0.28\\,\\mathrm{mA}\\) is run through the strip,there is a resulting Hall effect voltage of \\(18\\,\\mathrm{mV}\\) across the strip.The density of silicon is \\(2330\\,\\mathrm{kg/m^3}\\). How many electrons per silicon atom are in the conduction band?", + "choices": { + "A": "$3.9\\times10^{-9}\\", + "B": "$2.9\\times10^{-8}\\", + "C": "$2.0\\times10^{-9}\\", + "D": "$2.9\\times10^{-9}\\" + }, + "answer": "D", + "original_image_filename": "phyx_626.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0627/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0627/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..4929181e5d81ec6f13a386f088a06646b009cbb2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0627/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "627", + "question": "The magnetic moment $\\vec{\\mu}$ of a spinning object with charge $Q$ and mass $M$ is proportional to its angular momentum $\\vec{L}$ according to $\\vec{\\mu} = g(Q/2M)\\vec{L}$. The dimensionless coefficient $g$ is known as the $g$-factor of the object. Consider a spherical shell uniform charge density $\\sigma$. If the charge is uniformly distributed so that $\\rho = Q/(\\frac{4}{3}\\pi R^3)$ and if the mass is uniformly distributed so that $c = \\frac{2}{5}$, then what is the value of $g$?", + "choices": { + "A": "1", + "B": "0", + "C": "3", + "D": "2" + }, + "answer": "A", + "original_image_filename": "phyx_627.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0628/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0628/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..ca8f5b4f1b42b24c4e63639cd92bd36cb4cbc0b2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0628/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "628", + "question": "Our galaxy contains numerous molecular clouds, regions many light-years in extent in which the density is high enough and the temperature low enough for atoms to form into molecules. Most of the molecules are $H_2$, but a small fraction of the molecules are carbon monoxide ($CO$). Such a molecular cloud in the constellation Orion is shown in figure. The upper image was made with an ordinary visible-light telescope; the lower image shows the molecular cloud in Orion as imaged with a radio telescope tuned to a wavelength emitted by $CO$ in a rotational transition. The different colors in the radio image indicate regions of the cloud that are moving either toward us (blue) or away from us (red) relative to the motion of the cloud as a whole, as determined by the Doppler shift of the radiation. $I_{CO} = 1.449 \\times 10^{-46}\\ kg \\cdot m^2$, calculate the wavelength of the photon emitted by a $CO$ molecule in an $l=1 \\to l=0$ rotational transition.", + "choices": { + "A": "2.59mm", + "B": "2.37mm", + "C": "1.99mm", + "D": "3.12mm" + }, + "answer": "A", + "original_image_filename": "phyx_628.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0629/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0629/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..d07c6cc9ef3be66528684ce548ea7fcbffa7353f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0629/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "629", + "question": "The circuit shown in figure, which is called a half-wave rectifier. The triangular symbol with the flat lower edge represents a diode, such that a forward bias drives the current downward. Use a typical value for the saturation current: $I_S = 5 \\times 10^{-13}\\ A$. Use a temperature of $300\\ K$. What is the current $I$ in that case?", + "choices": { + "A": "0.006A", + "B": "0.007A", + "C": "0.06A", + "D": "0.005A" + }, + "answer": "A", + "original_image_filename": "phyx_629.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0633/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0633/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..5c11904c6f0dec6b74198619bc92d128d453a886 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0633/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "633", + "question": "Peggy is standing in a long, flat railroad car that has firecrackers tied to both ends. The car moves past Ryan, with velocity $v = 0.8c$. Flashes from the exploding firecrackers reach him simultaneously $1.0\\;\\mu s$ after the instant that Peggy passes him, and he later finds burn marks on the track $300\\;m$ to either side of where he had been standing. According to Peggy, what times do the explosions occur relative to the time that Ryan passes her?", + "choices": { + "A": "$-1.13\\;\\mu s$", + "B": "$-1.33\\;\\mu s$", + "C": "$-1.53\\;\\mu s$", + "D": "$-1.73\\;\\mu s$" + }, + "answer": "B", + "original_image_filename": "phyx_633.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0634/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0634/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..3b06b1e2b4fd2e23c13182e7157aa4a7f85923f7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0634/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "634", + "question": "An electron is fired between two electrodes that are $5.0\\;mm$ apart. A potential difference $\\Delta V$ between the electrodes establishes an electric field between them. A $3.0\\;cm$-wide, $1.0\\;mT$ magnetic field overlaps the electrodes and is perpendicular to the electric field. When $\\Delta V = 0\\;V$, the electron is deflected by $2.0\\;mm$ as it passes between the plates. What value of $\\Delta V$ will allow the electron to pass through the plates without deflection?", + "choices": { + "A": "150 V", + "B": "200 V", + "C": "250 V", + "D": "300 V" + }, + "answer": "B", + "original_image_filename": "phyx_634.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0642/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0642/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..4be486c0a936b99879cce2a279753d16002a2175 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0642/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "642", + "question": "As shown in figure. How many photoelectrons are ejected per second in the experiment represented by the graph of figure?", + "choices": { + "A": "$6.2 \\times 10^{13}$", + "B": "$6.25 \\times 10^{13}$", + "C": "$6.3 \\times 10^{13}$", + "D": "$6.35 \\times 10^{13}$" + }, + "answer": "B", + "original_image_filename": "phyx_642.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0644/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0644/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..c05c582b021b4a6af25da32fdfa085f950698388 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0644/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "644", + "question": "The energy levels of the fictitious element $X$ are shown in figure. What is the ionization energy of element $X$?", + "choices": { + "A": "-6.5 eV", + "B": "6.5 eV", + "C": "-3 eV", + "D": "3 eV" + }, + "answer": "B", + "original_image_filename": "phyx_644.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0645/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0645/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0672ebf5dd956156fbe7256ab178c0a7aa604b5b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0645/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "645", + "question": "Figure shows the probability density for an electron that has passed through an experimental apparatus. If $1.0 \\times 10^6$ electrons are used, what is the expected number that will land in a $0.010$-$mm$-wide strip at $2.000$ $mm$?", + "choices": { + "A": "$0.8 \\times 10^3$", + "B": "$1.1 \\times 10^3$", + "C": "$1.4 \\times 10^3$", + "D": "$1.7 \\times 10^3$" + }, + "answer": "B", + "original_image_filename": "phyx_645.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0648/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0648/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..291671ee020d5b514c3d6ab6d204744dc75ca89a --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0648/prompt.txt @@ -0,0 +1,8 @@ +Figure shows the wave function of a neutron. What is the probability that the neutron is located between $x = -1.0$ $mm$ and $x = 1.0$ $mm$? + +A: 0.75 +B: 0.45 +C: 0.25 +D: 0.1 + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0658/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0658/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ad2865cfe12dbd01f6b998abc589f0d3dda272c8 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0658/prompt.txt @@ -0,0 +1,8 @@ +In most metals, the atomic ions form a regular arrangement called a crystal lattice. The conduction electrons in the sea of electrons move through this lattice. Figure is a one-dimensional model of a crystal lattice. The ions have mass $m$, charge $e$. Suppose this crystal consists of aluminum ions with an equilibrium spacing of $0.30$ $nm$. What are the energies of the four lowest vibrational states of these ions? + +A: 0.0428 eV +B: 0.0531 eV +C: 0.0634 eV +D: 0.0832 eV + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0660/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0660/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..812c18de45c8fcb2f39898f2c84919bb3f2db6f1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0660/prompt.txt @@ -0,0 +1,8 @@ +Alpha decay occurs when an alpha particle tunnels through the Coulomb barrier. Figure shows a simple one-dimensional model of the potential-energy well of an alpha particle in a nucleus with $A \approx 235$. The $15$ $fm$ width of this one-dimensional potential-energy well is the diameter of the nucleus. Further, to keep the model simple, the Coulomb barrier has been modeled as a $20$-$fm$-wide, $30$-$MeV$-high rectangular potential-energy barrier. What is the tunneling probability? + +A: $6.2 \times 10^{-39}$ +B: $6.4 \times 10^{-39}$ +C: $6.6 \times 10^{-39}$ +D: $6.8 \times 10^{-39}$ + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0667/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0667/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..fe1a9975283b433da579d1bade11ae219789b233 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0667/prompt.txt @@ -0,0 +1,8 @@ +A highway curve forms a section of a circle. A car goes around the curve as shown in the helicopter view of figure. Its dashboard compass shows that the car is initially heading due east. After it travels \( d = 840 \text{ m} \), it is heading \( \theta = 35.0^\circ \) south of east. Find the radius of curvature of its path. + +A: \[ 2.15 \times 10^{3} \text{ m} \] +B: \[ 0.69 \times 10^{3} \text{ m} \] +C: \[ 1.38 \times 10^{3} \text{ m} \] +D: \[ 1.09 \times 10^{3} \text{ m} \] + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0673/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0673/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..c47eb969e4fd55670f8c72a7d83787e7fa42de27 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0673/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "673", + "question": "Two objects, A and B, are connected by hinges to a rigid rod. The objects slide along perpendicular guide rails as shown in figure. Assume object A slides to the left with a constant speed. Find the velocity \\( v_\\text{B} \\) of object B as a function of the angle \\( \\theta \\).", + "choices": { + "A": "\\left(\\frac{1}{\\sin \\theta}\\right) v", + "B": "\\left(\\frac{1}{\\cot \\theta}\\right) v", + "C": "\\left(\\frac{1}{\\tan \\theta}\\right) v", + "D": "\\left(\\frac{1}{\\sin\\theta}\\right) v" + }, + "answer": "C", + "original_image_filename": "phyx_673.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0674/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0674/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..e5fbf10298ef7dc851ff31229f2b57788b86360c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0674/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "674", + "question": "A blue car of length \\( 4.52 \\text{ m} \\) is moving north on a roadway that intersects another perpendicular roadway as shown in figure. The blue car has a constant acceleration of magnitude \\( 2.10 \\text{ m/s}^2 \\) directed south. The time interval required for the nose of the blue car to move from the near (south) edge of the intersection to the north edge of the intersection is \\( 3.10 \\text{ s} \\). How far is the nose of the blue car from the south edge of the intersection when it stops?", + "choices": { + "A": "18.3m", + "B": "34.5m", + "C": "35.9m", + "D": "27.6m" + }, + "answer": "C", + "original_image_filename": "phyx_674.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0677/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0677/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..1e8d2aed80e7f7d571a78ea0dd4689fc6b1c02f4 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0677/prompt.txt @@ -0,0 +1,8 @@ +A force \( \vec{F}_1 \) of magnitude 6.00 units acts on an object at the origin in a direction \( \theta = 30.0^\circ \) above the positive \( x \) axis as shown in figure. A second force \( \vec{F}_2 \) of magnitude 5.00 units acts on the object. Find the magnitude the resultant force \( \vec{F}_1 + \vec{F}_2 \). + +A: \( 6.0 \text{ N} \) +B: \( 8.0 \text{ N} \) +C: \( 9.5 \text{ N} \) +D: \( 2.5 \text{ N} \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0680/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0680/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..52ea98102a0352fc10e6d654509c0d386d405346 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0680/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "680", + "question": "The biggest stuffed animal in the world is a snake \\( 420 \\text{ m} \\) long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown in figure, forming two straight sides of a \\( 105^\\circ \\) angle, with one side \\( 240 \\text{ m} \\) long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake to its head, and Olaf starts from the same place at the same moment but runs along the snake. If Inge runs the race again at a constant speed of \\( 12.0 \\text{ km/h} \\), at what constant speed must Olaf run to reach the end of the snake at the same time as Inge", + "choices": { + "A": "\\( 16.0 \\text{ km/h} \\)", + "B": "\\( 24.0 \\text{ km/h} \\)", + "C": "\\( 15.0 \\text{ km/h} \\)", + "D": "\\( 18.0 \\text{ km/h} \\)" + }, + "answer": "C", + "original_image_filename": "phyx_680.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0683/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0683/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..40450cd89de6bddc3e147bdb67010c8c4bd8d4da --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0683/prompt.txt @@ -0,0 +1,8 @@ +A firefighter, a distance from a burning building, directs a stream of water from a fire hose as shown in figure. If the initial speed of the stream is \( v_i \), at what height \( h \) does the water strike the building? + +A: \( d \tan \theta_i - \frac{gd^2}{2v_i^2 \cot^2 \theta_i} \) +B: \( d \tan \theta_i - \frac{gd^2}{2v_i^2 \tan^2 \theta_i} \) +C: \( d \tan \theta_i - \frac{gd^2}{2v_i^2 \cos^2 \theta_i} \) +D: \( d \tan \theta_i - \frac{gd^2}{2v_i^2 \sin^2 \theta_i} \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0684/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0684/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..d7f118fee4ec69bce88356ce0c251c7fbeccf8ce --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0684/prompt.txt @@ -0,0 +1,8 @@ +A landscape architect is planning an artificial waterfall in a city park. Water flowing at \( 1.70 \text{ m/s} \) will leave the end of a horizontal channel at the top of a vertical wall \( h = 2.35 \text{ m} \) high, and from there it will fall into a pool as shown in figure. To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? + +A: \( 0.325 \text{ m/s} \) +B: \( 0.120 \text{ m/s} \) +C: \( 0.491 \text{ m/s} \) +D: \( 0.212 \text{ m/s} \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0687/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0687/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..945b9ea911e153a31ffedf96f8e999d114420bc4 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0687/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "687", + "question": "The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube \\( 58.0 \\text{ ft} \\) long and is represented in figure. Assume an astronaut in training sits in a seat at one end. Determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of \\( 20.0g \\).", + "choices": { + "A": "\\( 64.3 \\text{ rev/min} \\)", + "B": "\\( 22.5 \\text{ rev/min} \\)", + "C": "\\( 45.0 \\text{ rev/min} \\)", + "D": "\\( 36.0 \\text{ rev/min} \\)" + }, + "answer": "C", + "original_image_filename": "phyx_687.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0689/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0689/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..bf3adcf00126b48cffa2c8f39082455023fcfda5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0689/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "689", + "question": "A basketball player is standing on the floor as in figure. He shoots the ball at a angle with the horizontal from a height. At what speed must the player throw the basketball so that the ball goes through the hoop without striking the backboard?", + "choices": { + "A": "\\( 6.6 \\text{ m/s} \\)", + "B": "\\( 8.2 \\text{ m/s} \\)", + "C": "\\( 10.7 \\text{ m/s} \\)", + "D": "\\( 2.8 \\text{ m/s} \\)" + }, + "answer": "C", + "original_image_filename": "phyx_689.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0693/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0693/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..26c9e78cdb5e8759e642499b3da0ea25c12b90c2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0693/prompt.txt @@ -0,0 +1,8 @@ +An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher as shown in figure, but that the ball's speed after the bounce is one-half of what it was before the bounce. Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw. + +A: 0.870 +B: 0.647 +C: 0.949 +D: 0.511 + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0711/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0711/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..aa0a8ca42e325b4525e4f0995ebeb5da4c12319f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0711/prompt.txt @@ -0,0 +1,8 @@ +Two equal masses are at the ends of a massless rod. The rod spins about an axis through its midpoint. Suddenly, a compressed gas expands the rod out. What is the rotation frequency after the expansion? + +A: 0.80rev/s +B: 0.50rev/s +C: 0.20rev/s +D: 1.10rev/s + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0742/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0742/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..8d4cdc7fcdb76ff71f34a40a808631eeaa2ba2e1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0742/prompt.txt @@ -0,0 +1,8 @@ +Upon spotting an insect on a twig overhanging water, an archer fish squirts water drops at the insect to knock it into the water. Although the fish sees the insect along a straight-line path, a drop must be launched at a different angle $\theta_0$ if its parabolic path is to intersect the insect. If $\phi = 36.0^\circ$ and $d = 0.900\ m$, what launch angle $\theta_0$ is required for the drop to be at the top of the parabolic path when it reaches the insect? + +A: $38.8^\circ$ +B: $46.2^\circ$ +C: $55.5^\circ$ +D: $61.2^\circ$ + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0745/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0745/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..9f3215d19e073912e44b4e8beefc07c4a8b357d2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0745/prompt.txt @@ -0,0 +1,8 @@ +In figure, a ball is thrown up onto a roof, landing $4.00\ s$ later at height $h = 20.0\ m$. The ball's path just before landing is angled at $\theta = 60.0^\circ$ with the roof. What is the magnitude of the ball's initial velocity? + +A: 20.0 m/s +B: 23.0 m/s +C: 26.0 m/s +D: 29.0 m/s + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0750/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0750/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..87a730a660adb491ecfd29a6c82296cfd8f30a69 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0750/prompt.txt @@ -0,0 +1,8 @@ +A radar station detects an airplane approaching. At first observation, the airplane is at distance $d_1 = 360\ m$ from the station and at angle $\theta_1 = 40^\circ$ above the horizon. The airplane is tracked through an angular change $\Delta\theta = 123^\circ$ in the vertical east$-$west plane; its distance is then $d_2 = 790\ m$. Find the magnitude of the airplane's displacement during this period. + +A: 936 m +B: 965 m +C: 1031 m +D: 1261 m + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0757/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0757/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..4728adf59d25c93c6a353e4913475978f11330d0 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0757/prompt.txt @@ -0,0 +1,8 @@ +Figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude $98\ N$ on the wall to which it is attached. The tensions in the three shorter cords are $T_1 = 58.8\ N$, $T_2 = 49.0\ N$, and $T_3 = 9.8\ N$. What is the mass of disk $C$? + +A: 1.0 kg +B: 2.0 kg +C: 4.0 kg +D: 5.0 kg + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0768/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0768/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..2cea079cc4c501d5f6fdf619061bdc4726ae9431 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0768/prompt.txt @@ -0,0 +1,8 @@ +In a shipping company distribution center, an open cart of mass 50.0 kg is rolling to the left at a speed of 5.00 m/s as shown in figure. Ignore friction between the cart and the floor. A 15.0 kg package slides down a chute and leaves the end of the chute with a speed of 3.00 m/s. The package lands in the cart and they roll together. What are the final speed of the cart? + +A: 2.15m/s +B: 3.29m/s +C: 4.08m/s +D: 4.14m/s + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0789/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0789/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..c4e7cba53f558e714075784e64fb02da61a50472 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0789/prompt.txt @@ -0,0 +1,8 @@ +A solid, uniform, spherical boulder starts from rest and rolls down a hill, as shown in as shown in figure. The top half of the hill is rough enough to cause the boulder to roll without slipping, but the lower half is covered with ice and there is no friction. What is the translational speed of the boulder when it reaches the bottom of the hill? Neglect rolling friction and assume the system’s total mechanical energy is conserved. + +A: 31.0m/s +B: 29.0m/s +C: 16.0m/s +D: 22.0m/s + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0810/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0810/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0f7d913c678a82337de11e4a4dd6ad135b2556f2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0810/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "810", + "question": "You throw a baseball straight up Find how high it goes, ignoring air resistance.", + "choices": { + "A": "23.1m", + "B": "20.4m", + "C": "27.2m", + "D": "16.5m" + }, + "answer": "B", + "original_image_filename": "phyx_810.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0817/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0817/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..2b19041e84787da9ba58c1b94f05514a27042ed5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0817/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "817", + "question": "James and Ramon are apart on a frozen pond. Midway between them is a mug of their favorite beverage as shown in figure. They pull on the ends of a light rope stretched between them. When James has moved 6.0 m toward the mug, how far has Ramon moved?", + "choices": { + "A": "6.0m", + "B": "9.0m", + "C": "4.0m", + "D": "3.0m" + }, + "answer": "B", + "original_image_filename": "phyx_817.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0819/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0819/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..9a37ebf0fadb25cd189aee953b452adfb81764a1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0819/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "819", + "question": "A machine part as shown in figure consists of three small disks linked by lightweight struts. What is the body's kinetic energy if it rotates about axis 1 with angular speed \\( \\omega = 4.0 \\text{ rad/s} \\)?", + "choices": { + "A": "\\( 0.66 \\text{ J} \\)", + "B": "\\( 0.46 \\text{ J} \\)", + "C": "\\( 1.32 \\text{ J} \\)", + "D": "\\( 0.92 \\text{ J} \\)" + }, + "answer": "B", + "original_image_filename": "phyx_819.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0821/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0821/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..d35503f5d074323d70f4770c279192bddcd2049e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0821/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "821", + "question": "We wrap a light, nonstretching cable around a solid cylinder. The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a block and release the block from rest at a distance above the floor as shown in figure. As the block falls, the cable unwinds without stretching or slipping. Find the angular speed of the cylinder as the block strikes the floor.", + "choices": { + "A": "\\(2v/R\\)", + "B": "\\(v/R\\)", + "C": "\\(v/2R\\)", + "D": "\\(2v/3R\\)" + }, + "answer": "B", + "original_image_filename": "phyx_821.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0822/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0822/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..52be3a104db882d6011c4ca96a669bdba1f4bda5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0822/prompt.txt @@ -0,0 +1,8 @@ +Figure shows a hollow cylinder of uniform mass density \( \rho \). (It might be a steel cylinder in a printing press.) Find its moment of inertia about its axis of symmetry + +A: \(\frac{1}{3}M(R_1^2 + R_2^2) \) +B: \(\frac{1}{2}M(R_1^2 + R_2^2) \) +C: \(\frac{1}{4}M(R_1^2 + R_2^2) \) +D: \(\frac{1}{5}M(R_1^2 + R_2^2) \) + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0826/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0826/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..73bdf1fb482b5874da5416f0a37456e715d2fb2b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0826/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "826", + "question": "Figure shows two disks: an engine flywheel (A) and a clutch plate (B) attached to a transmission shaft. Initially, they are rotating in the same direction, respectively. We push the disks together with forces acting along the axis, so as not to apply any torque on either disk. The disks rub against each other and eventually reach a common angular speed \\( \\omega \\). Derive an expression for \\( \\omega \\).", + "choices": { + "A": "\\( \\omega = \\frac{I_A \\omega_A + I_B \\omega_B}{I_A - I_B} \\)", + "B": "\\( \\omega = \\frac{I_A \\omega_A + I_B \\omega_B}{I_A + I_B} \\)", + "C": "\\( \\omega = \\frac{I_A \\omega_B + I_B \\omega_A}{I_A + I_B} \\)", + "D": "\\( \\omega = \\frac{I_A \\omega_B + I_B \\omega_A}{I_A - I_B} \\)" + }, + "answer": "B", + "original_image_filename": "phyx_826.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0828/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0828/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..ba861cbaf1bcda50a80a10a309cf100f708acd5c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0828/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "828", + "question": "Cleveland is \\(300\\,\\mathrm{miles}\\) east of Chicago. A plane leaves Chicago flying due east at \\(500\\,\\mathrm{mph}\\). The pilot forgot to check the weather and doesn't know that the wind is blowing to the south at \\(50\\,\\mathrm{mph}\\). What is the plane's ground speed?", + "choices": { + "A": "510pmh", + "B": "502mph", + "C": "490pmh", + "D": "498pmh" + }, + "answer": "B", + "original_image_filename": "phyx_828.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0832/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0832/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..75db8fbf87bc7776715a6ca90223ef1244e2f084 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0832/prompt.txt @@ -0,0 +1,8 @@ +What is the magnitude of the strength of the electric field at the position indicated by the dot? + +A: 1.3 \times 10^{5}N/C +B: 5.3 \times 10^{5}N/C +C: 1.0 \times 10^{5}N/C +D: 1.1 \times 10^{5}N/C + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0835/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0835/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..cca2ceeb7a5d90fe031724d1c498cc5a13de97ac --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0835/prompt.txt @@ -0,0 +1,8 @@ +Figure shows a thin rod of length L with total charge Q. Evaluate \( E \) at \( r = 3.0\,\mathrm{cm} \) if \( L = 5.0\,\mathrm{cm} \) and \( Q = 3.0\,\mathrm{nC} \). + +A: 1.3 \times 10^{5}N/C +B: 5.3 \times 10^{4}N/C +C: 1.0 \times 10^{5}N/C +D: 9.8 \times 10^{4}N/C + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0842/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0842/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..e4d6d10cc6fa41529f0eb905928b4aeadb6e69a5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0842/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "842", + "question": "The cube contains negative charge. The electric field is constant over each face of the cube. What strength must this field exceed?", + "choices": { + "A": "4N/C", + "B": "15N/C", + "C": "5.6N/C", + "D": "5N/C" + }, + "answer": "D", + "original_image_filename": "phyx_842.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0843/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0843/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..69ee5d203a60ae670e01486189eac5320ed8ae1c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0843/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "843", + "question": "What is the electric flux through the surface?", + "choices": { + "A": "1.2N m^2/C", + "B": "10N m^2/C", + "C": "2N m^2/C", + "D": "1N m^2/C" + }, + "answer": "D", + "original_image_filename": "phyx_843.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0844/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0844/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..c547266672e2ae4a9087130ad7c89a031dd8eb84 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0844/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "844", + "question": "What is the electric flux through the surface?", + "choices": { + "A": "-1.2N m^2/C", + "B": "-10N m^2/C", + "C": "-2N m^2/C", + "D": "-2.3N m^2/C" + }, + "answer": "D", + "original_image_filename": "phyx_844.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0845/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0845/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..74bf40ff65f6852dc12586e6fe7d396fec9e3ed9 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0845/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "845", + "question": "The electric flux through the surface shown in figure is \\( 25\\,\\mathrm{N\\,m^2/C} \\). What is the electric field strength?", + "choices": { + "A": "1.3 \\times 10^{3}N/C", + "B": "5.3 \\times 10^{4}N/C", + "C": "1.0 \\times 10^{5}N/C", + "D": "1.4 \\times 10^{3}N/C" + }, + "answer": "D", + "original_image_filename": "phyx_845.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0851/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0851/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..3d3d204c0ee52c2ab92a2ee1df70d107644c7ebd --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0851/prompt.txt @@ -0,0 +1,8 @@ +Find the electric fluxe through surface 3. + +A: 80N m^2/C +B: 10N m^2/C +C: 20N m^2/C +D: 0N m^2/C + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0856/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0856/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..876cc4c1f14500eaa6dcb73e140bbf399ff6cfbd --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0856/prompt.txt @@ -0,0 +1,8 @@ +The figure shows the potential energy of an electric dipole. Consider a dipole that oscillates between \( \pm 60^\circ \). What is the dipole's kinetic energy when it is aligned with the electric field? + +A: 1.1\mu\mathrm{J} +B: 1.2\mu\mathrm{J} +C: 1.3\mu\mathrm{J} +D: 1.0\mu\mathrm{J} + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0857/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0857/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..9e7bfe25d5e75ba8ce84c3aee83f30eefa5fb22f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0857/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "857", + "question": "What is the electric potential at point C?", + "choices": { + "A": "1100V", + "B": "1600V", + "C": "800V", + "D": "900V" + }, + "answer": "D", + "original_image_filename": "phyx_857.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0859/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0859/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..1b0482db4349d9715f657a6e978a482be3218b07 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0859/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "859", + "question": "What is the electric potential at the point indicated with the dot?", + "choices": { + "A": "-1100V", + "B": "1600V", + "C": "-800V", + "D": "-1600V" + }, + "answer": "D", + "original_image_filename": "phyx_859.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0861/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0861/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..6d10915ff68e48ef4568fc6f9902fd2c2a5806d5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0861/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "861", + "question": "Two point charges \\( q_a \\) and \\( q_b \\) are located on the \\( x \\)-axis. figure is a graph of \\( E_x \\), the \\( x \\)-component of the electric field. What is the ratio \\( \\left| q_a / q_b \\right| \\)?", + "choices": { + "A": "1.2", + "B": "1.4", + "C": "2", + "D": "1" + }, + "answer": "D", + "original_image_filename": "phyx_861.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0866/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0866/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..f53debdf0d5c6c75af14d53fd6ac05c0e459630a --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0866/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "866", + "question": "In the figure, a proton is fired with a speed of 200,000 m/s from the midpoint of the capacitor toward the positive plate. What is the proton’s speed as it collides with the negative plate?", + "choices": { + "A": "1.59\\times 10^{5}m/s", + "B": "1.49\\times 10^{5}m/s", + "C": "2.19\\times 10^{5}m/s", + "D": "2.96\\times 10^{5}m/s" + }, + "answer": "D", + "original_image_filename": "phyx_866.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0872/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0872/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..82d95bf22daa689f381b155f2f06cc629141bf7d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0872/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "872", + "question": "What is the potential difference \\( \\Delta V_{34} \\)?", + "choices": { + "A": "12V", + "B": "-14V", + "C": "-200V", + "D": "-20V" + }, + "answer": "D", + "original_image_filename": "phyx_872.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0873/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0873/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..7a5bd74e415f5f75bf84528bf66a35d676afbb83 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0873/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "873", + "question": "What is the capacitance of the two metal spheres?", + "choices": { + "A": "0.22nF", + "B": "1.20nF", + "C": "0.25nF", + "D": "0.20nF" + }, + "answer": "D", + "original_image_filename": "phyx_873.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0874/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0874/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..82612a88510b7a21441d3981937871c321a79dd1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0874/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "874", + "question": "What is the potential difference between A and B?", + "choices": { + "A": "12V", + "B": "-14V", + "C": "-200V", + "D": "-70V" + }, + "answer": "D", + "original_image_filename": "phyx_874.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0875/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0875/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..c750f1b0753a13e13ab76d6a46f075c2691e91fd --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0875/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "875", + "question": "The figure shows a graph of \\( V \\) versus \\( x \\) in a region of space. The potential is independent of \\( y \\) and \\( z \\). What is \\( E_{x} \\) at \\( x = 2\\ \\mathrm{cm} \\)?", + "choices": { + "A": "12V/m", + "B": "-14V/m", + "C": "-200V/m", + "D": "-5V/m" + }, + "answer": "D", + "original_image_filename": "phyx_875.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0880/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0880/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..c0b6242882ee56bfed1defde3dab668bd24d2ce3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0880/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "880", + "question": "What is the equal charge on the \\( C_3 \\)?", + "choices": { + "A": "2.5\\ \\mu\\mathrm{C}", + "B": "15\\ \\mu\\mathrm{C}", + "C": "55\\ \\mu\\mathrm{C}", + "D": "16\\ \\mu\\mathrm{C}" + }, + "answer": "D", + "original_image_filename": "phyx_880.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0881/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0881/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..57f84bd340e48c777894ddfd7210d7110878bca5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0881/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "881", + "question": "The switch in figure has been open for a long time. It is closed at \\( t = 0 \\, \\text{s} \\). What is the current through the battery after the switch has been closed a long time?", + "choices": { + "A": "\\( 0.0 \\", + "B": "\\( 4.0 \\", + "C": "\\( 1.0 \\", + "D": "\\( 0.5 \\" + }, + "answer": "C", + "original_image_filename": "phyx_881.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0886/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0886/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..8b588061ed6c825062369e1e69ab33a1b223cee2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0886/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "886", + "question": "The emf phasor in figure is shown. What is the instantaneous value of the emf?", + "choices": { + "A": "\\( -6\\", + "B": "\\( -8\\", + "C": "\\( -10\\", + "D": "\\( -5\\" + }, + "answer": "C", + "original_image_filename": "phyx_886.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0887/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0887/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..ff7b7bafe7fb93a1efb5acf984e0a138fd2a2b35 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0887/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "887", + "question": "What is \\( V_\\text{C} \\) if the emf frequency in figure is \\( 10\\,\\text{kHz} \\)?", + "choices": { + "A": "\\( 12.0\\", + "B": "\\( 6.0\\", + "C": "\\( 8.0\\", + "D": "\\( 5.0\\" + }, + "answer": "C", + "original_image_filename": "phyx_887.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0888/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0888/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..7ad2255d9b523fd230c5868937bdf1d4292559cc --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0888/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "888", + "question": "analyze the RL circuit of figure. What is \\( V_\\text{R} \\) in the limits \\( \\omega \\to 0 \\)?", + "choices": { + "A": "\\( V_\\text{R} \\to 2 \\)", + "B": "\\( V_\\text{R} \\to 0 \\)", + "C": "\\( V_\\text{R} \\to \\mathcal{E}_0 \\)", + "D": "\\( V_\\text{R} \\to 3\\)" + }, + "answer": "C", + "original_image_filename": "phyx_888.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0889/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0889/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..44e6f1dac6505ed3c9961d7d6588507a638726e5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0889/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "889", + "question": "For the circuit of figure. What is the resonance frequency, in \\( \\text{Hz} \\)?", + "choices": { + "A": "\\( 5.0 \\times 10^4 \\text{ Hz} \\)", + "B": "\\( 7.0 \\times 10^3 \\text{ Hz} \\)", + "C": "\\( 5.0 \\times 10^3 \\text{ Hz} \\)", + "D": "\\( 7.0 \\times 10^4 \\text{ Hz} \\)" + }, + "answer": "C", + "original_image_filename": "phyx_889.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0892/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0892/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..c895dde80f8c4da53c37987e50d4cdf0fd99da3f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0892/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "892", + "question": "What is the nit electric force on charge A?", + "choices": { + "A": "1.25N", + "B": "1.35N", + "C": "0N", + "D": "5.33N" + }, + "answer": "C", + "original_image_filename": "phyx_892.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0895/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0895/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..471e3ffc37095bc8316746eaa30bc798b95543eb --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0895/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "895", + "question": "What is the magnitude of the force \\( \\vec{F} \\) on the \\( -10\\,\\mathrm{nC} \\) charge in figure?", + "choices": { + "A": "1.25 \\times 10^{-3}N", + "B": "1.35 \\times 10^{-3}N", + "C": "4.3 \\times 10^{-3}N", + "D": "1.33 \\times 10^{-3}N" + }, + "answer": "C", + "original_image_filename": "phyx_895.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0902/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0902/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6ee0a4c77cd2c28d91af89c50639a45ce4ee035a --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0902/prompt.txt @@ -0,0 +1,8 @@ +Two point charges on threads repel each other. What is the charge? + +A: 0.35\mu\{C} +B: 0.55\mu\{C} +C: 0.75\mu\{C} +D: 1.75\mu\{C} + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0905/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0905/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ac47b0a857c0cba626d5bea81e3960ccaede5cf7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0905/prompt.txt @@ -0,0 +1,8 @@ +An electric field \( \vec{E} = 200{,}000\,\hat{i}\,\mathrm{N/C} \) causes the point charge in figure to hang at a angle. What is the charge on the ball? + +A: 3^\circ +B: 9^\circ +C: 14^\circ +D: 20^\circ + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0910/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0910/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..cf1cd6b40f7b990a13f4c945460c6268fb5c1fd4 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0910/prompt.txt @@ -0,0 +1,8 @@ +Two balls are connected by a \( 2.0\,\mathrm{cm} \)-long insulating rod of negligible mass. The rod is held in a uniform electric field at an angle with respect to the field, then released. What is its initial angular acceleration? + +A: 3rad/s^2 +B: 2rad/s^2 +C: 5rad/s^2 +D: 6rad/s^2 + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0917/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0917/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ab8c971633a0faca15cc44e20524bc1eb31973ca --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0917/prompt.txt @@ -0,0 +1,8 @@ +The magnetic field between the poles of the electromagnet in figure is uniform at any time, but its magnitude is increasing at the rate of $0.020 \, \text{T/s}$. Find the induced current in the circuit. + +A: 0.024mA +B: -0.024mA +C: 0.048mA +D: -0.048mA + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0921/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0921/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..a03bf36498904243923f85de6817a69172134fc9 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0921/prompt.txt @@ -0,0 +1,8 @@ +In one form of Tesla coil (a high-voltage generator popular in science museums), a long solenoid and cross-sectional area is closely wound with turns of wire. A coil with turns surrounds it at its center. Find the mutual inductance \( M \). + +A: 50μH +B: 12.5μH +C: 25μH +D: 100μH + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0928/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0928/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..36f8adaaf160f9b0cc52f693a0d5203aeb19ee00 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0928/prompt.txt @@ -0,0 +1,8 @@ +What value of resistor \( R \) gives the circuit in figure a time constant of \( 25 \, \mu\text{s} \)? + +A: \( 1000 \ +B: \( 750 \ +C: \( 500 \ +D: \( 700 \ + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0934/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0934/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..3787b875c8598e1df5698e914785c1ad10f246af --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0934/prompt.txt @@ -0,0 +1,8 @@ +The switch in figure has been in position 1 for a long time. It is changed to position 2 at \( t = 0 \, \text{s} \). What is the first time at which the current is maximum? + +A: \( 0.20 \ +B: \( 0.50 \ +C: \( 0.40 \ +D: \( 0.60 \ + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0944/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0944/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6a0b51dd65b9a4be1ab367ec414fda20d0bacae4 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0944/prompt.txt @@ -0,0 +1,8 @@ +A radio station on the earth’s surface emits a sinusoidal wave with average total power 50\ \mathrm{kW} Assuming that the transmitter radiates equally in all directions above the ground (which is unlikely in real situations) find the electric-field and magnetic-field amplitudes \( E_\mathrm{max} \) and \( B_\mathrm{max} \) detected by a satellite 100\ \mathrm{km} from the antenna. + +A: 2.2 \times 10^{-11}T +B: 8.17 \times 10^{-11}T +C: 1 \times 10^{-11}T +D: 2.6 \times 10^{-11}T + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0951/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0951/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..c09aaf63a3bec0609051d049bd2832545b1dbeb0 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0951/prompt.txt @@ -0,0 +1,8 @@ +What must be the current \( I \) in the bar for the bar to be in rotational equilibrium when it is at an angle \( heta = 30.0^\circ \) above the horizontal? + +A: 4.52A +B: 2.26A +C: 15.1A +D: 2.60A + +Answer: B