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M-4_phyx_data-generator/phyx_task/phyx_0009/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0012/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0013/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0014/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0021/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0022/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0025/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0031/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0040/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0041/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0046/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0047/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0048/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0049/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0052/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0062/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0065/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0070/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0071/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0076/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0077/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0078/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0079/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0082/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0083/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0084/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0085/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0091/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0096/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0099/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0101/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0106/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0108/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0113/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0114/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0139/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0152/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0178/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0199/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0203/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0204/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0210/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0213/prompt.txt

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+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

M-4_phyx_data-generator/phyx_task/phyx_0217/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0219/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0221/original/question.json

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+{
+  "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
+}

M-4_phyx_data-generator/phyx_task/phyx_0226/original/question.json

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+{
+  "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
+}

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
+}

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
+}

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
+}