diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0011/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0011/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..e57869b06ebef261f7644a73e5110a9392376549 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0011/prompt.txt @@ -0,0 +1,8 @@ +Consider a light ray traveling between air and a diamond cut in the shape shown in figure If the light ray entering the diamond remains vertical as shown in figure, what angle of rotation should the diamond in the water be rotated about an axis perpendicular to the page through \( O \) so that light will first exit the diamond at \( P \)? + +A: \( 1.90^\circ \) +B: \( 4.12^\circ \) +C: \( 2.83^\circ \) +D: \( 3.07^\circ \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0016/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0016/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..b7114c3b31b2fa85261ed79575b824bf5579b317 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0016/prompt.txt @@ -0,0 +1,8 @@ +The light beam in figure strikes surface 2 at the critical angle. Determine the angle of incidence \( \theta_1 \). + +A: \( 11.5^{\circ} \) +B: \( 27.5^{\circ} \) +C: \( 42.5^{\circ} \) +D: \( 19.5^{\circ} \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0027/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0027/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6864b11118c972b4292462f71e4f88934888f336 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0027/prompt.txt @@ -0,0 +1,8 @@ +In figure, a thin converging lens of focal length 14.0 cm forms an image of the square \( abcd \), which is \( h_c = h_b = 10.0 \text{ cm} \) high and lies between distances of \( p_d = 20.0 \text{ cm} \) and \( p_a = 30.0 \text{ cm} \) from the lens. Let \( a' \), \( b' \), \( c' \), and \( d' \) represent the respective corners of the image. Let \( q_a \) represent the image distance for points \( a' \) and \( b' \), \( q_d \) represent the image distance for points \( c' \) and \( d' \),\( h_b' \) represent the distance from point \( b' \) to the axis, and \( h_c' \) represent the height of \( c' \). Find \( h_c' \). + +A: \( -27.1 \text{ cm} \) +B: \( -19.6 \text{ cm} \) +C: \( -18.5 \text{ cm} \) +D: \( -23.3 \text{ cm} \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0029/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0029/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..e60a424f0b1b40b089ae10358d7a98335d410505 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0029/prompt.txt @@ -0,0 +1,8 @@ +A person is to be fitted with bifocals. She can see clearly when the object is between 30 cm and 1.5 m from the eye. The lower portions of the bifocals should enable her to see objects located 25 cm in front of the eye. What power should they have? + +A: \( +0.539 \text{ diopters} \) +B: \( +0.517 \text{ diopters} \) +C: \( +0.824 \text{ diopters} \) +D: \( +0.667 \text{ diopters} \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0075/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0075/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..0b44200fcdfb46a813b18ee143f178fb77695db3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0075/prompt.txt @@ -0,0 +1,8 @@ +The normal human eye has maximum visual acuity with a pupil diameter of about 3\ \mathrm{mm}. For larger pupils, acuity decreases due to increasing aberrations; for smaller pupils, acuity decreases due to increasing diffraction. If your pupil diameter is 2.0\ \mathrm{mm}, as it would be in bright light, what is the smallest-diameter circle that you should be able to see as a circle, rather than just an unresolved blob, on an eye chart at the standard distance of 20\ \mathrm{ft}? + +A: 1.47mm +B: 2.26mm +C: 2.0mm +D: 1.95mm + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0081/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0081/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ac6e669e22dca2325a526fc7f145046dcbbda16d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0081/prompt.txt @@ -0,0 +1,8 @@ +Figure is a graph of intensity versus angular position $ heta$ for the diffraction of an x-ray beam by a crystal. The horizontal scale is set by $ heta_s = 2.00^\circ$. The beam consists of two wavelengths, and the spacing between the reflecting planes is $0.94 \, \text{nm}$. What is the longer wavelengths in the beam? + +A: 30pm +B: 35pm +C: 38pm +D: 25pm + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0105/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0105/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..5fa626e7f63f242972cebd18102a872bfec1aa5b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0105/prompt.txt @@ -0,0 +1,8 @@ +A beam of light traveling horizontally is made of an unpolarized component with intensity $I_0$ and a polarized component with intensity $I_p$. The plane of polarization of the polarized component is oriented at an angle $\theta$ with respect to the vertical. What are the values of $I_p$? + +A: 20W/m^2 +B: 15W/m^2 +C: 25W/m^2 +D: 30W/m^2 + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0132/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0132/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..1b12e4ae9811cdf01d82d40e5b1aa7c0d8372ef7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0132/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "132", + "question": "The two stars that can just be resolved by the Arecibo radiotelescope, whose diameter is \\(300\\,\\mathrm{m}\\) and whose radius of curvature is also \\(300\\,\\mathrm{m}\\). Assume \\(\\lambda = 4\\,\\mathrm{cm}\\) What is the theoretical minimum angular separation of two stars?", + "choices": { + "A": "$1.6\\times10^{-5}\\", + "B": "$1.6\\times10^{-3}\\", + "C": "$1.6\\times10^{-4}\\", + "D": "$1.7\\times10^{-4}\\" + }, + "answer": "C", + "original_image_filename": "phyx_132.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0132/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0132/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..866f1fea4a29f7330b47d859108a085f8c149a85 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0132/prompt.txt @@ -0,0 +1,8 @@ +The two stars that can just be resolved by the Arecibo radiotelescope, whose diameter is \(300\,\mathrm{m}\) and whose radius of curvature is also \(300\,\mathrm{m}\). Assume \(\lambda = 4\,\mathrm{cm}\) What is the theoretical minimum angular separation of two stars? + +A: $1.6\times10^{-5}\ +B: $1.6\times10^{-3}\ +C: $1.6\times10^{-4}\ +D: $1.7\times10^{-4}\ + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0133/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0133/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ff7888b102f79264e0fb42e532255074eeb56294 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0133/prompt.txt @@ -0,0 +1,8 @@ +A convex meniscus lens is made from glass with \(n = 1.50\). The surface on the right is concave with radius of curvature \(46\,\mathrm{cm}\). What is the focal length? + +A: 0.72m +B: 0.78m +C: 0.84m +D: 0.92m + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0135/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0135/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..c487daf8bf022d3e0b2aedc6ae94617840203889 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0135/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "135", + "question": "A watchman shines a narrow beam of light from his flashlight, above the water level, onto the surface of the water at the edge of the pool. Measure from the bottom of the wall beneath his foot. Where does the spot of light hit the bottom of the pool?", + "choices": { + "A": "5.0m", + "B": "4.7m", + "C": "4.4m", + "D": "5.3m" + }, + "answer": "C", + "original_image_filename": "phyx_135.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0135/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0135/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..4ef9ca78aef30705dff12a45933e31d8d731c9a3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0135/prompt.txt @@ -0,0 +1,8 @@ +A watchman shines a narrow beam of light from his flashlight, above the water level, onto the surface of the water at the edge of the pool. Measure from the bottom of the wall beneath his foot. Where does the spot of light hit the bottom of the pool? + +A: 5.0m +B: 4.7m +C: 4.4m +D: 5.3m + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0215/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0215/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..3735de52c577ced7b7518195a90dbeada8c67d84 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0215/prompt.txt @@ -0,0 +1,8 @@ +An ocean fishing boat is drifting just above a school of tuna on a foggy day.Without warning, an engine backfire occurs on another boat. How much time elapses before the backfire is heard by the fishermen? + +A: 3.52s +B: 6.52s +C: 5.52s +D: 4.52s + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0223/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0223/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..bd27cb55bd14ad2c5ef017aad2b3ca4564d31746 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0223/prompt.txt @@ -0,0 +1,8 @@ +The water level is allowed to drop slowly. As it does so, the air in the tube above the water level is heard to resonate with the tuning fork when the distance from the tube opening to the water level is \( 0.125\,\mathrm{m} \) and again at \( 0.395\,\mathrm{m} \). What is the frequency of the tuning fork? + +A: 615Hz +B: 675Hz +C: 655Hz +D: 635Hz + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0224/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0224/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..3de5d4964fb98e5d65cf043a4210441dbb21803d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0224/prompt.txt @@ -0,0 +1,8 @@ +The most popular alpenhorn is about \( 3.4\,\mathrm{m} \) long, and it is called the F\# (or G\flat) horn.Model as a tube open at both ends. What is the fundamental frequency of this horn? + +A: 62Hz +B: 56Hz +C: 44Hz +D: 50Hz + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0247/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0247/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..aeefb9fc05160004eb1b32dd12cc9e22c9d2728c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0247/prompt.txt @@ -0,0 +1,8 @@ +Your firm has been hired to design a system that allows airplane pilots to make instrument landings in rain or fog. These two transmitters will broadcast the same frequency, but out of phase with each other. This will cause a nodal line to extend straight off the end of the runway. As long as the airplane's receiver is silent, the pilot knows she's directly in line with the runway. If she drifts to one side or the other, the radio will pick up a signal and sound a warning beep. What frequency should you specify for the transmitters? + +A: $150\;MHz$ +B: $100\;MHz$ +C: $200\;MHz$ +D: $120\;MHz$ + +Answer: A diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0300/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0300/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..77370ad5eb4f0fe7c5f73d80b0f3e5ac6156678d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0300/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "300", + "question": "Figure shows the displacement $y$ versus time $t$ of the point on a string at $x = 0$, as a wave passes through that point. The scale of the $y$ axis is set by $y_s = 6.0$ mm. The wave is given by $y(x, t) = y_m \\sin(kx - \\omega t + \\phi)$. What is $\\phi$ (positive)?", + "choices": { + "A": "0.4 rad", + "B": "0.7 rad", + "C": "1.4 rad", + "D": "2.8 rad" + }, + "answer": "D", + "original_image_filename": "phyx_300.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0300/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0300/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..86e8060c20b9df30bc5d4997e634e8bf9a0844f9 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0300/prompt.txt @@ -0,0 +1,8 @@ +Figure shows the displacement $y$ versus time $t$ of the point on a string at $x = 0$, as a wave passes through that point. The scale of the $y$ axis is set by $y_s = 6.0$ mm. The wave is given by $y(x, t) = y_m \sin(kx - \omega t + \phi)$. What is $\phi$ (positive)? + +A: 0.4 rad +B: 0.7 rad +C: 1.4 rad +D: 2.8 rad + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0301/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0301/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..1e66ce2063c6b73a4727e87bfc6a838d0149310f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0301/prompt.txt @@ -0,0 +1,8 @@ +A single pulse, given by $h(x - 5.0t)$, is shown in figure for $t = 0$. The scale of the vertical axis is set by $h_s = 2$. Here $x$ is in centimeters and $t$ is in seconds. What is the speed of travel of the pulse? + +A: 4.2 cm/s +B: 4.5 cm/s +C: 4.7 cm/s +D: 5.0 cm/s + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0307/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0307/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..fc42f161fffa943b48c494eaeefe0a80a68d16c8 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0307/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "307", + "question": "A continuous traveling wave with amplitude $A$ is incident on a boundary. The continuous reflection, with a smaller amplitude $B$, travels back through the incoming wave. The resulting interference pattern is displayed in figure. The standing wave ratio is defined to be $$SWR = \\frac{A + B}{A - B}.$$ The reflection coefficient $R$ is the ratio of the power of the reflected wave to the power of the incoming wave and is thus proportional to the ratio $(B/A)^2$. For SWR = $1.50$, what is $R$ expressed as a percentage?", + "choices": { + "A": "3.2%", + "B": "3.5%", + "C": "3.8%", + "D": "4.0%" + }, + "answer": "D", + "original_image_filename": "phyx_307.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0307/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0307/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..4f3640d3118f3f447df3f786ba62e37a885891d6 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0307/prompt.txt @@ -0,0 +1,8 @@ +A continuous traveling wave with amplitude $A$ is incident on a boundary. The continuous reflection, with a smaller amplitude $B$, travels back through the incoming wave. The resulting interference pattern is displayed in figure. The standing wave ratio is defined to be $$SWR = \frac{A + B}{A - B}.$$ The reflection coefficient $R$ is the ratio of the power of the reflected wave to the power of the incoming wave and is thus proportional to the ratio $(B/A)^2$. For SWR = $1.50$, what is $R$ expressed as a percentage? + +A: 3.2% +B: 3.5% +C: 3.8% +D: 4.0% + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0308/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0308/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..da26935c75d5b51748905250a5d90682d722f90f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0308/prompt.txt @@ -0,0 +1,8 @@ +One clue used by your brain to determine the direction of a source of sound is the time delay $\Delta t$ between the arrival of the sound at the ear closer to the source and the arrival at the farther ear. Assume that the source is distant so that a wavefront from it is approximately planar when it reaches you, and let $D$ represent the separation between your ears. Based on the time-delay clue, your brain interprets the submerged sound to arrive at an angle $\theta$ from the forward direction. Evaluate $\theta$ for fresh water at $20^\circ$C. + +A: $4^\circ$ +B: $7^\circ$ +C: $10^\circ$ +D: $13^\circ$ + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0309/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0309/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..24095d3b9bebaa422fd9a81e472a6f78200b0c8c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0309/prompt.txt @@ -0,0 +1,8 @@ +Figure shows the output from a pressure monitor mounted at a point along the path taken by a sound wave of a single frequency traveling at $343$ m/s through air with a uniform density of $1.21$ kg/m$^3$. The vertical axis scale is set by $\Delta p_s = 4.0$ mPa. If the displacement function of the wave is $s(x, t) = s_m \cos(kx - \omega t)$, what is $k$? + +A: 8.0 rad/m +B: 8.4 rad/m +C: 8.8 rad/m +D: 9.2 rad/m + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0337/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0337/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..4883245111cbba148f8229f3c7823c54016c89f5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0337/prompt.txt @@ -0,0 +1,8 @@ +The process $abc$ shown in the $pV$-diagram in \textbf{figure} involves $0.0175$ mol of an ideal gas. How much work was done by or on the gas from $a$ to $b$? From $b$ to $c$? (c) If $215~\text{J}$ of heat was put into the gas during $abc$, how many of those joules went into internal energy? + +A: 58J +B: 53J +C: 33J +D: 63J + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0338/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0338/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..f7f169d85402d1c281ab57a7fc12155388c70f8f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0338/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "338", + "question": "The $pV$-diagram in \\textbf{figure} shows a process $abc$ involving $0.450$ mol of an ideal gas. How much heat had to be added during the process to increase the internal energy of the gas by $15{,}000~\\text{J}$?", + "choices": { + "A": "3.4 \\times 10^5J", + "B": "3.6 \\times 10^4J", + "C": "2.6 \\times 10^4J", + "D": "3.2 \\times 10^4J" + }, + "answer": "B", + "original_image_filename": "phyx_338.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0338/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0338/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..1720863b31de885aba79cb5cacd84341fde7f83a --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0338/prompt.txt @@ -0,0 +1,8 @@ +The $pV$-diagram in \textbf{figure} shows a process $abc$ involving $0.450$ mol of an ideal gas. How much heat had to be added during the process to increase the internal energy of the gas by $15{,}000~\text{J}$? + +A: 3.4 \times 10^5J +B: 3.6 \times 10^4J +C: 2.6 \times 10^4J +D: 3.2 \times 10^4J + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0339/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0339/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..dc8fb7c2a673906d641a3a1802396997655c695d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0339/prompt.txt @@ -0,0 +1,8 @@ +\textbf{Figure} shows the $pV$-diagram for a process in which the temperature of the ideal gas remains constant at $85^\circ\text{C}$. By how much did the internal energy of the gas change during this process? + +A: 15J +B: 0J +C: 25J +D: 32J + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0443/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0443/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..b04b2cb326f7fa5d2a07428d8440e4ca01497438 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0443/prompt.txt @@ -0,0 +1,8 @@ +A $1 \, \text{m}^3$ rigid tank with air at $1 \, \text{MPa}$ and $400 \, \text{K}$ is connected to an air line as shown in figure. The valve is opened and air flows into the tank until the pressure reaches $5 \, \text{MPa}$, at which point the valve is closed and the temperature inside is $450 \, \text{K}$. The tank eventually cools to room temperature, $300 \, \text{K}$. What is the pressure inside the tank then? + +A: 1.00 MPa +B: 5.00 MPa +C: 2.67 MPa +D: 3.33 MPa + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0472/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0472/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..b023638533fbf38e281b8fa0db0313fbc5054812 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0472/prompt.txt @@ -0,0 +1,8 @@ +The compression ratio of a diesel engine is 15.0 to 1.The initial volume of the cylinder is 1.00 L = 1.00 \times 10^{-3} m^3.Use the values C_V = 20.8 J/mol\cdot K and \gamma = 1.400 for air. How much work does the gas do during the compression? + +A: -453J +B: -494J +C: 494J +D: 453J + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0475/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0475/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..7f48ee4c01a65006bd1f104808ba3c22a3472da3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0475/prompt.txt @@ -0,0 +1,8 @@ +A partition divides a thermally insulated box into two compartments. Initially, one compartment contains $n$ moles of an ideal gas at temperature $T$, and the other compartment is evacuated. We break the partition and the gas expands, filling both compartments. What is the entropy change in this free-expansion process? + +A: nR \ln 3$ +B: nR \ln 2$ +C: nR \ln 1$ +D: nR \ln 4$ + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0481/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0481/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..5a1213bbb5f86cc506ab2e66b01a3ae9165489c7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0481/prompt.txt @@ -0,0 +1,8 @@ +A refrigerator using helium gas operates on a reversed Brayton cycle with a pressure ratio of \(5.0\). Prior to compression, the gas occupies \(100\,\mathrm{cm^3}\) at a pressure of \(150\,\mathrm{kPa}\) and a temperature of \(-23^\circ\mathrm{C}\). Its volume at the end of the expansion is \(80\,\mathrm{cm^3}\). It operates at \(60\) cycles per second. What are the refrigerator's power input? + +A: 390W +B: 400W +C: 410W +D: 420W + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0486/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0486/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..032c261a6db9618a419d4bcce196739d1ad72d9b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0486/prompt.txt @@ -0,0 +1,8 @@ +The \(1.20\,\mathrm{kg}\) head of a hammer has a speed of \(7.5\,\mathrm{m/s}\) just before it strikes a nail and is brought to rest. A\(14\,\mathrm{g}\) iron nail is struck by eight such hammer blows done in quick succession. Assume the nail absorbs all the energy. Estimate how much the temperature rises. + +A: 28°C +B: 52°C +C: 34°C +D: 43°C + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0550/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0550/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..9b7c8c9d8e28d56bf4982ef34fd9498751888b48 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0550/prompt.txt @@ -0,0 +1,8 @@ +A particle is confined between two impenetrable walls as shown in the figure. The wave function describing the particle's state is $\psi = cx(l-x)$, where $c$ is an undetermined constant. Calculate the probability of finding the particle in the interval from $0$ to $\frac{1}{3}l$. + +A: \[ \frac{11}{72} \] +B: \[ \frac{35}{72} \] +C: \[ \frac{37}{81} \] +D: \[ \frac{17}{81} \] + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0551/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0551/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..c0afda16de5fe4ca519143693f4dd15e6c9d711f --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0551/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "551", + "question": "An atom of uranium (\\( m = 3.9529 \\times 10^{-25} \\) kg) at rest decays spontaneously into an atom of helium (\\( m = 6.6465 \\times 10^{-27} \\) kg) and an atom of thorium (\\( m = 3.8864 \\times 10^{-25} \\) kg). The helium atom is observed to move in the positive \\( x \\) direction with a velocity of \\( 1.423 \\times 10^7 \\) m/s as shown in figure. Find the total kinetic energy of the two atoms after the decay.", + "choices": { + "A": "\\( 6.09 \\times 10^{-13} \\text{ J} \\)", + "B": "\\( 5.992 \\times 10^{-13} \\text{ J} \\)", + "C": "\\( 7.231 \\times 10^{-13} \\text{ J} \\)", + "D": "\\( 6.844 \\times 10^{-13} \\text{ J} \\)" + }, + "answer": "D", + "original_image_filename": "phyx_551.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0551/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0551/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..5a52e523fe2b72bf5c3751040d195889b41afee7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0551/prompt.txt @@ -0,0 +1,8 @@ +An atom of uranium (\( m = 3.9529 \times 10^{-25} \) kg) at rest decays spontaneously into an atom of helium (\( m = 6.6465 \times 10^{-27} \) kg) and an atom of thorium (\( m = 3.8864 \times 10^{-25} \) kg). The helium atom is observed to move in the positive \( x \) direction with a velocity of \( 1.423 \times 10^7 \) m/s as shown in figure. Find the total kinetic energy of the two atoms after the decay. + +A: \( 6.09 \times 10^{-13} \text{ J} \) +B: \( 5.992 \times 10^{-13} \text{ J} \) +C: \( 7.231 \times 10^{-13} \text{ J} \) +D: \( 6.844 \times 10^{-13} \text{ J} \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0556/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0556/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..7d24c25e1b6068bd1865bc0d5f35a59b063455fc --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0556/prompt.txt @@ -0,0 +1,8 @@ +Particle A has a rest energy of \( 1192 \text{ MeV} \) and is moving through the laboratory in the positive \( x \) direction. It decays into particle B (rest energy = \( 1116 \text{ MeV} \)) and a photon; particle A disappears in the decay process. The photon moves in a direction at an angle \( \theta \) with the positive \( x \) axis as shown in figure. Find the angle \( \theta \). + +A: \( 9.8^\circ \) +B: \( 10.5^\circ \) +C: \( 13.3^\circ \) +D: \( 12.7^\circ \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0561/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0561/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..55aa97b76744673517eb57bc16d58c736a6cc96e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0561/prompt.txt @@ -0,0 +1,8 @@ +Assuming that the difference between Thomson's calculated \( e/m \) in his second experiment (see Figure 3-19) and the currently accepted value was due entirely to his neglecting the horizontal component of Earth's magnetic field outside the deflection plates. What value for that component does the difference imply? (Thomson's data: \( B = 5.5 \times 10^{-4} \) T, \( \mathcal{E} = 1.5 \times 10^4 \) V/m, \( x_1 = 5 \) cm, \( y_2/x_2 = 8/110 \).) + +A: \( -18\mu T \) +B: \( -43\mu T \) +C: \( -22\mu T \) +D: \( -31\mu T \) + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0568/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0568/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ae2a5ce4785d510623304de7fb228cb4639a07dc --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0568/prompt.txt @@ -0,0 +1,8 @@ +A rocket ship of length $L_0 = 240$ m, at rest with respect to an observer O′, travels at a constant velocity $V = 0.6c$ relative to an inertial observer O on the ground. A light source is placed midway in the rocket ship, at point B, between two mirrors, points A and C (see figure 17.4). The light source emits two flashes, one in the direction of the nose of the ship (point C) and one in the direction of the tail (point A). Subsequently, the two flashes return to the source where they are absorbed. Determine the time that the flashes take to reach the mirrors as measured by an observer O′ on the rocket ship. + +A: 0.55\mu\s +B: 0.4\mu\s +C: 0.95\mu\s +D: 10.2\mu\s + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0569/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0569/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..5aa79df53d27deb89b59bb629690f73eed2887eb --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0569/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "569", + "question": "An x-ray photon with energy of 100 keV experiences a ‘head-on’ collision with an electron at rest. Using conservation of momentum and energy, find the recoil velocity of the electron.", + "choices": { + "A": "0.55c", + "B": "0.95c", + "C": "0.32c", + "D": "10.2c" + }, + "answer": "C", + "original_image_filename": "phyx_569.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0569/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0569/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..5f62686e7810959dfd2809c44f764f525b73fd1c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0569/prompt.txt @@ -0,0 +1,8 @@ +An x-ray photon with energy of 100 keV experiences a ‘head-on’ collision with an electron at rest. Using conservation of momentum and energy, find the recoil velocity of the electron. + +A: 0.55c +B: 0.95c +C: 0.32c +D: 10.2c + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0592/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0592/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..955114ae21347d0c0065ddd44305629f7448d1a2 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0592/prompt.txt @@ -0,0 +1,8 @@ +Figure gives their spatial separation $\Delta x$ according to the $S$ observer as a function of $\Delta t$ for a range of $\Delta t$ values. The vertical axis scale is set by $\Delta x_a = 10.0 \, \text{m}$. What is $\Delta x'$? + +A: 2.0m +B: 1.3m +C: 0.79m +D: 3.0m + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0595/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0595/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..6675b46898448c52c0741d1c4c1c2c9a6257aeb1 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0595/prompt.txt @@ -0,0 +1,8 @@ +Figure gives the velocity $u'$ of a particle relative to frame $S'$ for a range of values of $v$, where $v$ is the velocity of frame $S'$ relative to a reference frame $S$. The vertical axis scale is set by $u'_a = -0.800c$. What value will \( u' \) have if \( v \rightarrow c \)? + +A: -0.80c +B: 0 +C: -c +D: -1.20c + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0640/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0640/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..0b4732b8490d08b4dbce07f7a25157dc08d28588 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0640/prompt.txt @@ -0,0 +1,8 @@ +The two parallel electrodes in figure. A proton enters the plates from one end, an equal distance from both electrodes. A potential difference $\Delta$ across the electrodes deflects the proton so that it strikes the outer end of the lower electrode. Assume that both the electric and magnetic fields are confined to the space between the electrodes. What magnetic field strength will allow the proton to pass through undeflected while the $500$ $V$ potential difference is applied? + +A: 40 mT +B: 46 mT +C: 50 mT +D: 56 mT + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0647/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0647/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..b1cbcf74c353c5825f9b2d210117957ae893b223 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0647/prompt.txt @@ -0,0 +1,8 @@ +Figure shows the wave function of an electron. What is the probability that the electron is located between $x = -1.0$ $nm$ and $x = 1.0$ $nm$? + +A: 0.40 +B: 0.80 +C: 0.90 +D: 0.60 + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0671/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0671/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..bcc478cbe69b0b5a52fb4fa6eaae000b0d7a95a7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0671/prompt.txt @@ -0,0 +1,8 @@ +A student drives a moped along a straight road as described by the velocity--time graph in figure. What is the moped's final position at \( t = 9.00 \text{ s} \)? + +A: 16m +B: 14m +C: 28m +D: 32m + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0678/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0678/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..5cab00dbacb584ecd92bd30e41238a5f0d58049b --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0678/prompt.txt @@ -0,0 +1,8 @@ +A snow-covered ski slope makes an angle with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of \( 1.50 \text{ m} \) in the uphill direction as shown in figure. Find the components of its maximum displacement perpendicular to the surface. + +A: \( 0.178 \text{ m} \) +B: \( 0.851 \text{ m} \) +C: \( 0.944 \text{ m} \) +D: \( 0.781 \text{ m} \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0685/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0685/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..8109ed94c6f0ca2e707e179777d7d7e90f6b3c21 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0685/prompt.txt @@ -0,0 +1,8 @@ +A playground is on the flat roof of a city school, \( 6.00 \text{ m} \) above the street below as shown in figure. The vertical wall of the building is \( h = 7.00 \text{ m} \) high, forming a 1-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of \( \theta = 53.0^\circ \) above the horizontal at a point \( d = 24.0 \text{ m} \) from the base of the building wall. The ball takes \( 2.20 \text{ s} \) to reach a point vertically above the wall. Find the horizontal distance from the wall to the point on the roof where the ball lands. + +A: \( 2.86 \text{ m} \) +B: \( 3.12 \text{ m} \) +C: \( 2.79 \text{ m} \) +D: \( 2.13 \text{ m} \) + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0752/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0752/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..5efe452e036ebb8e86207572c1722347d4222b93 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0752/prompt.txt @@ -0,0 +1,8 @@ +During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. Figure shows a cross section of Mt. Fuji, in Japan. At what initial speed would a bomb have to be ejected, at angle $\theta_0 = 35^\circ$ to the horizontal, from the vent at $A$ in order to fall at the foot of the volcano at $B$, at vertical distance $h = 3.30\ km$ and horizontal distance $d = 9.40\ km$? Ignore, for the moment, the effect of air on the bomb's travel. + +A: 235.5 m/s +B: 245.5 m/s +C: 255.5 m/s +D: 265.5 m/s + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0753/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0753/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..a55f8a21c274ac88cf9f4285f7e064d928dcb92d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0753/prompt.txt @@ -0,0 +1,8 @@ +In figure, a lump of wet putty moves in uniform circular motion as it rides at a radius of $20.0\ cm$ on the rim of a wheel rotating counterclockwise with a period of $5.00\ ms$. The lump then happens to fly off the rim at the 5 o'clock position (as if on a clock face). It leaves the rim at a height of $h = 1.20\ m$ from the floor and at a distance $d = 2.50\ m$ from a wall. At what height on the wall does the lump hit? + +A: 2.56 m +B: 2.60 m +C: 2.64 m +D: 2.66 m + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0762/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0762/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..0f92e34637ce9f7ca75969f5454bfc8d62d54057 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0762/prompt.txt @@ -0,0 +1,8 @@ +In figure, elevator cabs are connected by a short cable and can be pulled upward or lowered by the cable above cab $A$. Cab $A$ has mass $1700\ kg$; cab $B$ has mass $1300\ kg$. A $12.0\ kg$ box of catnip lies on the floor of cab $A$. The tension in the cable connecting the cabs is $1.91 \times 10^4\ N$. What is the magnitude of the normal force on the box from the floor? + +A: 168 N +B: 172 N +C: 176 N +D: 180 N + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0763/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0763/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..5eff2a06f8547b306d8927c3f9c6b87e1f54c9af --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0763/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "763", + "question": "A block is attached to a very light horizontal spring of force constant 500.0 N/m and is resting on a frictionless horizontal table as shown in figure. Suddenly it is struck by a stone traveling horizontally to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left. Find the maximum distance that the block will compress the spring after the collision.", + "choices": { + "A": "0.231m", + "B": "0.346m", + "C": "0.549m", + "D": "0.651m" + }, + "answer": "B", + "original_image_filename": "phyx_763.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0763/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0763/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..74e81f562f3671992e0b8d6bac1c315f0e198d98 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0763/prompt.txt @@ -0,0 +1,8 @@ +A block is attached to a very light horizontal spring of force constant 500.0 N/m and is resting on a frictionless horizontal table as shown in figure. Suddenly it is struck by a stone traveling horizontally to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left. Find the maximum distance that the block will compress the spring after the collision. + +A: 0.231m +B: 0.346m +C: 0.549m +D: 0.651m + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0764/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0764/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..066a92afd0d37583dba52c99524e38ad0a4fbac6 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0764/prompt.txt @@ -0,0 +1,8 @@ +A chunk of ice is sliding on the floor of an ice-covered valley when it collides with and sticks to another chunk of ice that is initially at rest as shown in figure. Since the valley is icy, there is no friction. After the collision, how high above the valley floor will the combined chunks go? + +A: 1.6m +B: 1.2m +C: 1.9m +D: 1.5m + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0765/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0765/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..8994d65a716b1c158c8b23d86227d01d3e6534ee --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0765/prompt.txt @@ -0,0 +1,8 @@ +A 0.150 kg frame, when suspended from a coil spring, stretches the spring 0.0400 m. A 0.200 kg lump of putty is dropped from rest onto the frame as shown in figure. Find the maximum distance the frame moves downward from its initial equilibrium position. + +A: 0.371m +B: 0.199m +C: 0.085m +D: 0.264m + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0790/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0790/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..ab4db47e0e134240e6de3e6a26139a824f5b18a7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0790/prompt.txt @@ -0,0 +1,8 @@ +A 500.0 g bird is flying horizontally at 2.25 m/s, not paying much attention, when it suddenly flies into a stationary vertical bar as shown in figure. The bar is uniform, 0.750 m long, has a mass of 1.50 kg, and is hinged at its base. What is the angular velocity of the bar just as it reaches the ground? + +A: 4.08 rad/s +B: 6.58 rad/s +C: 2.17 rad/s +D: 12.39 rad/s + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0791/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0791/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..732d833e5acffaa52e1326391cebd5e92d7ab563 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0791/prompt.txt @@ -0,0 +1,8 @@ +The magnitudes of the vectors are \( A = 4.00 \) and \( B = 5.00 \). Find the scalar product \( \vec{A} \cdot \vec{B} \) of the two vectors in figure. + +A: 2.40 +B: 4.50 +C: 8.30 +D: 7.20 + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0797/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0797/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..0e7dd5ca90416c2bd17a385906413e5ace87712d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0797/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "797", + "question": "An airplane's compass indicates that it is headed due north as shown in figure. If there is a wind from west to east. what is the velocity of the airplane relative to the earth?", + "choices": { + "A": "\\( 160 \\", + "B": "\\( 260 \\", + "C": "\\( 290 \\", + "D": "\\( 410 \\" + }, + "answer": "B", + "original_image_filename": "phyx_797.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0797/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0797/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..374f83a979729810aab8250b83638e953cb2e9ac --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0797/prompt.txt @@ -0,0 +1,8 @@ +An airplane's compass indicates that it is headed due north as shown in figure. If there is a wind from west to east. what is the velocity of the airplane relative to the earth? + +A: \( 160 \ +B: \( 260 \ +C: \( 290 \ +D: \( 410 \ + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0798/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0798/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..9e0bd43e715d12e6e6d63efe05c6481b33dd5150 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0798/prompt.txt @@ -0,0 +1,8 @@ +A waitress shoves a ketchup bottle with mass to her right along a smooth, level lunch counter as shown in figure. The bottle leaves her hand then slows down as it slides because of a constant horizontal friction force exerted on it by the countertop. What are the magnitude of the friction force acting on the bottle? + +A: 0.45N +B: 0.90N +C: 1.35N +D: 1.80N + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0799/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0799/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..39f652e6f7046e53bb60e28040f2ded9433d8f9a --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0799/prompt.txt @@ -0,0 +1,8 @@ +A car of rests on a slanted ramp attached to a trailer as shown in figure. Only a cable running from the trailer to the car prevents the car from rolling off the ramp. (The car's brakes are off and its transmission is in neutral.) Find the force that the ramp exerts on the car's tires. + +A: \( w \sin \alpha \) +B: \( w \cos \alpha \) +C: \( 2w \cos \alpha \) +D: \( 2w \sin \alpha \) + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0812/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0812/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..9febda3f522aa0c78be9bf9f10a517197312fc17 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0812/prompt.txt @@ -0,0 +1,8 @@ +We want to slide a 12 kg crate up a ramp inclined. A worker, ignoring friction, calculates that he can do this by giving it an initial speed at the bottom and letting it go. But friction is \textit{not} negligible; the crate slides up the ramp, stops, and slides back down as shown in figure. How fast is the crate moving when it reaches the bottom of the ramp? + +A: 3.2m/s +B: 2.5m/s +C: 5m/s +D: 1.5m/s + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0815/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0815/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..1fede9945d15f7b15dadcb48290f167ff2cf95f0 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0815/prompt.txt @@ -0,0 +1,8 @@ +Figure shows a ballistic pendulum, a simple system for measuring the speed of a bullet. A bullet makes a completely inelastic collision with a block of wood, which is suspended like a pendulum. After the impact, the block swings up to a maximum height. What is the initial speed \( v_1 \) of the bullet? + +A: \( \frac{m_{\text{B}} + m_{\text{W}}}{m_{\text{B}}} \sqrt{gh} \) +B: \( \frac{m_{\text{B}} + m_{\text{W}}}{m_{\text{B}}} \sqrt{2gh} \) +C: \( \frac{m_{\text{B}} + m_{\text{W}}}{m_{\text{W}}} \sqrt{2gh} \) +D: \( \frac{m_{\text{B}} + m_{\text{W}}}{m_{\text{W}}} \sqrt{gh} \) + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0849/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0849/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..5477324edffae3f32f85c08432f1a83e0ae00f15 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0849/prompt.txt @@ -0,0 +1,8 @@ +The conducting box in figure has been given an excess negative charge. The surface density of excess electrons at the center of the top surface is \( 5.0 imes 10^{10} \) electrons/m\(^2\). What are the electric field strengths \( E_1 \) to \( E_3 \) at points 1 to 3? + +A: 800N m^2/C +B: 1000N m^2/C +C: 200N m^2/C +D: 900N m^2/C + +Answer: D diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0906/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0906/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..d04a6fb1501d28e68eb55ece74ede3b50807ce48 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0906/prompt.txt @@ -0,0 +1,8 @@ +The identical small spheres shown in figure hang as shown in a \( 100{,}000\,\mathrm{N/C} \) electric field. What is the mass of each sphere? + +A: 3g +B: 4.4g +C: 4.1g +D: 5.2g + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0907/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0907/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..4ae38dc6f955d2d2d9d248df183cf736b013fffd --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0907/prompt.txt @@ -0,0 +1,8 @@ +The force on the -1.0 nC charge is as shown in Figure What is the magnitude of this force? + +A: 7.25 \times 10^{-4}N +B: 6.35 \times 10^{-4}N +C: 1.7 \times 10^{-4}N +D: 1.33 \times 10^{-4}N + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0909/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0909/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..bd61c71a866d7e9be90caea9ee6710a9d6caf626 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0909/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "909", + "question": "An electron gun creates a beam of electrons moving horizontally with a speed of \\( 3.3\\times10^{7}\\,\\mathrm{m/s} \\). The electrons enter a gap between two parallel electrodes with a electric field. By what angle, is the electron beam deflected by these electrodes?", + "choices": { + "A": "3^\\circ", + "B": "9^\\circ", + "C": "9.1^\\circ", + "D": "20^\\circ" + }, + "answer": "C", + "original_image_filename": "phyx_909.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0909/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0909/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..81d3e038464a59a440f850b461423b3d1abb635d --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0909/prompt.txt @@ -0,0 +1,8 @@ +An electron gun creates a beam of electrons moving horizontally with a speed of \( 3.3\times10^{7}\,\mathrm{m/s} \). The electrons enter a gap between two parallel electrodes with a electric field. By what angle, is the electron beam deflected by these electrodes? + +A: 3^\circ +B: 9^\circ +C: 9.1^\circ +D: 20^\circ + +Answer: C diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0929/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0929/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..9da9bccb66e5e4876c659413c29b94eb131d89f5 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0929/prompt.txt @@ -0,0 +1,8 @@ +Figure shows a square bent at a \( 90^\circ \) angle. A uniform \( 0.050 \, \text{T} \) magnetic field points downward at a angle. What is the magnetic flux through the loop? + +A: \( 4.2 \times 10^{-4} \ \text{Wb} \) +B: \( 3.5 \times 10^{-4} \ \text{Wb} \) +C: \( 3.1 \times 10^{-4} \ \text{Wb} \) +D: \( 1.6 \times 10^{-4} \ \text{Wb} \) + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0930/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0930/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..9a474bd669e91bbcfce4621ac09e86635b85077c --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0930/prompt.txt @@ -0,0 +1,8 @@ +Figure shows a loop with resistance \( 0.10 \, \Omega \) around a solenoid. The solenoid is \( 10 \, \text{cm} \) long, has \( 100 \) turns, and carries the current shown in the graph positive current is cw when seen from the left. Find the current in the loop at \( t = 2.5 \, \text{s} \). + +A: \( 1.6 \ \mu \text{A} \) +B: \( 0 \ \mu \text{A} \) +C: \( 3.2 \ \mu \text{A} \) +D: \( 0.8 \ \mu \text{A} \) + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0931/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0931/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..74830d9758b885adc3886c919df4ce3a8ec94220 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0931/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "931", + "question": "The square loop shown in figure moves into a magnetic field at a constant speed. The loop has a resistance of \\( 0.10 \\, \\Omega \\), and it enters the field at \\( t = 0 \\, \\text{s} \\). What is the maximum current?", + "choices": { + "A": "\\( 13 \\", + "B": "\\( 11 \\", + "C": "\\( 10 \\", + "D": "\\( 9 \\" + }, + "answer": "B", + "original_image_filename": "phyx_931.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0931/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0931/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..4f6e062c0133c41c0139f60dcde55bc81f1d4e61 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0931/prompt.txt @@ -0,0 +1,8 @@ +The square loop shown in figure moves into a magnetic field at a constant speed. The loop has a resistance of \( 0.10 \, \Omega \), and it enters the field at \( t = 0 \, \text{s} \). What is the maximum current? + +A: \( 13 \ +B: \( 11 \ +C: \( 10 \ +D: \( 9 \ + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0936/original/question.json b/M-4_phyx_data-generator/phyx_task/phyx_0936/original/question.json new file mode 100644 index 0000000000000000000000000000000000000000..f65f5ae79a2040595d1b95365474311533c4a7c7 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0936/original/question.json @@ -0,0 +1,14 @@ +{ + "dataset": "PhyX", + "source_id": "936", + "question": "A 500-loop circular wire coil with radius \\( 4.00 \\ \\mathrm{cm} \\) is placed between the poles of a large electromagnet. The magnetic field is uniform; it decreases at \\( 0.200 \\ \\mathrm{T/s} \\). What are the magnitude and direction of the induced emf?", + "choices": { + "A": "0.456V", + "B": "0.435V", + "C": "0.544V", + "D": "0.231V" + }, + "answer": "B", + "original_image_filename": "phyx_936.png", + "has_embedded_choices": false +} \ No newline at end of file diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0936/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0936/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..18b207ed8443f691f702e4b462a532911727b39e --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0936/prompt.txt @@ -0,0 +1,8 @@ +A 500-loop circular wire coil with radius \( 4.00 \ \mathrm{cm} \) is placed between the poles of a large electromagnet. The magnetic field is uniform; it decreases at \( 0.200 \ \mathrm{T/s} \). What are the magnitude and direction of the induced emf? + +A: 0.456V +B: 0.435V +C: 0.544V +D: 0.231V + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0937/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0937/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..0292ce27d93b88ac7090459f46119ea4a1c908bf --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0937/prompt.txt @@ -0,0 +1,8 @@ +Suppose the moving rod in figure is \( 0.10 \\ \mathrm{m} \) long, the velocity \( v \) is \( 2.5 \\ \mathrm{m/s} \), the total resistance of the loop is \( 0.030 \\ \Omega \), and \( B \) is \( 0.60 \\ \mathrm{T} \). Find the force acting on the rod. + +A: 0.45N +B: 0.3N +C: 0.5N +D: 0.2N + +Answer: B diff --git a/M-4_phyx_data-generator/phyx_task/phyx_0939/prompt.txt b/M-4_phyx_data-generator/phyx_task/phyx_0939/prompt.txt new file mode 100644 index 0000000000000000000000000000000000000000..7f1bd9fbc64626bd344f2ef417abe4741b8469b3 --- /dev/null +++ b/M-4_phyx_data-generator/phyx_task/phyx_0939/prompt.txt @@ -0,0 +1,8 @@ +In one form of Tesla coil. Find the mutual inductance \( M \). + +A: 22\ \mu\mathrm{H} +B: 25\ \mu\mathrm{H} +C: 75\ \mu\mathrm{H} +D: 28\ \mu\mathrm{H} + +Answer: B