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M-4_phyx_data-generator/clip_config.json

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+{
+  "fps": 16,
+  "seconds": 5.0625,
+  "num_frames": 81,
+  "width": 832,
+  "height": 480
+}

M-4_phyx_data-generator/phyx_task/phyx_0003/prompt.txt

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+When the light ray illustrated in figure passes through the glass block of index of refraction \( n = 1.50 \), it is shifted laterally by the distance \( d \). Find the time interval required for the light to pass through the glass block.
+
+A: \( 1.33\times 10^{-10} \text{ s} \)
+B: \( 2.06\times 10^{-10} \text{ s} \)
+C: \( 1.06\times 10^{-10} \text{ s} \)
+D: \( 1.92\times 10^{-10} \text{ s} \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0004/prompt.txt

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+A narrow beam of ultrasonic waves reflects off the liver tumor illustrated in figure. The speed of the wave is \( 10.0\% \) less in the liver than in the surrounding medium. Determine the depth of the tumor.
+
+A: \( 8.50 \text{ cm} \)
+B: \( 4.90 \text{ cm} \)
+C: \( 6.30 \text{ cm} \)
+D: \( 10.80 \text{ cm} \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0045/prompt.txt

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+The far point of a certain myopic eye is 50 cm in front of the eye. Assume that the lens is worn 2 cm in front of the eye. Find the focal length of the eyeglass lens that will permit the wearer to see clearly an object at infinity.
+
+A: -35cm
+B: -48cm
+C: -37cm
+D: -43cm
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0103/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "103",
+  "question": "Some of the light reflects from the wall and enters the water. The refractive index of the plastic wall is 1.61. The light that has been reflected from the wall into the water is observed to be completely polarized. What angle does this beam make with the normal inside the water?",
+  "choices": {
+    "A": "23.3°",
+    "B": "25.3°",
+    "C": "24.2°",
+    "D": "22.6°"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_103.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0104/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "104",
+  "question": "A circularly polarized electromagnetic wave propagating in air has an electric field given by\\[\\vec{E} = E \\left[ \\cos(kz - \\omega t) \\hat{i} + \\sin(kz - \\omega t) \\hat{j} \\right].\\]This wave is incident with an intensity of 150 W/m$^2$ at the polarizing angle $\\theta_p$ onto a flat interface perpendicular to the $xz$-plane with a material that has index of refraction $n = 1.62$.The reflected wave is linearly polarized and the refracted wave is elliptically polarized. $e = \\sqrt{1 - (E_1 / E_2)^2}$. Determine the elliptical eccentricity.",
+  "choices": {
+    "A": "0.449",
+    "B": "0.439",
+    "C": "0.412",
+    "D": "0.521"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_104.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0104/prompt.txt

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+A circularly polarized electromagnetic wave propagating in air has an electric field given by\[\vec{E} = E \left[ \cos(kz - \omega t) \hat{i} + \sin(kz - \omega t) \hat{j} \right].\]This wave is incident with an intensity of 150 W/m$^2$ at the polarizing angle $\theta_p$ onto a flat interface perpendicular to the $xz$-plane with a material that has index of refraction $n = 1.62$.The reflected wave is linearly polarized and the refracted wave is elliptically polarized. $e = \sqrt{1 - (E_1 / E_2)^2}$. Determine the elliptical eccentricity.
+
+A: 0.449
+B: 0.439
+C: 0.412
+D: 0.521
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0116/prompt.txt

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+A compact disc is read from the bottom by a semiconductor laser with wavelength 790 nm passing through a plastic substrate of refractive index 1.8. The part of the beam reflected from a pit cancels the part of the beam reflected from the flat region. What must the minimum pit depth be?
+
+A: 0.11µm
+B: 0.21µm
+C: 0.09µm
+D: 0.32µm
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0129/prompt.txt

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+A farsighted eye has a near point of \(100\,\mathrm{cm}\).A newspaper can be read at a distance of \(25\,\mathrm{cm}\) Assume the lens is very close to the eye. Reading glasses must have what lens power.
+
+A: +5.0D
+B: +2.0D
+C: +3.0D
+D: +4.0D
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0142/prompt.txt

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+Two flat mirrors are perpendicular to each other. An incoming beam of light makes an angle with the first mirror. What angle will the outgoing beam make with the second mirror?
+
+A: 55°
+B: 65°
+C: 75°
+D: 45°
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0145/prompt.txt

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+We wish to determine the depth of a swimming pool filled with water.And then noting that the far bottom edge of the pool is just visible. Calculate the depth of the pool.
+
+A: 6.12m
+B: 6.08m
+C: 6.04m
+D: 6.00m
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0150/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "150",
+  "question": "A parallel beam of light containing two wavelengths, \\(\\lambda_1 = 455\\,\\mathrm{nm}\\) and \\(\\lambda_2 = 642\\,\\mathrm{nm}\\). At what angles\\(\\theta_1\\)does each beam leave the prism?",
+  "choices": {
+    "A": "67.3°",
+    "B": "69.2°",
+    "C": "68.1°",
+    "D": "66.1°"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_150.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0157/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "157",
+  "question": "A gas thermometer as shown in figure. The pressure difference between the two bulbs is measured by a mercury manometer as shown. Appropriate reservoirs, not shown in the diagram, maintain constant gas volume in the two bulbs. There is no difference in pressure when both baths are at the triple point of water. The pressure difference is 120 \\text{torr} when one bath is at the triple point and the other is at the boiling point of water. It is 90.0 \\text{ torr} when one bath is at the triple point and the other is at an unknown temperature to be measured. What is the unknown temperature?",
+  "choices": {
+    "A": "330 K",
+    "B": "336 K",
+    "C": "342 K",
+    "D": "348 K"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_157.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0159/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "159",
+  "question": "A $4.0\\;cm$-diameter flower is $200\\;cm$ from the $50\\;cm$-focal-length lens of a camera. What is the diameter of the image on the detector?",
+  "choices": {
+    "A": "1.5cm",
+    "B": "1.3cm",
+    "C": "1.7cm",
+    "D": "1.9cm"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_159.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0161/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "161",
+  "question": "Figure shows a small lightbulb suspended at distance $d_1 = 250 \\text{ cm}$ above the surface of the water in a swimming pool where the water depth is $d_2 = 200 \\text{cm}$. How far below the mirror surface is the image of the bulb?",
+  "choices": {
+    "A": "314 cm",
+    "B": "326 cm",
+    "C": "338 cm",
+    "D": "351 cm"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_161.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0166/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "166",
+  "question": "A vibrating string \\( 50.0\\,\\text{cm} \\) long is under a tension of \\( 1.00\\,\\text{N} \\). The results from five successive stroboscopic pictures are shown in \\textbf{figure}. The strobe rate is set at \\( 5000 \\) flashes per minute, and observations reveal that the maximum displacement occurred at flashes 1 and 5 with no other maxima in between. What is the mass of this string?",
+  "choices": {
+    "A": "18.5g",
+    "B": "16.5g",
+    "C": "19.5g",
+    "D": "48.5g"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_166.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0168/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "168",
+  "question": "A submerged scuba diver hears the sound of a boat horn directly above her on the surface of the lake. At the same time, a friend on dry land also hears the horn (\\textbf{figure}). The horn is \\( 1.2\\,\\text{m} \\) above the surface of the water. Both air and water are at \\( 20^{\\circ}\\text{C} \\). What is the distance (labeled “?”) from the horn to the diver?",
+  "choices": {
+    "A": "90.8m",
+    "B": "94.8m",
+    "C": "85.8m",
+    "D": "65.8m"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_168.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0171/prompt.txt

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+Two train whistles, \( A \) and \( B \), each have a frequency of \( 392\,\text{Hz} \). No wind is blowing. What is the frequency from \( A \) as heard by the listener?
+
+A: 375Hz
+B: 380Hz
+C: 896Hz
+D: 385Hz
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0185/prompt.txt

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+A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a sound standing wave in an open-open tube. As figure shows, both ends of the rod are anti-nodes. What is the fundamental frequency of a $2.0 \, \text{m}$-long aluminum rod?
+
+A: 3.21 kHz
+B: 0.805 kHz
+C: 0.343 kHz
+D: 1.6 kHz
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0189/prompt.txt

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+A sound wave that enters the human ear sets the eardrum into oscillation. The ossicles transmit this oscillation to the fluid (mostly water) in the inner ear; there the fluid motion disturbs hair cells that send nerve impulses to the brain with information about the sound. The area of the moving part of the eardrum is about \( 43 \, \mathrm{mm^2} \), and that of the stapes (the smallest of the ossicles) where it connects to the inner ear is about \( 3.2 \, \mathrm{mm^2} \). For the speed of sound is \( 344 \, \mathrm{m/s} \) and the bulk modulus is \( 1.42 \times 10^5 \, \mathrm{Pa} \),the speed of sound in the inner ear is \( 1500 \, \mathrm{m/s} \). Determine the displacement amplitude of the wave in the fluid of the inner ear, in which the speed of sound is \( 1500 \, \mathrm{m/s} \).
+
+A: $4.4 \times 10^{-11}\
+B: $4.4 \times 10^{-10}\
+C: $4.4 \times 10^{-12}\
+D: $4.0 \times 10^{-11}\
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0192/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "192",
+  "question": "A directional loudspeaker directs a sound wave of wavelength \\lambda at a wall. At what distances from the wall could you stand and hear no sound at all?",
+  "choices": {
+    "A": "d = \\frac{\\lambda}{4}",
+    "B": "d = \\frac{\\lambda}{2}",
+    "C": "d = \\frac{\\lambda}{8}",
+    "D": "d = \\frac{\\lambda}{3}"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_192.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0195/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "195",
+  "question": "The listener is moving away from the siren. What frequency does the listener hear?",
+  "choices": {
+    "A": "272Hz",
+    "B": "274Hz",
+    "C": "263Hz",
+    "D": "276Hz"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_195.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0231/prompt.txt

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+A large block \( P \) attached to a light spring executes horizontal, simple harmonic motion as it slides across a frictionless surface with a frequency \( f = 1.50\,\mathrm{Hz} \).The coefficient of static friction between the two is \( \mu_s = 0.600 \).The block \( B \) is not to slip. What maximum amplitude of oscillation can the system have?
+
+A: 6.32cm
+B: 6.42cm
+C: 6.52cm
+D: 6.62cm
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0248/prompt.txt

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+Light from a helium-neon laser ($\lambda = 633\;nm$) illuminates two slits spaced $0.40\;mm$ apart. A viewing screen is $2.0\;m$ behind the slits. What is the distance between the two $m = 2$ dark fringes?
+
+A: 15.8mm
+B: 15.2mm
+C: 16.8mm
+D: 16.2mm
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0277/prompt.txt

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+As shown in figure. What is the phase constant (positive) for SMH with $a(t)$ given in figure if the position function $x(t)$ has the form $x = x_m \cos(\omega t + \phi)$ and $a_s = 4.0$ m/s$^2$?
+
+A: 1.48 rad
+B: 1.65 rad
+C: 2.24 rad
+D: 1.82 rad
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0283/prompt.txt

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+A common device for entertaining a toddler is a jump seat that hangs from the horizontal portion of a doorframe via elastic cords. Assume that only one cord is on each side in spite of the more realistic arrangement shown. When a child is placed in the seat, they both descend by a distance $d_s$ as the cords stretch (treat them as springs). Then the seat is pulled down an extra distance $d_m$ and released, so that the child oscillates vertically, like a block on the end of a spring. Suppose you are the safety engineer for the manufacturer of the seat. You do not want the magnitude of the child's acceleration to exceed $0.20g$ for fear of hurting the child's neck. If $d_m = 10$ cm, what value of $d_s$ corresponds to that acceleration magnitude?
+
+A: 40 cm
+B: 45 cm
+C: 55 cm
+D: 50 cm
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0309/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "309",
+  "question": "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 $k$?",
+  "choices": {
+    "A": "8.0 rad/m",
+    "B": "8.4 rad/m",
+    "C": "8.8 rad/m",
+    "D": "9.2 rad/m"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_309.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0324/prompt.txt

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+Ultrasound, which consists of sound waves with frequencies above the human audible range, can be used to produce an image of the interior of a human body. Moreover, ultrasound can be used to measure the speed of the blood in the body; it does so by comparing the frequency of the ultrasound sent into the body with the frequency of the ultrasound reflected back to the body's surface by the blood. As the blood pulses, this detected frequency varies.
+
+Suppose that an ultrasound image of the arm of a patient shows an artery that is angled at \(\theta = 20^\circ\) to the ultrasound's line of travel. Suppose also that the frequency of the ultrasound reflected by the blood in the artery is increased by a maximum of \(5495\,\mathrm{Hz}\) from the original ultrasound frequency of \(5.000\,000\,\mathrm{MHz}\). The speed of sound in the human arm is \(1540\,\mathrm{m/s}\). What is the maximum speed of the blood?
+
+A: 0.60 m/s
+B: 0.70 m/s
+C: 0.80 m/s
+D: 0.90 m/s
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0331/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "331",
+  "question": "Both sections of the rod have cross-sectional areas of \\( 4.00\\,\\text{cm}^2 \\). The temperature of the copper–steel junction is \\( 65.0^{\\circ}\\text{C} \\) after a steady state has been set up. What is the length \\( L_2 \\) of the steel section?",
+  "choices": {
+    "A": "0.242m",
+    "B": "0.222m",
+    "C": "0.142m",
+    "D": "0.262m"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_331.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0336/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "336",
+  "question": "The graph in \\textbf{figure} shows a $pV$-diagram of the air in a human lung when a person is inhaling and then exhaling a deep breath. Such graphs, obtained in clinical practice, are normally somewhat curved, but we have modeled one as a set of straight lines of the same general shape. \\textit{(Important: The pressure shown is the \\textit{gauge} pressure, \\textit{not} the absolute pressure.)} The process illustrated here is somewhat different from those we have been studying, because the pressure change is due to changes in the amount of gas in the lung, not to temperature changes. (Think of your own breathing. Your lungs do not expand because they’ve gotten hot.) If the temperature of the air in the lung remains a reasonable $20^\\circ \\text{C}$, what is the maximum number of moles in this person’s lung during a breath?",
+  "choices": {
+    "A": "0.069mol",
+    "B": "0.059mol",
+    "C": "0.459mol",
+    "D": "0.055mol"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_336.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0336/prompt.txt

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+The graph in \textbf{figure} shows a $pV$-diagram of the air in a human lung when a person is inhaling and then exhaling a deep breath. Such graphs, obtained in clinical practice, are normally somewhat curved, but we have modeled one as a set of straight lines of the same general shape. \textit{(Important: The pressure shown is the \textit{gauge} pressure, \textit{not} the absolute pressure.)} The process illustrated here is somewhat different from those we have been studying, because the pressure change is due to changes in the amount of gas in the lung, not to temperature changes. (Think of your own breathing. Your lungs do not expand because they’ve gotten hot.) If the temperature of the air in the lung remains a reasonable $20^\circ \text{C}$, what is the maximum number of moles in this person’s lung during a breath?
+
+A: 0.069mol
+B: 0.059mol
+C: 0.459mol
+D: 0.055mol
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0343/prompt.txt

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+\textbf{Figure} shows a $pV$-diagram for $0.0040~\text{mol}$ of \textit{ideal} H$_2$ gas. The temperature of the gas does not change during segment $bc$. What volume does this gas occupy at point $c$?
+
+A: 0.83L
+B: 0.8L
+C: 0.9L
+D: 1.8L
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0353/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "353",
+  "question": "The $pV$-diagram in figure shows the cycle for a refrigerator operating on 0.850 mol of $H_2$. Assume that the gas can be treated as ideal. Process $ab$ is isothermal. Find the coefficient of performance of this refrigerator.",
+  "choices": {
+    "A": "5.12",
+    "B": "6.23",
+    "C": "2.21",
+    "D": "5.05"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_353.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0354/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "354",
+  "question": "You are conducting experiments to study prototype heat engines. In one test, 4.00 mol of argon gas are taken around the cycle shown in figure. The pressure is low enough for the gas to be treated as ideal. You measure the gas temperature in states $a$, $b$, $c$, and $d$ and find $T_a = 250.0$ K, $T_b = 300.0$ K, $T_c = 380.0$ K, and $T_d = 316.7$ K. Calculate the efficiency $e$ of the cycle.",
+  "choices": {
+    "A": "10\\%",
+    "B": "6.25\\%",
+    "C": "5.9\\%",
+    "D": "12.3\\%"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_354.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0362/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "362",
+  "question": "A gas with an initial tempreture of 900\\circ C\\ undergoes the process shown in the figure. What is the final temperature?",
+  "choices": {
+    "A": "3246^\\circ C",
+    "B": "1856^\\circ C",
+    "C": "1596^\\circ C",
+    "D": "2556^\\circ C"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_362.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0365/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "365",
+  "question": "The mercury manometer shown in the figure is attached to a gas cell. The mercury height h is 120 mm when the cell is placed in an ice-water mixture. The mercury height drops to 30 mm when the device is carried into an industrial freezer. What is the freezer temperature?",
+  "choices": {
+    "A": "-28^\\circ C",
+    "B": "-56^\\circ C",
+    "C": "-36^\\circ C",
+    "D": "-84^\\circ C"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_365.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0370/prompt.txt

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+The figure shows two different processes by which 80 mol of gas move from state 1 to state 2. The dashed line is an isotherm. What maximum temperature is reached along the straight-line process?
+
+A: 338K
+B: 556K
+C: 636K
+D: 784K
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0377/prompt.txt

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+The figure shows the velocities of all the molecules in a six-molecule, two-dimensional gas. Calculate and the rms speed v_{\text{rms}}.
+
+A: 12.2m/s
+B: 12.5m/s
+C: 18.2m/s
+D: 10.2m/s
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0384/prompt.txt

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+A piston/cylinder with a cross-sectional area of 0.01 \m^2\ has a piston mass of 100 kg resting on the stops, as shown in the figure. With an outside atmospheric pressure of 100 kPa, what should the water pressure be to lift the piston?
+
+A: 490kPa
+B: 198kPa
+C: 154kPa
+D: 10.2kPa
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0388/prompt.txt

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+A pipe flowing light oil has a manometer attached. What is the absolute pressure in the pipe flow?
+
+A: 490kPa
+B: 106.4kPa
+C: 154kPa
+D: 10.2kPa
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0391/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "391",
+  "question": "A piece of experimental apparatus, figure, is located where $g = 9.5$ m/s$^2$ and the temperature is $5^{\\circ}C$. Air flow inside the apparatus is determined by measuring the pressure drop across an orifice with a mercury manometer showing a height difference of 200 mm. What is the pressure drop in kPa?",
+  "choices": {
+    "A": "490kPa",
+    "B": "25.84kPa",
+    "C": "154kPa",
+    "D": "10.2kPa"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_391.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0396/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "396",
+  "question": "A 5-kg piston in a cylinder with a diameter of 100 mm is loaded with a linear spring and the outside atmospheric pressure is 100 kPa. The spring exerts no force on the piston when it is at the bottom of the cylinder, and for the state shown, the pressure is 400 kPa with volume 0.4 L. The valve is opened to let some air in, causing the piston to rise 2 cm. Find the new pressure.",
+  "choices": {
+    "A": "4MPa",
+    "B": "515.3kPa",
+    "C": "154kPa",
+    "D": "10.2kPa"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_396.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0398/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "398",
+  "question": "A pressure cooker has the lid screwed on tight. A small opening with A= 5 $mm^2$ is covered with a petcock that can be lifted to let steam escape. How much mass should the petcock have to allow boiling at 120◦C with an outside atmosphere at 101.3 kPa?",
+  "choices": {
+    "A": "40g",
+    "B": "50g",
+    "C": "60g",
+    "D": "70g"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_398.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0421/prompt.txt

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+This problem involves calculating the amount of heat exhausted to the cold reservoir by a heat engine operating in a closed $p$-$V$ cycle. How much heat is exhausted to the cold reservoir by the heat engine shown in figure?
+
+A: 30 J
+B: 315 J
+C: 255 J
+D: 285 J
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0458/prompt.txt

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+An insulated cylinder is divided into two parts of $1 \, \text{m}^3$ each by an initially locked piston, as shown in figure. Side $A$ has air at $200 \, \text{kPa}$, $300 \, \text{K}$, and side $B$ has air at $1.0 \, \text{MPa}$, $1000 \, \text{K}$. The piston is now unlocked so that it is free to move, and it conducts heat so that the air comes to a uniform temperature $T_A = T_B$. Find the final $P$.
+
+A: 400 kPa
+B: 1000 kPa
+C: 500 kPa
+D: 613 kPa
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0502/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "502",
+  "question": "Figure shows the probability density for an electron that has passed through an experimental apparatus. What is the probability that the electron will land in a \\( 0.010\\text{-mm} \\)-wide strip at \\( x = 0.000\\text{ mm} \\)?",
+  "choices": {
+    "A": "\\( 3.0 \\times 10^{-4} \\)",
+    "B": "\\( 3.0 \\times 10^{-3} \\)",
+    "C": "\\( 5.0 \\times 10^{-3} \\)",
+    "D": "\\( 5.0 \\times 10^{-4} \\)"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_502.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0505/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "505",
+  "question": "Figure shows \\( |\\psi(x)|^2 \\) for the electrons in an experiment. If \\( 10^4 \\) electrons are detected, how many are expected to land in the interval \\( -0.30 \\text{ cm} \\leq x \\leq 0.30 \\text{ cm} \\)?",
+  "choices": {
+    "A": "500",
+    "B": "1000",
+    "C": "900",
+    "D": "1300"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_505.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0515/prompt.txt

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+The graph in figure shows the stopping potential as a function of the frequency of the incident light falling on a metal surface. Find the photoelectric work function for this metal.
+
+A: \( 5.6 \text{ eV} \)
+B: \( 2.9 \text{ eV} \)
+C: \( 3.2 \text{ eV} \)
+D: \( 4.8 \text{ eV} \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0519/prompt.txt

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+In a set of experiments on a hypothetical one-electron atom, you measure the wavelengths of the photons emitted from transitions ending in the ground state \( n = 1 \), as shown in the energy-level diagram in figure. You also observe that it takes \( 17.50 \text{ eV} \) to ionize this atom. If an electron made a transition from the \( n = 4 \) to the \( n = 2 \) level, what wavelength of light would it emit?
+
+A: \( 323 \text{ nm} \)
+B: \( 456 \text{ nm} \)
+C: \( 423 \text{ nm} \)
+D: \( 378 \text{ nm} \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0526/prompt.txt

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+A moving rod is observed to have a length of \( \ell = 2.00 \, \text{m} \) and to be oriented at an angle of \( \theta = 30.0^\circ \) with respect to the direction of motion as shown in figure. The rod has a speed of \( 0.995c \). What is the orientation angle in the proper frame?
+
+A: \( 2.50^\circ \)
+B: \( 2.80^\circ \)
+C: \( 3.00^\circ \)
+D: \( 3.30^\circ \)
+
+Answer: D