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M-4_phyx_data-generator/phyx_task/phyx_0011/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "11",
+  "question": "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 \\)?",
+  "choices": {
+    "A": "\\( 1.90^\\circ \\)",
+    "B": "\\( 4.12^\\circ \\)",
+    "C": "\\( 2.83^\\circ \\)",
+    "D": "\\( 3.07^\\circ \\)"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_11.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0016/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "16",
+  "question": "The light beam in figure strikes surface 2 at the critical angle. Determine the angle of incidence \\( \\theta_1 \\).",
+  "choices": {
+    "A": "\\( 11.5^{\\circ} \\)",
+    "B": "\\( 27.5^{\\circ} \\)",
+    "C": "\\( 42.5^{\\circ} \\)",
+    "D": "\\( 19.5^{\\circ} \\)"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_16.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0018/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "18",
+  "question": "A material is surrounded by vacuum and is in the shape of a quarter circle as shown in figure. A light ray parallel to the base of the material is incident from the left and emerges from the material at the angle \\( \\theta \\). Determine an expression for \\( \\theta \\) in terms of \\( n \\), \\( R \\), and \\( L \\).",
+  "choices": {
+    "A": "\\( \\sin^{-1}\\left[n\\sin\\left(\\tan^{-1}\\frac{L}{R} - \\sin^{-1}\\frac{L}{nR}\\right)\\right] \\)",
+    "B": "\\( \\sin^{-1}\\left[n\\cos\\left(\\sin^{-1}\\frac{L}{R} - \\sin^{-1}\\frac{L}{nR}\\right)\\right] \\)",
+    "C": "\\( \\sin^{-1}\\left[n\\sin\\left(\\sin^{-1}\\frac{L}{R} - \\sin^{-1}\\frac{L}{nR}\\right)\\right] \\)",
+    "D": "\\( \\sin^{-1}\\left[n\\sin\\left(\\sin^{-1}\\frac{L}{R} - \\cos^{-1}\\frac{L}{nR}\\right)\\right] \\)"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_18.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0020/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "20",
+  "question": "A transparent cylinder of radius \\( R = 2.00 \\text{ m} \\) as shown in figure. A light ray traveling in air is incident on the left side of the cylinder. The incident light ray and exiting light ray are parallel, and \\( d = 2.00 \\text{ m} \\). Determine the index of refraction of the material.",
+  "choices": {
+    "A": "1.77",
+    "B": "1.52",
+    "C": "1.93",
+    "D": "1.87"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_20.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0027/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "27",
+  "question": "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' \\).",
+  "choices": {
+    "A": "\\( -27.1 \\text{ cm} \\)",
+    "B": "\\( -19.6 \\text{ cm} \\)",
+    "C": "\\( -18.5 \\text{ cm} \\)",
+    "D": "\\( -23.3 \\text{ cm} \\)"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_27.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0029/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "29",
+  "question": "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?",
+  "choices": {
+    "A": "\\( +0.539 \\text{ diopters} \\)",
+    "B": "\\( +0.517 \\text{ diopters} \\)",
+    "C": "\\( +0.824 \\text{ diopters} \\)",
+    "D": "\\( +0.667 \\text{ diopters} \\)"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_29.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0033/prompt.txt

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+A parallel beam of light enters a glass hemisphere perpendicular to the flat face as shown in Figure. The magnitude of the radius of the hemisphere is \( R = 6.00 \text{ cm} \), and its index of refraction is \( n = 1.560 \). Assuming paraxial rays, determine the point at which the beam is focused.
+
+A: \( 14.4 \text{ cm} \)
+B: \( 5.2 \text{ cm} \)
+C: \( 6.2 \text{ cm} \)
+D: \( 10.7 \text{ cm} \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0037/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "37",
+  "question": "Sunlight reflects off the smooth surface of a swimming pool. For what angle of reflection is the reflected light completely polarized?",
+  "choices": {
+    "A": "60.0^\\circ",
+    "B": "53.1^\\circ",
+    "C": "68.0^\\circ",
+    "D": "67.4^\\circ"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_37.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0045/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "45",
+  "question": "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.",
+  "choices": {
+    "A": "-35cm",
+    "B": "-48cm",
+    "C": "-37cm",
+    "D": "-43cm"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_45.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0075/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "75",
+  "question": "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}?",
+  "choices": {
+    "A": "1.47mm",
+    "B": "2.26mm",
+    "C": "2.0mm",
+    "D": "1.95mm"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_75.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0081/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "81",
+  "question": "Figure is a graph of intensity versus angular position $\theta$ for the diffraction of an x-ray beam by a crystal. The horizontal scale is set by $\theta_s = 2.00^\\circ$. 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?",
+  "choices": {
+    "A": "30pm",
+    "B": "35pm",
+    "C": "38pm",
+    "D": "25pm"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_81.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0089/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "89",
+  "question": "In figure, the waves along rays 1 and 2 are initially in phase, with the same wavelength \\( \\lambda \\) in air. Ray 2 goes through a material and index of refraction \\( n \\). The rays are then reflected by mirrors to a common point \\( P \\) on a screen. Suppose that we can vary \\( n \\) from \\( n = 1.0 \\) to \\( n = 2.5 \\). Suppose also that, from \\( n = 1.0 \\) to \\( n = n_s = 1.5 \\), the intensity \\( I \\) of the light at point \\( P \\) varies with \\( n \\) as given in figure. What multiple of \\( \\lambda \\) gives the phase difference between the rays at point \\( P \\) when \\( n = 2.0 \\)?",
+  "choices": {
+    "A": "0.75λ",
+    "B": "1.50λ",
+    "C": "1.25λ",
+    "D": "2.50λ"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_89.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0111/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "111",
+  "question": "Figure is a diagram of a Galilean telescope,or opera glass, with both the object and its final image at infinity. The image $I$ serves as a virtual object for the eyepiece. The final image is virtual and erect. The Galilean telescope has an angular magnification of -6.33. What focal length should the eyepiece have?",
+  "choices": {
+    "A": "-15.0cm",
+    "B": "-14.0cm",
+    "C": "-13.0cm",
+    "D": "-12.0cm"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_111.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0118/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "118",
+  "question": "A tone with frequency $f$ is emitted from a small source at the center of one end of this tube. Depending on the radius of the tube and the frequency of the tone, pressure nodes can develop along the tube axis where rays reflected from the periphery constructively interfere with direct rays. The tube were filled with helium rather than air. What the value of $d$?",
+  "choices": {
+    "A": "11.3cm",
+    "B": "13.1cm",
+    "C": "12.3cm",
+    "D": "13.2cm"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_118.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0120/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "120",
+  "question": "Monochromatic light with wavelength $\\lambda$ is incident on a screen with three narrow slits. Light from the middle slit reaches point $P$ with electric field $E \\cos(\\omega t)$. From the small-angle approximation, light from the upper and lower slits reaches point $P$ with electric fields $E \\cos(\\omega t + \\phi)$ and $E \\cos(\\omega t - \\phi)$, respectively, where $\\phi = (2\\pi d \\sin \theta) / \\lambda$ is the phase lag and phase lead associated with the different path lengths. What is the distance from the central maximum to the closest absolute maximum?",
+  "choices": {
+    "A": "3.25mm",
+    "B": "3.32mm",
+    "C": "3.12mm",
+    "D": "3.34mm°"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_120.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0127/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "127",
+  "question": "A soap bubble appears green \\(\\lambda=540\\,\\mathrm{nm})\\) at the point on its front surface nearest the viewer. Assume \\(n=1.35\\). What is the smallest thickness the soap bubble film could have?",
+  "choices": {
+    "A": "98nm",
+    "B": "96nm",
+    "C": "100nm",
+    "D": "102nm"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_127.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0139/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "139",
+  "question": "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.",
+  "choices": {
+    "A": "+0.24",
+    "B": "+0.34",
+    "C": "+0.44",
+    "D": "+0.54"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_139.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0143/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "143",
+  "question": "An aquarium filled with water has flat glass sides whose index of refraction is \\(1.54\\). A beam of light from outside the aquarium strikes the glass.The ray entered the water directly. What would be the refracted angle?",
+  "choices": {
+    "A": "$41.2^{\\circ}$",
+    "B": "$21.2^{\\circ}$",
+    "C": "$31.2^{\\circ}$",
+    "D": "$36.2^{\\circ}$"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_143.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0144/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "144",
+  "question": "A lighted candle is placed in front of a converging lens, which in turn is in front of another converging lens. Calculate the relative size of the final image.",
+  "choices": {
+    "A": "$0.56 \\times x$",
+    "B": "$0.36 \\times x$",
+    "C": "$0.46 \\times x$",
+    "D": "$0.40 \\times x$"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_144.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0148/prompt.txt

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+A converging lens with a focal length of \(12.0\,\mathrm{cm}\) is in the right of the diverging lens. The two-lens system forms a real inverted image in the right of the converging lens. What is the focal length of the diverging lens?
+
+A: -23.0cm
+B: -21.0cm
+C: -19.0cm
+D: -17.0cm
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0152/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "152",
+  "question": "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.",
+  "choices": {
+    "A": "1.004008",
+    "B": "1.004828",
+    "C": "1.004328",
+    "D": "1.005018"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_152.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0155/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "155",
+  "question": "A laser beam is aimed at a $1.0\\;cm$-thick sheet of glass. What is the laser beam's direction of travel in the glass?",
+  "choices": {
+    "A": "$35.3^\\circ$",
+    "B": "$32.3^\\circ$",
+    "C": "$33.3^\\circ$",
+    "D": "$17.2^\\circ$"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_155.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0163/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "163",
+  "question": "In figure, $S$ is an isotropic point source of light and the light intensity $I_P$ at point $P$ (level with $S$) is measured. Then a plane mirror is placed behind $S$. By how much is $I_P$ multiplied by the presence of the mirror?",
+  "choices": {
+    "A": "0.95",
+    "B": "1.0",
+    "C": "1.05",
+    "D": "1.11"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_163.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0163/prompt.txt

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+In figure, $S$ is an isotropic point source of light and the light intensity $I_P$ at point $P$ (level with $S$) is measured. Then a plane mirror is placed behind $S$. By how much is $I_P$ multiplied by the presence of the mirror?
+
+A: 0.95
+B: 1.0
+C: 1.05
+D: 1.11
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0164/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "164",
+  "question": "Figure is a mirror maze based on floor sections. Every wall within the maze is mirrored. Maze monsters a, b, and c hiding in the maze. If you stand at entrance $x$, how many times does each visible monster appear in a hallway?",
+  "choices": {
+    "A": "6",
+    "B": "5",
+    "C": "4",
+    "D": "3"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_164.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0164/prompt.txt

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+Figure is a mirror maze based on floor sections. Every wall within the maze is mirrored. Maze monsters a, b, and c hiding in the maze. If you stand at entrance $x$, how many times does each visible monster appear in a hallway?
+
+A: 6
+B: 5
+C: 4
+D: 3
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0170/prompt.txt

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+Two loudspeakers, \( A \) and \( B \) (\textbf{figure}), are driven by the same amplifier and emit sinusoidal waves in phase. Consider point \( Q \) along the extension of the line connecting the speakers, \( 1.00\,\text{m} \) to the right of speaker \( B \). Both speakers emit sound waves that travel directly from the speaker to point \( Q \). What is the lowest frequency for which \textit{destructive} interference occurs at point \( Q \)?
+
+A: 86Hz
+B: 80Hz
+C: 896Hz
+D: 85Hz
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0184/prompt.txt

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+The tube of figure has a insert that can be pulled in and out. A vibrating tuning fork is held next to the tube. As the insert is slowly pulled out, the sound from the tuning fork creates standing waves in the tube when the total length $L$ is $42.5 \, \text{cm}$, $56.7 \, \text{cm}$, and $70.9 \, \text{cm}$.Assume $v_{\text{sound}} = 343 \, \text{m/s}$. What is the frequency of the tuning fork?
+
+A: 2.415 kHz
+B: 0.605 kHz
+C: 0.807 kHz
+D: 12.1 kHz
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0188/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "188",
+  "question": "A rope is tied to a support at the top of a mine shaft. The rope is stretched taut by a box of rocks attached at the bottom.A geologist at the bottom of the shaft signals to a colleague at the top by jerking the rope sideways. What is the speed of a transverse wave on the rope?",
+  "choices": {
+    "A": "88.5m/s",
+    "B": "78.3m/s",
+    "C": "69.9m/s",
+    "D": "78.8m/s"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_188.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0190/prompt.txt

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+A ship uses a sonar system to locate underwater objects. Find the wavelength of a \( 262 \, \mathrm{Hz} \) wave.
+
+A: 5.64m
+B: 6.45m
+C: 5.46m
+D: 6.54m
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0197/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "197",
+  "question": "The police car is moving toward a warehouse. What frequency does the driver hear reflected from the warehouse?",
+  "choices": {
+    "A": "377Hz",
+    "B": "358Hz",
+    "C": "342Hz",
+    "D": "367Hz"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_197.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0197/prompt.txt

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+The police car is moving toward a warehouse. What frequency does the driver hear reflected from the warehouse?
+
+A: 377Hz
+B: 358Hz
+C: 342Hz
+D: 367Hz
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0198/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "198",
+  "question": "The speed of sound is 320 \\, \\mathrm{m/s}.The plane passes directly overhead. How long will you hear the sonic boom?",
+  "choices": {
+    "A": "23.1s",
+    "B": "20.5s",
+    "C": "19.2s",
+    "D": "18.9s"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_198.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0199/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "199",
+  "question": "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?",
+  "choices": {
+    "A": "$7.5\\times10^4\\",
+    "B": "$6.5\\times10^3\\",
+    "C": "$5.5\\times10^4\\",
+    "D": "$6.5\\times10^4\\"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_199.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0201/prompt.txt

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+The animal emits a pulse of sound which, after reflection from objects, returns and is detected by the animal. Echolocation waves can have frequencies of about 100{,}000\,\mathrm{Hz}.An obstacle is 100\,\mathrm{m} from the animal. How long after the animal emits a wave is its reflection detected?
+
+A: 0.20s
+B: 0.18s
+C: 0.16s
+D: 0.14s
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0205/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "205",
+  "question": "A diving board oscillates with simple harmonic motion of frequency \\( 2.8 \\) cycles per second. The end of the board must oscillate with an amplitude small enough that a pebble placed there does not lose contact with it during the motion. What is the maximum amplitude?",
+  "choices": {
+    "A": "$4.2\\times10^{-2}\\",
+    "B": "$3.2\\times10^{-3}\\",
+    "C": "$2.2\\times10^{-2}\\",
+    "D": "$3.2\\times10^{-2}\\"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_205.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0212/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "212",
+  "question": "The sound level measured \\( 30\\,\\mathrm{m} \\) from a jet plane is \\( 140\\,\\mathrm{dB} \\).(Ignore reflections from the ground.) Estimate the sound level at \\( 300\\,\\mathrm{m} \\).",
+  "choices": {
+    "A": "160dB",
+    "B": "140dB",
+    "C": "100dB",
+    "D": "120dB"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_212.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0215/original/question.json

@@ -0,0 +1,14 @@
+{
+  "dataset": "PhyX",
+  "source_id": "215",
+  "question": "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?",
+  "choices": {
+    "A": "3.52s",
+    "B": "6.52s",
+    "C": "5.52s",
+    "D": "4.52s"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_215.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0223/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "223",
+  "question": "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?",
+  "choices": {
+    "A": "615Hz",
+    "B": "675Hz",
+    "C": "655Hz",
+    "D": "635Hz"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_223.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0224/original/question.json

@@ -0,0 +1,14 @@
+{
+  "dataset": "PhyX",
+  "source_id": "224",
+  "question": "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?",
+  "choices": {
+    "A": "62Hz",
+    "B": "56Hz",
+    "C": "44Hz",
+    "D": "50Hz"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_224.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0239/prompt.txt

@@ -0,0 +1,8 @@
+Assume the waves move in straight lines through uniform material. The S waves travel through the Earth more slowly than the P waves (at about \( 5\,\mathrm{km/s} \) versus \( 8\,\mathrm{km/s} \)). How many detection stations are necessary to locate the focus unambiguously?
+
+A: 5
+B: 4
+C: 2
+D: 3
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0247/original/question.json

@@ -0,0 +1,14 @@
+{
+  "dataset": "PhyX",
+  "source_id": "247",
+  "question": "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?",
+  "choices": {
+    "A": "$150\\;MHz$",
+    "B": "$100\\;MHz$",
+    "C": "$200\\;MHz$",
+    "D": "$120\\;MHz$"
+  },
+  "answer": "A",
+  "original_image_filename": "phyx_247.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0277/original/question.json

@@ -0,0 +1,14 @@
+{
+  "dataset": "PhyX",
+  "source_id": "277",
+  "question": "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$^2$?",
+  "choices": {
+    "A": "1.48 rad",
+    "B": "1.65 rad",
+    "C": "2.24 rad",
+    "D": "1.82 rad"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_277.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0283/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "283",
+  "question": "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?",
+  "choices": {
+    "A": "40 cm",
+    "B": "45 cm",
+    "C": "55 cm",
+    "D": "50 cm"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_283.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0312/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "312",
+  "question": "Figure shows two isotropic point sources of sound, $S_1$ and $S_2$. The sources emit waves in phase at wavelength $0.50$ m; they are separated by $D = 1.75$ m. If we move a sound detector along a large circle centered at the midpoint between the sources, at how many points do waves arrive at the detector exactly out of phase?",
+  "choices": {
+    "A": "11",
+    "B": "12",
+    "C": "13",
+    "D": "14"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_312.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0315/original/question.json

@@ -0,0 +1,14 @@
+{
+  "dataset": "PhyX",
+  "source_id": "315",
+  "question": "In figure, sound with a $40.0$ cm wavelength travels rightward from a source and through a tube that consists of a straight portion and a half-circle. Part of the sound wave travels through the half-circle and then rejoins the rest of the wave, which goes directly through the straight portion. This rejoining results in interference. What is the smallest radius $r$ that results in an intensity minimum at the detector?",
+  "choices": {
+    "A": "10 cm",
+    "B": "12.5 cm",
+    "C": "15 cm",
+    "D": "17.5 cm"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_315.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0323/original/question.json

@@ -0,0 +1,14 @@
+{
+  "dataset": "PhyX",
+  "source_id": "323",
+  "question": "In figure, sound of wavelength $0.850$ m is emitted isotropically by point source $S$. $L = 10.0$ m. That reflection occurs on a perpendicular bisector to the $SD$ line, at distance $d$ from the line. Assume that the reflection shifts the sound wave by $0.500\\lambda$. For what least value of $d$ (other than zero) do the direct sound and the reflected sound arrive at $D$ exactly in phase?",
+  "choices": {
+    "A": "1.18 m",
+    "B": "1.23 m",
+    "C": "1.35 m",
+    "D": "1.47 m"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_323.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0342/prompt.txt

@@ -0,0 +1,8 @@
+Three moles of an ideal gas are taken around cycle $acb$ shown in \textbf{figure}. For this gas, $C_p = 29.1~\text{J/mol} \cdot \text{K}$. Process $ac$ is at constant pressure, process $ba$ is at constant volume, and process $cb$ is adiabatic. The temperatures of the gas in states $a$, $c$, and $b$ are $T_a = 300~\text{K}$, $T_c = 492~\text{K}$, and $T_b = 600~\text{K}$. Calculate the total work $W$ for the cycle.
+
+A: -1.65 \times 10^{3}J
+B: -1.95 \times 10^{3}J
+C: 1.95 \times 10^{3}J
+D: -1.45 \times 10^{3}J
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0349/original/question.json

@@ -0,0 +1,14 @@
+{
+  "dataset": "PhyX",
+  "source_id": "349",
+  "question": "What is the thermal efficiency of an engine that takes $n$ moles of diatomic ideal gas through the cycle $1 \\rightarrow 2 \\rightarrow 3 \\rightarrow 4 \\rightarrow 1$ shown in figure?",
+  "choices": {
+    "A": "10\\%",
+    "B": "10.5\\%",
+    "C": "15.9\\%",
+    "D": "12.3\\%"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_349.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0351/original/question.json

@@ -0,0 +1,14 @@
+{
+  "dataset": "PhyX",
+  "source_id": "351",
+  "question": "A heat engine operates using the cycle shown in figure. The working substance is 2.00 mol of helium gas, which reaches a maximum temperature of $327^{\\circ}C$. Assume the helium can be treated as an ideal gas. Process $bc$ is isothermal. The pressure in states $a$ and $c$ is $1.00 \\times 10^5$ Pa, and the pressure in state $b$ is $3.00 \\times 10^5$ Pa. What is its efficiency?",
+  "choices": {
+    "A": "10\\%",
+    "B": "8.7\\%",
+    "C": "15.9\\%",
+    "D": "12.3\\%"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_351.png",
+  "has_embedded_choices": false
+}