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  1. M-4_phyx_data-generator/phyx_task/phyx_0001/prompt.txt +8 -0
  2. M-4_phyx_data-generator/phyx_task/phyx_0008/prompt.txt +8 -0
  3. M-4_phyx_data-generator/phyx_task/phyx_0023/original/question.json +14 -0
  4. M-4_phyx_data-generator/phyx_task/phyx_0024/original/question.json +14 -0
  5. M-4_phyx_data-generator/phyx_task/phyx_0037/prompt.txt +8 -0
  6. M-4_phyx_data-generator/phyx_task/phyx_0042/prompt.txt +8 -0
  7. M-4_phyx_data-generator/phyx_task/phyx_0089/prompt.txt +8 -0
  8. M-4_phyx_data-generator/phyx_task/phyx_0102/original/question.json +14 -0
  9. M-4_phyx_data-generator/phyx_task/phyx_0105/original/question.json +14 -0
  10. M-4_phyx_data-generator/phyx_task/phyx_0130/prompt.txt +8 -0
  11. M-4_phyx_data-generator/phyx_task/phyx_0133/original/question.json +14 -0
  12. M-4_phyx_data-generator/phyx_task/phyx_0134/original/question.json +14 -0
  13. M-4_phyx_data-generator/phyx_task/phyx_0137/prompt.txt +8 -0
  14. M-4_phyx_data-generator/phyx_task/phyx_0140/prompt.txt +8 -0
  15. M-4_phyx_data-generator/phyx_task/phyx_0147/prompt.txt +8 -0
  16. M-4_phyx_data-generator/phyx_task/phyx_0149/prompt.txt +8 -0
  17. M-4_phyx_data-generator/phyx_task/phyx_0151/original/question.json +14 -0
  18. M-4_phyx_data-generator/phyx_task/phyx_0156/original/question.json +14 -0
  19. M-4_phyx_data-generator/phyx_task/phyx_0158/original/question.json +14 -0
  20. M-4_phyx_data-generator/phyx_task/phyx_0160/original/question.json +14 -0
  21. M-4_phyx_data-generator/phyx_task/phyx_0167/original/question.json +14 -0
  22. M-4_phyx_data-generator/phyx_task/phyx_0169/original/question.json +14 -0
  23. M-4_phyx_data-generator/phyx_task/phyx_0176/prompt.txt +8 -0
  24. M-4_phyx_data-generator/phyx_task/phyx_0193/original/question.json +14 -0
  25. M-4_phyx_data-generator/phyx_task/phyx_0194/original/question.json +14 -0
  26. M-4_phyx_data-generator/phyx_task/phyx_0202/prompt.txt +8 -0
  27. M-4_phyx_data-generator/phyx_task/phyx_0205/prompt.txt +8 -0
  28. M-4_phyx_data-generator/phyx_task/phyx_0216/original/question.json +14 -0
  29. M-4_phyx_data-generator/phyx_task/phyx_0229/original/question.json +14 -0
  30. M-4_phyx_data-generator/phyx_task/phyx_0233/prompt.txt +8 -0
  31. M-4_phyx_data-generator/phyx_task/phyx_0270/prompt.txt +8 -0
  32. M-4_phyx_data-generator/phyx_task/phyx_0284/prompt.txt +8 -0
  33. M-4_phyx_data-generator/phyx_task/phyx_0301/original/question.json +14 -0
  34. M-4_phyx_data-generator/phyx_task/phyx_0302/prompt.txt +8 -0
  35. M-4_phyx_data-generator/phyx_task/phyx_0305/prompt.txt +8 -0
  36. M-4_phyx_data-generator/phyx_task/phyx_0306/original/question.json +14 -0
  37. M-4_phyx_data-generator/phyx_task/phyx_0308/original/question.json +14 -0
  38. M-4_phyx_data-generator/phyx_task/phyx_0330/original/question.json +14 -0
  39. M-4_phyx_data-generator/phyx_task/phyx_0337/original/question.json +14 -0
  40. M-4_phyx_data-generator/phyx_task/phyx_0339/original/question.json +14 -0
  41. M-4_phyx_data-generator/phyx_task/phyx_0344/prompt.txt +8 -0
  42. M-4_phyx_data-generator/phyx_task/phyx_0352/original/question.json +14 -0
  43. M-4_phyx_data-generator/phyx_task/phyx_0355/original/question.json +14 -0
  44. M-4_phyx_data-generator/phyx_task/phyx_0363/original/question.json +14 -0
  45. M-4_phyx_data-generator/phyx_task/phyx_0364/original/question.json +14 -0
  46. M-4_phyx_data-generator/phyx_task/phyx_0372/prompt.txt +8 -0
  47. M-4_phyx_data-generator/phyx_task/phyx_0381/prompt.txt +8 -0
  48. M-4_phyx_data-generator/phyx_task/phyx_0386/prompt.txt +8 -0
  49. M-4_phyx_data-generator/phyx_task/phyx_0390/original/question.json +14 -0
  50. M-4_phyx_data-generator/phyx_task/phyx_0397/original/question.json +14 -0
M-4_phyx_data-generator/phyx_task/phyx_0001/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ A ray of light travels into another medium, making an angle of \( \theta_1 = 45.0^{\circ} \) with the normal as in figure. Find the angle of refraction \( \theta_2 \) if the second medium is water.
2
+
3
+ A: \( 22.7^{\circ} \)
4
+ B: \( 31.4^{\circ} \)
5
+ C: \( 32.0^{\circ} \)
6
+ D: \( 33.5^{\circ} \)
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0008/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread of visible light passing through a prism of apex angle \( 60.0^\circ \) if the angle of incidence is \( 50.0^\circ \)? See figure.
2
+
3
+ A: \( 4.37^\circ \)
4
+ B: \( 8.74^\circ \)
5
+ C: \( 4.61^\circ \)
6
+ D: \( 2.11^\circ \)
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0023/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "23",
4
+ "question": "A light ray enters a rectangular block of plastic at an angle \\( \\theta_1 = 45.0^{\\circ} \\) and emerges at an angle \\( \\theta_2 = 76.0^{\\circ} \\) as shown in figure. If the light ray enters the plastic at a point \\( L = 50.0 \\text{ cm} \\) from the bottom edge, what time interval is required for the light ray to travel through the plastic?",
5
+ "choices": {
6
+ "A": "\\( 2.85 \\text{ ns} \\)",
7
+ "B": "\\( 3.91 \\text{ ns} \\)",
8
+ "C": "\\( 3.40 \\text{ ns} \\)",
9
+ "D": "\\( 4.12 \\text{ ns} \\)"
10
+ },
11
+ "answer": "C",
12
+ "original_image_filename": "phyx_23.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0024/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "24",
4
+ "question": "Figure shows a top view of a square enclosure. The inner surfaces are plane mirrors. A ray of light enters a small hole in the center of one mirror. At what angle \\( \\theta \\) must the ray enter if it exits through the hole after being reflected once by each of the other three mirrors?",
5
+ "choices": {
6
+ "A": "\\( 15.0^{\\circ} \\)",
7
+ "B": "\\( 60.0^{\\circ} \\)",
8
+ "C": "\\( 45.0^{\\circ} \\)",
9
+ "D": "\\( 30.0^{\\circ} \\)"
10
+ },
11
+ "answer": "C",
12
+ "original_image_filename": "phyx_24.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0037/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ Sunlight reflects off the smooth surface of a swimming pool. For what angle of reflection is the reflected light completely polarized?
2
+
3
+ A: 60.0^\circ
4
+ B: 53.1^\circ
5
+ C: 68.0^\circ
6
+ D: 67.4^\circ
7
+
8
+ Answer: B
M-4_phyx_data-generator/phyx_task/phyx_0042/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ If you look straight down into a swimming pool where it is 2.00 m deep, how deep does it appear to be?
2
+
3
+ A: 0.856m
4
+ B: 1.5m
5
+ C: 0.995m
6
+ D: 1.814m
7
+
8
+ Answer: B
M-4_phyx_data-generator/phyx_task/phyx_0089/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ 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 \( n = 2.0 \)?
2
+
3
+ A: 0.75λ
4
+ B: 1.50λ
5
+ C: 1.25λ
6
+ D: 2.50λ
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0102/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "102",
4
+ "question": "Light is incident in air on the upper surface of a transparent plate, the surfaces of the plate being plane and parallel to each other.A ray of light is incident at an angle of $66.0^\\circ$ on one surface of a glass plate $2.40 \\, \\text{cm}$ thick with an index of refraction of $1.80$. The medium on either side of the plate is air. Find the lateral displacement between the incident and emergent rays.",
5
+ "choices": {
6
+ "A": "1.62cm",
7
+ "B": "1.54cm",
8
+ "C": "1.75cm",
9
+ "D": "1.59cm"
10
+ },
11
+ "answer": "A",
12
+ "original_image_filename": "phyx_102.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0105/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "105",
4
+ "question": "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 $I_p$?",
5
+ "choices": {
6
+ "A": "20W/m^2",
7
+ "B": "15W/m^2",
8
+ "C": "25W/m^2",
9
+ "D": "30W/m^2"
10
+ },
11
+ "answer": "A",
12
+ "original_image_filename": "phyx_105.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0130/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ A nearsighted eye has near and far points. What lens power is needed for this person to see distant objects clearly?
2
+
3
+ A: -5.3D
4
+ B: -6.3D
5
+ C: -6.7D
6
+ D: -5.6D
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0133/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "133",
4
+ "question": "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?",
5
+ "choices": {
6
+ "A": "0.72m",
7
+ "B": "0.78m",
8
+ "C": "0.84m",
9
+ "D": "0.92m"
10
+ },
11
+ "answer": "C",
12
+ "original_image_filename": "phyx_133.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0134/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "134",
4
+ "question": "Two converging lenses, A and B, with focal lengths \\(f_A = 20.0\\,\\mathrm{cm}\\) and \\(f_B = 25.0\\,\\mathrm{cm}\\), are placed apart. An object is placed \\(60.0\\,\\mathrm{cm}\\) in front of the first lens. Determine the magnification of the final image formed by the combination of the two lenses.",
5
+ "choices": {
6
+ "A": "-0.30",
7
+ "B": "-0.40",
8
+ "C": "-0.50",
9
+ "D": "-0.60"
10
+ },
11
+ "answer": "C",
12
+ "original_image_filename": "phyx_134.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0137/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ A swimmer has dropped her goggles to the bottom of a pool at the shallow end. But the goggles don't look that deep.And you look straight down into the water. How deep do the goggles appear to be?
2
+
3
+ A: 0.79m
4
+ B: 0.77m
5
+ C: 0.75m
6
+ D: 0.73m
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0140/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ A \(1.00\,\mathrm{cm}\)-high object is placed \(10.0\,\mathrm{cm}\) from a concave mirror whose radius of curvature is \(30.0\,\mathrm{cm}\). Determine the magnification analytically.
2
+
3
+ A: +2.00
4
+ B: +4.00
5
+ C: +3.00
6
+ D: +5.00
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0147/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ If no liquid covers the prism's hypotenuse, total internal reflection of the beam from the light source produces a large signal in the light sensor. If liquid covers the hypotenuse, some light escapes from the prism into the liquid and the light sensor's signal decreases. Thus a large signal from the light sensor indicates the absence of liquid in the reservoir. Determine the allowable range for the prism's index of refraction \(n\).
2
+
3
+ A: $1.41 < n < 1.98$
4
+ B: $1.31 < n < 1.88$
5
+ C: $1.41 < n < 1.88$
6
+ D: $1.51 < n < 1.78$
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0149/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ In (a) the lens is \(5\,\mathrm{cm}\) from the paper, and in (b) the lens is \(15\,\mathrm{cm}\) from the paper. Estimate the focal length of the lens.
2
+
3
+ A: 8cm
4
+ B: 12cm
5
+ C: 10cm
6
+ D: 14cm
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0151/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "151",
4
+ "question": "A thin film of oil with varying thickness floats on water. When it is illuminated from above by white light, the reflected colors are as shown.In air, the wavelength of yellow light is \\(580\\,\\mathrm{nm}\\). What is the oil's thickness \\(t\\) at point B?",
5
+ "choices": {
6
+ "A": "270nm",
7
+ "B": "280nm",
8
+ "C": "290nm",
9
+ "D": "300nm"
10
+ },
11
+ "answer": "C",
12
+ "original_image_filename": "phyx_151.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0156/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "156",
4
+ "question": "In a certain experiment, a small radioactive source must move at selected, extremely slow speeds. This motion is accomplished by fastening the source to one end of an aluminum rod and heating the central section of the rod in a controlled way. If the effective heated section of the rod in figure has length $d = 2.00 \\, \\mathrm{cm}$, at what constant rate must the temperature of the rod be changed if the source is to move at a constant speed of 100 nm/s?",
5
+ "choices": {
6
+ "A": "0.195 K/s",
7
+ "B": "0.204 K/s",
8
+ "C": "0.212 K/s",
9
+ "D": "0.217 K/s"
10
+ },
11
+ "answer": "D",
12
+ "original_image_filename": "phyx_156.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0158/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "158",
4
+ "question": "A fish and a sailor look at each other through a $5.0\\;cm$-thick glass porthole in a submarine. There happens to be an air bubble right in the center of the glass. How far behind the surface of the glass does the air bubble appear to the fish?",
5
+ "choices": {
6
+ "A": "2.0cm",
7
+ "B": "2.2cm",
8
+ "C": "1.7cm",
9
+ "D": "1.5cm"
10
+ },
11
+ "answer": "B",
12
+ "original_image_filename": "phyx_158.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0160/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "160",
4
+ "question": "An object is moved along the central axis of a spherical mirror while the lateral magnification $m$ of it is measured. Figure gives $m$ versus object distance $p$ for the range $p_a = 2.0 \\text{cm}$ to $p_b = 8.0 \\text{cm}$. What is $m$ for $p = 14.0 \\text{cm}$?",
5
+ "choices": {
6
+ "A": "-4",
7
+ "B": "-3.5",
8
+ "C": "-3",
9
+ "D": "-2.5"
10
+ },
11
+ "answer": "D",
12
+ "original_image_filename": "phyx_160.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0167/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "167",
4
+ "question": "A deep-sea diver is suspended beneath the surface of Loch Ness by a cable that is attached to a boat on the surface (\\textbf{figure}). The diver and his suit have a volume of \\( 0.0800\\,\\text{m}^3 \\). The cable has a diameter of \\( 2.00\\,\\text{cm} \\) and a linear mass density of \\( \\mu = 1.10\\,\\text{kg/m} \\). The diver thinks he sees something moving in the murky depths and jerks the end of the cable back and forth to send transverse waves up the cable as a signal to his companions in the boat. What is the tension in the cable at its lower end, where it is attached to the diver?",
5
+ "choices": {
6
+ "A": "392N",
7
+ "B": "452N",
8
+ "C": "332N",
9
+ "D": "372N"
10
+ },
11
+ "answer": "A",
12
+ "original_image_filename": "phyx_167.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0169/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "169",
4
+ "question": "Small speakers \\( A \\) and \\( B \\) are driven in phase at \\( 725\\,\\text{Hz} \\) by the same audio oscillator. The speaker \\( A \\) is slowly moved away (\\textbf{figure}). At what distance \\( d \\) will the sound from the speakers first produce destructive interference at the listener’s location?",
5
+ "choices": {
6
+ "A": "0.237m",
7
+ "B": "0.336m",
8
+ "C": "0.569m",
9
+ "D": "0.414m"
10
+ },
11
+ "answer": "A",
12
+ "original_image_filename": "phyx_169.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0176/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ Figure shows a standing wave oscillating at $100 \, \text{Hz}$ on a string. What is the wave speed?
2
+
3
+ A: 15 m/s
4
+ B: 60 m/s
5
+ C: 50 m/s
6
+ D: 30 m/s
7
+
8
+ Answer: D
M-4_phyx_data-generator/phyx_task/phyx_0193/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "193",
4
+ "question": "A police car's siren emits a sinusoidal wave with frequency f_S = 300 \\, \\mathrm{Hz}. The speed of sound is 340 \\, \\mathrm{m/s} and the air is still. Find the wavelengths of the waves in front of the siren.",
5
+ "choices": {
6
+ "A": "1.03m",
7
+ "B": "1.24m",
8
+ "C": "2.06m",
9
+ "D": "2.32m"
10
+ },
11
+ "answer": "A",
12
+ "original_image_filename": "phyx_193.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0194/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "194",
4
+ "question": "The siren is moving away from L. What frequency does the listener hear?",
5
+ "choices": {
6
+ "A": "267Hz",
7
+ "B": "276Hz",
8
+ "C": "283Hz",
9
+ "D": "296Hz"
10
+ },
11
+ "answer": "B",
12
+ "original_image_filename": "phyx_194.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0202/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ She fires a bullet into a 4.148\,\mathrm{kg} wooden block resting on a smooth surface, and attached to a spring of spring constant \( k = 162.7\,\mathrm{N/m} \). The bullet, whose mass is 7.870\,\mathrm{g}, remains embedded in the wooden block. What is the speed \( v \) of the bullet?
2
+
3
+ A: 302.6m/s
4
+ B: 332.6m/s
5
+ C: 322.6m/s
6
+ D: 312.6m/s
7
+
8
+ Answer: D
M-4_phyx_data-generator/phyx_task/phyx_0205/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ 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?
2
+
3
+ A: $4.2\times10^{-2}\
4
+ B: $3.2\times10^{-3}\
5
+ C: $2.2\times10^{-2}\
6
+ D: $3.2\times10^{-2}\
7
+
8
+ Answer: D
M-4_phyx_data-generator/phyx_task/phyx_0216/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "216",
4
+ "question": "A fireworks shell explodes above the ground, creating colorful sparks. The sound of the explosion for a person directly beneath the blast is compared to that for a person located away horizontally. How much greater is the sound level?",
5
+ "choices": {
6
+ "A": "13dB",
7
+ "B": "11dB",
8
+ "C": "9dB",
9
+ "D": "7dB"
10
+ },
11
+ "answer": "D",
12
+ "original_image_filename": "phyx_216.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0229/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "229",
4
+ "question": "A small ball is attached to the end of a uniform rod of equal mass \\( M \\) that is pivoted at the top.\\( L = 2.00\\,\\mathrm{m} \\). Determine this period.",
5
+ "choices": {
6
+ "A": "5.68s",
7
+ "B": "4.68s",
8
+ "C": "3.68s",
9
+ "D": "2.68s"
10
+ },
11
+ "answer": "D",
12
+ "original_image_filename": "phyx_229.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0233/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ A pendulum has a spring of force constant connected to it at a distance below its point of suspension. Assume the vertical suspension rod of length \( L \) is rigid, but ignore its mass. Find the frequency of vibration of the system for small values of the amplitude (small \( \theta \)).
2
+
3
+ A: $\frac{1}{2\pi L} \sqrt{gL + \frac{kh}{M^2}}$
4
+ B: $\frac{1}{2\pi L} \sqrt{gL + \frac{k^2h}{M}}$
5
+ C: $\frac{1}{2\pi L} \sqrt{gL + \frac{k}{Mh^2}}$
6
+ D: $\frac{1}{2\pi L} \sqrt{gL + \frac{kh^2}{M}}$
7
+
8
+ Answer: D
M-4_phyx_data-generator/phyx_task/phyx_0270/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ In figure, a $2.50\ kg$ disk of diameter $D = 42.0\ cm$ is supported by a rod of length $L = 76.0\ cm$ and negligible mass that is pivoted at its end. What is the torsion constant of the spring if the period of oscillation has been decreased by $0.500\ s$?
2
+
3
+ A: $16.5\ N \cdot m/rad$
4
+ B: $17.5\ N \cdot m/rad$
5
+ C: $18.5\ N \cdot m/rad$
6
+ D: $19.5\ N \cdot m/rad$
7
+
8
+ Answer: C
M-4_phyx_data-generator/phyx_task/phyx_0284/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ In figure, a $2500$ kg demolition ball swings. The length of the swinging segment of cable is $17$ m. Find the period of the swinging, assuming that the system can be treated as a simple pendulum.
2
+
3
+ A: 7.6 s
4
+ B: 8.0 s
5
+ C: 8.7 s
6
+ D: 8.3 s
7
+
8
+ Answer: D
M-4_phyx_data-generator/phyx_task/phyx_0301/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "301",
4
+ "question": "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?",
5
+ "choices": {
6
+ "A": "4.2 cm/s",
7
+ "B": "4.5 cm/s",
8
+ "C": "4.7 cm/s",
9
+ "D": "5.0 cm/s"
10
+ },
11
+ "answer": "D",
12
+ "original_image_filename": "phyx_301.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0302/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ Figure shows transverse acceleration \(a_y\) versus time \(t\) of the point on a string at \(x = 0\), as a wave in the form of \(y(x, t) = y_m \sin(kx - \omega t + \phi)\) passes through that point. The scale of the vertical axis is set by \(a_s = 400\,\mathrm{m/s^2}\). What is \(\phi\) (positive)?
2
+
3
+ A: 2.0 rad
4
+ B: 2.3 rad
5
+ C: 2.6 rad
6
+ D: 2.9 rad
7
+
8
+ Answer: D
M-4_phyx_data-generator/phyx_task/phyx_0305/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ A certain transverse sinusoidal wave of wavelength $20$ cm is moving in the positive direction of an $x$ axis. The transverse velocity of the particle at $x = 0$ as a function of time is shown in figure, where the scale of the vertical axis is set by $u_s = 5.0$ cm/s. What is the amplitude?
2
+
3
+ A: 2.0 cm
4
+ B: 2.4 cm
5
+ C: 2.8 cm
6
+ D: 3.2 cm
7
+
8
+ Answer: D
M-4_phyx_data-generator/phyx_task/phyx_0306/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "306",
4
+ "question": "In figure, a circular loop of string is set spinning about the center point in a place with negligible gravity. The radius is $4.00$ cm and the tangential speed of a string segment is $5.00$ cm/s. The string is plucked. At what speed do transverse waves move along the string?",
5
+ "choices": {
6
+ "A": "4.4 cm/s",
7
+ "B": "4.6 cm/s",
8
+ "C": "4.8 cm/s",
9
+ "D": "5.0 cm/s"
10
+ },
11
+ "answer": "D",
12
+ "original_image_filename": "phyx_306.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0308/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "308",
4
+ "question": "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.",
5
+ "choices": {
6
+ "A": "$4^\\circ$",
7
+ "B": "$7^\\circ$",
8
+ "C": "$10^\\circ$",
9
+ "D": "$13^\\circ$"
10
+ },
11
+ "answer": "D",
12
+ "original_image_filename": "phyx_308.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0330/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "330",
4
+ "question": "In figure, a point source $S$ of sound waves lies near a reflecting wall $AB$. A sound detector $D$ intercepts sound ray $R_1$. It also intercepts sound ray $R_2$ such that the angle of incidence $\\theta_i$ is equal to the angle of reflection $\\theta_r$. Assume that the reflection of sound by the wall causes a phase shift of $0.500\\lambda$. If the distances are $d_1 = 2.50$ m, $d_2 = 20.0$ m, and $d_3 = 12.5$ m, what is the second lowest frequency at which $R_1$ and $R_2$ are in phase at $D$?",
5
+ "choices": {
6
+ "A": "98 Hz",
7
+ "B": "102 Hz",
8
+ "C": "109 Hz",
9
+ "D": "118 Hz"
10
+ },
11
+ "answer": "D",
12
+ "original_image_filename": "phyx_330.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0337/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "337",
4
+ "question": "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?",
5
+ "choices": {
6
+ "A": "58J",
7
+ "B": "53J",
8
+ "C": "33J",
9
+ "D": "63J"
10
+ },
11
+ "answer": "B",
12
+ "original_image_filename": "phyx_337.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0339/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "339",
4
+ "question": "\\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?",
5
+ "choices": {
6
+ "A": "15J",
7
+ "B": "0J",
8
+ "C": "25J",
9
+ "D": "32J"
10
+ },
11
+ "answer": "B",
12
+ "original_image_filename": "phyx_339.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0344/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ One-third of a mole of He gas is taken along the path $abc$ shown in \textbf{figure}. Assume that the gas may be treated as ideal. How much heat is transferred into or out of the gas?
2
+
3
+ A: 1.65 \times 10^{3}J
4
+ B: 3 \times 10^{3}J
5
+ C: 1.95 \times 10^{3}J
6
+ D: -1.45 \times 10^{3}J
7
+
8
+ Answer: B
M-4_phyx_data-generator/phyx_task/phyx_0352/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "352",
4
+ "question": "A monatomic ideal gas is taken around the cycle shown in figure in the direction shown in the figure. The path for process $c \\rightarrow a$ is a straight line in the $pV$-diagram. What is the efficiency of the cycle?",
5
+ "choices": {
6
+ "A": "10\\%",
7
+ "B": "11.1\\%",
8
+ "C": "15.9\\%",
9
+ "D": "12.3\\%"
10
+ },
11
+ "answer": "B",
12
+ "original_image_filename": "phyx_352.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0355/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "355",
4
+ "question": "In an ideal Stirling engine, $n$ moles of an ideal gas are isothermally compressed, pressurized at constant volume, allowed to expand isothermally, and then cooled at constant volume, as shown in figure. The expansion takes place at temperature $T_H$ and the compression at temperature $T_C$. An ideal Stirling engine uses 1 mole of helium as its working substance and has a CR of 10, temperature reservoirs at $100^{\\circ}C$ and $20^{\\circ}C$, and a frequency of operation of 100 Hz. What is its power output?",
5
+ "choices": {
6
+ "A": "203kW",
7
+ "B": "153kW",
8
+ "C": "156kW",
9
+ "D": "143kW"
10
+ },
11
+ "answer": "B",
12
+ "original_image_filename": "phyx_355.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0363/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "363",
4
+ "question": "0.020 mol of gas undergoes the process shown in the figure What is the final temperature?",
5
+ "choices": {
6
+ "A": "458^\\circ C",
7
+ "B": "756^\\circ C",
8
+ "C": "356^\\circ C",
9
+ "D": "584^\\circ C"
10
+ },
11
+ "answer": "A",
12
+ "original_image_filename": "phyx_363.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0364/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "364",
4
+ "question": "The pipe in the figure is closed at the top end. It is slowly pushed straight down into the water until the top end of the pipe is level with the water’s surface. What is the length of the trapped air?",
5
+ "choices": {
6
+ "A": "2.4m",
7
+ "B": "2.2m",
8
+ "C": "2.0m",
9
+ "D": "2.1m"
10
+ },
11
+ "answer": "A",
12
+ "original_image_filename": "phyx_364.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0372/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ 0.10\,\text{g} of helium gas follows the process \( 1 \rightarrow 2 \rightarrow 3 \) shown in figure. Find the value of \( T_1 \).
2
+
3
+ A: -29^\circ C
4
+ B: 556^\circ C
5
+ C: 636^\circ C
6
+ D: 784^\circ C
7
+
8
+ Answer: A
M-4_phyx_data-generator/phyx_task/phyx_0381/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ The hydraulic piston/cylinder system shown in the figure has a cylinder diameter of D=0.1 m with a piston and rod mass of 25 kg. The rod has a diameter of 0.01 m with an outside atmospheric pressure of 101 kPa. The inside hydraulic fluid pressure is 250 kPa. How large a force can the rod push with in the upward direction?
2
+
3
+ A: 490N
4
+ B: 932.9N
5
+ C: 154N
6
+ D: 10.2N
7
+
8
+ Answer: B
M-4_phyx_data-generator/phyx_task/phyx_0386/prompt.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ A steel tank of cross-sectional area 3 \m^2\ and height 16 m weighs 10 000 kg and is open at the top, as shown in the figure. We want to float it in the ocean so that it is positioned straight down by pouring concrete into its bottom. How much concrete should we use?
2
+
3
+ A: 490kg
4
+ B: 19910kg
5
+ C: 154kg
6
+ D: 10.2kg
7
+
8
+ Answer: B
M-4_phyx_data-generator/phyx_task/phyx_0390/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "390",
4
+ "question": "Two piston/cylinder arrangements, A and B, have their gas chambers connected by a pipe, as shown in figure. The cross-sectional areas are $A_A = 75$ cm$^2$ and $A_B = 25$ cm$^2$, with the piston mass in A being $m_A = 25$ kg. Assume an outside pressure of 100 kPa and standard gravitation. Find the mass $m_B$ so that none of the pistons have to rest on the bottom.",
5
+ "choices": {
6
+ "A": "490kg",
7
+ "B": "8.33kg",
8
+ "C": "154kg",
9
+ "D": "10.2kg"
10
+ },
11
+ "answer": "B",
12
+ "original_image_filename": "phyx_390.png",
13
+ "has_embedded_choices": false
14
+ }
M-4_phyx_data-generator/phyx_task/phyx_0397/original/question.json ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "dataset": "PhyX",
3
+ "source_id": "397",
4
+ "question": "Two tanks are connected as shown in figure, both containing water. Tank A is at 200 kPa, $v = 0.5$ m$^3$/kg, $V_A = 1$ m$^3$, and tank B contains 3.5 kg at 0.5 MPa and $400^{\\circ}C$. The valve is now opened and the two tanks come to a uniform state. Find the final specific volume.",
5
+ "choices": {
6
+ "A": "0.5963$ m$^3$/kg",
7
+ "B": "0.5746$ m$^3$/kg",
8
+ "C": "0.5024$ m$^3$/kg",
9
+ "D": "0.5123$ m$^3$/kg"
10
+ },
11
+ "answer": "B",
12
+ "original_image_filename": "phyx_397.png",
13
+ "has_embedded_choices": false
14
+ }