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M-4_phyx_data-generator/phyx_task/phyx_0011/prompt.txt

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+Consider a light ray traveling between air and a diamond cut in the shape shown in figure If the light ray entering the diamond remains vertical as shown in figure, what angle of rotation should the diamond in the water be rotated about an axis perpendicular to the page through \( O \) so that light will first exit the diamond at \( P \)?
+
+A: \( 1.90^\circ \)
+B: \( 4.12^\circ \)
+C: \( 2.83^\circ \)
+D: \( 3.07^\circ \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0016/prompt.txt

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+The light beam in figure strikes surface 2 at the critical angle. Determine the angle of incidence \( \theta_1 \).
+
+A: \( 11.5^{\circ} \)
+B: \( 27.5^{\circ} \)
+C: \( 42.5^{\circ} \)
+D: \( 19.5^{\circ} \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0027/prompt.txt

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+In figure, a thin converging lens of focal length 14.0 cm forms an image of the square \( abcd \), which is \( h_c = h_b = 10.0 \text{ cm} \) high and lies between distances of \( p_d = 20.0 \text{ cm} \) and \( p_a = 30.0 \text{ cm} \) from the lens. Let \( a' \), \( b' \), \( c' \), and \( d' \) represent the respective corners of the image. Let \( q_a \) represent the image distance for points \( a' \) and \( b' \), \( q_d \) represent the image distance for points \( c' \) and \( d' \),\( h_b' \) represent the distance from point \( b' \) to the axis, and \( h_c' \) represent the height of \( c' \). Find \( h_c' \).
+
+A: \( -27.1 \text{ cm} \)
+B: \( -19.6 \text{ cm} \)
+C: \( -18.5 \text{ cm} \)
+D: \( -23.3 \text{ cm} \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0029/prompt.txt

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+A person is to be fitted with bifocals. She can see clearly when the object is between 30 cm and 1.5 m from the eye. The lower portions of the bifocals should enable her to see objects located 25 cm in front of the eye. What power should they have?
+
+A: \( +0.539 \text{ diopters} \)
+B: \( +0.517 \text{ diopters} \)
+C: \( +0.824 \text{ diopters} \)
+D: \( +0.667 \text{ diopters} \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0075/prompt.txt

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+The normal human eye has maximum visual acuity with a pupil diameter of about 3\ \mathrm{mm}. For larger pupils, acuity decreases due to increasing aberrations; for smaller pupils, acuity decreases due to increasing diffraction. If your pupil diameter is 2.0\ \mathrm{mm}, as it would be in bright light, what is the smallest-diameter circle that you should be able to see as a circle, rather than just an unresolved blob, on an eye chart at the standard distance of 20\ \mathrm{ft}?
+
+A: 1.47mm
+B: 2.26mm
+C: 2.0mm
+D: 1.95mm
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0081/prompt.txt

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+Figure is a graph of intensity versus angular position $	heta$ for the diffraction of an x-ray beam by a crystal. The horizontal scale is set by $	heta_s = 2.00^\circ$. The beam consists of two wavelengths, and the spacing between the reflecting planes is $0.94 \, \text{nm}$. What is the longer wavelengths in the beam?
+
+A: 30pm
+B: 35pm
+C: 38pm
+D: 25pm
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0105/prompt.txt

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+A beam of light traveling horizontally is made of an unpolarized component with intensity $I_0$ and a polarized component with intensity $I_p$. The plane of polarization of the polarized component is oriented at an angle $\theta$ with respect to the vertical. What are the values of $I_p$?
+
+A: 20W/m^2
+B: 15W/m^2
+C: 25W/m^2
+D: 30W/m^2
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0132/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "132",
+  "question": "The two stars that can just be resolved by the Arecibo radiotelescope, whose diameter is \\(300\\,\\mathrm{m}\\) and whose radius of curvature is also \\(300\\,\\mathrm{m}\\). Assume \\(\\lambda = 4\\,\\mathrm{cm}\\) What is the theoretical minimum angular separation of two stars?",
+  "choices": {
+    "A": "$1.6\\times10^{-5}\\",
+    "B": "$1.6\\times10^{-3}\\",
+    "C": "$1.6\\times10^{-4}\\",
+    "D": "$1.7\\times10^{-4}\\"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_132.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0132/prompt.txt

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+The two stars that can just be resolved by the Arecibo radiotelescope, whose diameter is \(300\,\mathrm{m}\) and whose radius of curvature is also \(300\,\mathrm{m}\). Assume \(\lambda = 4\,\mathrm{cm}\) What is the theoretical minimum angular separation of two stars?
+
+A: $1.6\times10^{-5}\
+B: $1.6\times10^{-3}\
+C: $1.6\times10^{-4}\
+D: $1.7\times10^{-4}\
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0133/prompt.txt

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+A convex meniscus lens is made from glass with \(n = 1.50\). The surface on the right is concave with radius of curvature \(46\,\mathrm{cm}\). What is the focal length?
+
+A: 0.72m
+B: 0.78m
+C: 0.84m
+D: 0.92m
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0135/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "135",
+  "question": "A watchman shines a narrow beam of light from his flashlight, above the water level, onto the surface of the water at the edge of the pool. Measure from the bottom of the wall beneath his foot. Where does the spot of light hit the bottom of the pool?",
+  "choices": {
+    "A": "5.0m",
+    "B": "4.7m",
+    "C": "4.4m",
+    "D": "5.3m"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_135.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0135/prompt.txt

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+A watchman shines a narrow beam of light from his flashlight, above the water level, onto the surface of the water at the edge of the pool. Measure from the bottom of the wall beneath his foot. Where does the spot of light hit the bottom of the pool?
+
+A: 5.0m
+B: 4.7m
+C: 4.4m
+D: 5.3m
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0215/prompt.txt

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+An ocean fishing boat is drifting just above a school of tuna on a foggy day.Without warning, an engine backfire occurs on another boat. How much time elapses before the backfire is heard by the fishermen?
+
+A: 3.52s
+B: 6.52s
+C: 5.52s
+D: 4.52s
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0223/prompt.txt

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+The water level is allowed to drop slowly. As it does so, the air in the tube above the water level is heard to resonate with the tuning fork when the distance from the tube opening to the water level is \( 0.125\,\mathrm{m} \) and again at \( 0.395\,\mathrm{m} \). What is the frequency of the tuning fork?
+
+A: 615Hz
+B: 675Hz
+C: 655Hz
+D: 635Hz
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0224/prompt.txt

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+The most popular alpenhorn is about \( 3.4\,\mathrm{m} \) long, and it is called the F\# (or G\flat) horn.Model as a tube open at both ends. What is the fundamental frequency of this horn?
+
+A: 62Hz
+B: 56Hz
+C: 44Hz
+D: 50Hz
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0247/prompt.txt

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+Your firm has been hired to design a system that allows airplane pilots to make instrument landings in rain or fog. These two transmitters will broadcast the same frequency, but out of phase with each other. This will cause a nodal line to extend straight off the end of the runway. As long as the airplane's receiver is silent, the pilot knows she's directly in line with the runway. If she drifts to one side or the other, the radio will pick up a signal and sound a warning beep. What frequency should you specify for the transmitters?
+
+A: $150\;MHz$
+B: $100\;MHz$
+C: $200\;MHz$
+D: $120\;MHz$
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0300/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "300",
+  "question": "Figure shows the displacement $y$ versus time $t$ of the point on a string at $x = 0$, as a wave passes through that point. The scale of the $y$ axis is set by $y_s = 6.0$ mm. The wave is given by $y(x, t) = y_m \\sin(kx - \\omega t + \\phi)$. What is $\\phi$ (positive)?",
+  "choices": {
+    "A": "0.4 rad",
+    "B": "0.7 rad",
+    "C": "1.4 rad",
+    "D": "2.8 rad"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_300.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0300/prompt.txt

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+Figure shows the displacement $y$ versus time $t$ of the point on a string at $x = 0$, as a wave passes through that point. The scale of the $y$ axis is set by $y_s = 6.0$ mm. The wave is given by $y(x, t) = y_m \sin(kx - \omega t + \phi)$. What is $\phi$ (positive)?
+
+A: 0.4 rad
+B: 0.7 rad
+C: 1.4 rad
+D: 2.8 rad
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0301/prompt.txt

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+A single pulse, given by $h(x - 5.0t)$, is shown in figure for $t = 0$. The scale of the vertical axis is set by $h_s = 2$. Here $x$ is in centimeters and $t$ is in seconds. What is the speed of travel of the pulse?
+
+A: 4.2 cm/s
+B: 4.5 cm/s
+C: 4.7 cm/s
+D: 5.0 cm/s
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0307/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "307",
+  "question": "A continuous traveling wave with amplitude $A$ is incident on a boundary. The continuous reflection, with a smaller amplitude $B$, travels back through the incoming wave. The resulting interference pattern is displayed in figure. The standing wave ratio is defined to be $$SWR = \\frac{A + B}{A - B}.$$ The reflection coefficient $R$ is the ratio of the power of the reflected wave to the power of the incoming wave and is thus proportional to the ratio $(B/A)^2$. For SWR = $1.50$, what is $R$ expressed as a percentage?",
+  "choices": {
+    "A": "3.2%",
+    "B": "3.5%",
+    "C": "3.8%",
+    "D": "4.0%"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_307.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0307/prompt.txt

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+A continuous traveling wave with amplitude $A$ is incident on a boundary. The continuous reflection, with a smaller amplitude $B$, travels back through the incoming wave. The resulting interference pattern is displayed in figure. The standing wave ratio is defined to be $$SWR = \frac{A + B}{A - B}.$$ The reflection coefficient $R$ is the ratio of the power of the reflected wave to the power of the incoming wave and is thus proportional to the ratio $(B/A)^2$. For SWR = $1.50$, what is $R$ expressed as a percentage?
+
+A: 3.2%
+B: 3.5%
+C: 3.8%
+D: 4.0%
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0308/prompt.txt

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+One clue used by your brain to determine the direction of a source of sound is the time delay $\Delta t$ between the arrival of the sound at the ear closer to the source and the arrival at the farther ear. Assume that the source is distant so that a wavefront from it is approximately planar when it reaches you, and let $D$ represent the separation between your ears. Based on the time-delay clue, your brain interprets the submerged sound to arrive at an angle $\theta$ from the forward direction. Evaluate $\theta$ for fresh water at $20^\circ$C.
+
+A: $4^\circ$
+B: $7^\circ$
+C: $10^\circ$
+D: $13^\circ$
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0309/prompt.txt

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+Figure shows the output from a pressure monitor mounted at a point along the path taken by a sound wave of a single frequency traveling at $343$ m/s through air with a uniform density of $1.21$ kg/m$^3$. The vertical axis scale is set by $\Delta p_s = 4.0$ mPa. If the displacement function of the wave is $s(x, t) = s_m \cos(kx - \omega t)$, what is $k$?
+
+A: 8.0 rad/m
+B: 8.4 rad/m
+C: 8.8 rad/m
+D: 9.2 rad/m
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0337/prompt.txt

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+The process $abc$ shown in the $pV$-diagram in \textbf{figure} involves $0.0175$ mol of an ideal gas. How much work was done by or on the gas from $a$ to $b$? From $b$ to $c$? (c) If $215~\text{J}$ of heat was put into the gas during $abc$, how many of those joules went into internal energy?
+
+A: 58J
+B: 53J
+C: 33J
+D: 63J
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0338/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "338",
+  "question": "The $pV$-diagram in \\textbf{figure} shows a process $abc$ involving $0.450$ mol of an ideal gas. How much heat had to be added during the process to increase the internal energy of the gas by $15{,}000~\\text{J}$?",
+  "choices": {
+    "A": "3.4 \\times 10^5J",
+    "B": "3.6 \\times 10^4J",
+    "C": "2.6 \\times 10^4J",
+    "D": "3.2 \\times 10^4J"
+  },
+  "answer": "B",
+  "original_image_filename": "phyx_338.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0338/prompt.txt

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+The $pV$-diagram in \textbf{figure} shows a process $abc$ involving $0.450$ mol of an ideal gas. How much heat had to be added during the process to increase the internal energy of the gas by $15{,}000~\text{J}$?
+
+A: 3.4 \times 10^5J
+B: 3.6 \times 10^4J
+C: 2.6 \times 10^4J
+D: 3.2 \times 10^4J
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0339/prompt.txt

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+\textbf{Figure} shows the $pV$-diagram for a process in which the temperature of the ideal gas remains constant at $85^\circ\text{C}$. By how much did the internal energy of the gas change during this process?
+
+A: 15J
+B: 0J
+C: 25J
+D: 32J
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0443/prompt.txt

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+A $1 \, \text{m}^3$ rigid tank with air at $1 \, \text{MPa}$ and $400 \, \text{K}$ is connected to an air line as shown in figure. The valve is opened and air flows into the tank until the pressure reaches $5 \, \text{MPa}$, at which point the valve is closed and the temperature inside is $450 \, \text{K}$. The tank eventually cools to room temperature, $300 \, \text{K}$. What is the pressure inside the tank then?
+
+A: 1.00 MPa
+B: 5.00 MPa
+C: 2.67 MPa
+D: 3.33 MPa
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0472/prompt.txt

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+The compression ratio of a diesel engine is 15.0 to 1.The initial volume of the cylinder is 1.00 L = 1.00 \times 10^{-3} m^3.Use the values C_V = 20.8 J/mol\cdot K and \gamma = 1.400 for air. How much work does the gas do during the compression?
+
+A: -453J
+B: -494J
+C: 494J
+D: 453J
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0475/prompt.txt

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+A partition divides a thermally insulated box into two compartments. Initially, one compartment contains $n$ moles of an ideal gas at temperature $T$, and the other compartment is evacuated. We break the partition and the gas expands, filling both compartments. What is the entropy change in this free-expansion process?
+
+A: nR \ln 3$
+B: nR \ln 2$
+C: nR \ln 1$
+D: nR \ln 4$
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0481/prompt.txt

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+A refrigerator using helium gas operates on a reversed Brayton cycle with a pressure ratio of \(5.0\). Prior to compression, the gas occupies \(100\,\mathrm{cm^3}\) at a pressure of \(150\,\mathrm{kPa}\) and a temperature of \(-23^\circ\mathrm{C}\). Its volume at the end of the expansion is \(80\,\mathrm{cm^3}\). It operates at \(60\) cycles per second. What are the refrigerator's power input?
+
+A: 390W
+B: 400W
+C: 410W
+D: 420W
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0486/prompt.txt

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+The \(1.20\,\mathrm{kg}\) head of a hammer has a speed of \(7.5\,\mathrm{m/s}\) just before it strikes a nail and is brought to rest. A\(14\,\mathrm{g}\) iron nail is struck by eight such hammer blows done in quick succession. Assume the nail absorbs all the energy. Estimate how much the temperature rises.
+
+A: 28°C
+B: 52°C
+C: 34°C
+D: 43°C
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0550/prompt.txt

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+A particle is confined between two impenetrable walls as shown in the figure. The wave function describing the particle's state is $\psi = cx(l-x)$, where $c$ is an undetermined constant. Calculate the probability of finding the particle in the interval from $0$ to $\frac{1}{3}l$.
+
+A: \[ \frac{11}{72} \]
+B: \[ \frac{35}{72} \]
+C: \[ \frac{37}{81} \]
+D: \[ \frac{17}{81} \]
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0551/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "551",
+  "question": "An atom of uranium (\\( m = 3.9529 \\times 10^{-25} \\) kg) at rest decays spontaneously into an atom of helium (\\( m = 6.6465 \\times 10^{-27} \\) kg) and an atom of thorium (\\( m = 3.8864 \\times 10^{-25} \\) kg). The helium atom is observed to move in the positive \\( x \\) direction with a velocity of \\( 1.423 \\times 10^7 \\) m/s as shown in figure. Find the total kinetic energy of the two atoms after the decay.",
+  "choices": {
+    "A": "\\( 6.09 \\times 10^{-13} \\text{ J} \\)",
+    "B": "\\( 5.992 \\times 10^{-13} \\text{ J} \\)",
+    "C": "\\( 7.231 \\times 10^{-13} \\text{ J} \\)",
+    "D": "\\( 6.844 \\times 10^{-13} \\text{ J} \\)"
+  },
+  "answer": "D",
+  "original_image_filename": "phyx_551.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0551/prompt.txt

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+An atom of uranium (\( m = 3.9529 \times 10^{-25} \) kg) at rest decays spontaneously into an atom of helium (\( m = 6.6465 \times 10^{-27} \) kg) and an atom of thorium (\( m = 3.8864 \times 10^{-25} \) kg). The helium atom is observed to move in the positive \( x \) direction with a velocity of \( 1.423 \times 10^7 \) m/s as shown in figure. Find the total kinetic energy of the two atoms after the decay.
+
+A: \( 6.09 \times 10^{-13} \text{ J} \)
+B: \( 5.992 \times 10^{-13} \text{ J} \)
+C: \( 7.231 \times 10^{-13} \text{ J} \)
+D: \( 6.844 \times 10^{-13} \text{ J} \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0556/prompt.txt

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+Particle A has a rest energy of \( 1192 \text{ MeV} \) and is moving through the laboratory in the positive \( x \) direction. It decays into particle B (rest energy = \( 1116 \text{ MeV} \)) and a photon; particle A disappears in the decay process. The photon moves in a direction at an angle \( \theta \) with the positive \( x \) axis as shown in figure. Find the angle \( \theta \).
+
+A: \( 9.8^\circ \)
+B: \( 10.5^\circ \)
+C: \( 13.3^\circ \)
+D: \( 12.7^\circ \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0561/prompt.txt

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+Assuming that the difference between Thomson's calculated \( e/m \) in his second experiment (see Figure 3-19) and the currently accepted value was due entirely to his neglecting the horizontal component of Earth's magnetic field outside the deflection plates. What value for that component does the difference imply? (Thomson's data: \( B = 5.5 \times 10^{-4} \) T, \( \mathcal{E} = 1.5 \times 10^4 \) V/m, \( x_1 = 5 \) cm, \( y_2/x_2 = 8/110 \).)
+
+A: \( -18\mu T \)
+B: \( -43\mu T \)
+C: \( -22\mu T \)
+D: \( -31\mu T \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0568/prompt.txt

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+A rocket ship of length $L_0 = 240$ m, at rest with respect to an observer O′, travels at a constant velocity $V = 0.6c$ relative to an inertial observer O on the ground. A light source is placed midway in the rocket ship, at point B, between two mirrors, points A and C (see figure 17.4). The light source emits two flashes, one in the direction of the nose of the ship (point C) and one in the direction of the tail (point A). Subsequently, the two flashes return to the source where they are absorbed. Determine the time that the flashes take to reach the mirrors as measured by an observer O′ on the rocket ship.
+
+A: 0.55\mu\s
+B: 0.4\mu\s
+C: 0.95\mu\s
+D: 10.2\mu\s
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0569/original/question.json

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+{
+  "dataset": "PhyX",
+  "source_id": "569",
+  "question": "An x-ray photon with energy of 100 keV experiences a ‘head-on’ collision with an electron at rest. Using conservation of momentum and energy, find the recoil velocity of the electron.",
+  "choices": {
+    "A": "0.55c",
+    "B": "0.95c",
+    "C": "0.32c",
+    "D": "10.2c"
+  },
+  "answer": "C",
+  "original_image_filename": "phyx_569.png",
+  "has_embedded_choices": false
+}

M-4_phyx_data-generator/phyx_task/phyx_0569/prompt.txt

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+An x-ray photon with energy of 100 keV experiences a ‘head-on’ collision with an electron at rest. Using conservation of momentum and energy, find the recoil velocity of the electron.
+
+A: 0.55c
+B: 0.95c
+C: 0.32c
+D: 10.2c
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0592/prompt.txt

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+Figure gives their spatial separation $\Delta x$ according to the $S$ observer as a function of $\Delta t$ for a range of $\Delta t$ values. The vertical axis scale is set by $\Delta x_a = 10.0 \, \text{m}$. What is $\Delta x'$?
+
+A: 2.0m
+B: 1.3m
+C: 0.79m
+D: 3.0m
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0595/prompt.txt

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+Figure gives the velocity $u'$ of a particle relative to frame $S'$ for a range of values of $v$, where $v$ is the velocity of frame $S'$ relative to a reference frame $S$. The vertical axis scale is set by $u'_a = -0.800c$. What value will \( u' \) have if \( v \rightarrow c \)?
+
+A: -0.80c
+B: 0
+C: -c
+D: -1.20c
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0640/prompt.txt

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+The two parallel electrodes in figure. A proton enters the plates from one end, an equal distance from both electrodes. A potential difference $\Delta$ across the electrodes deflects the proton so that it strikes the outer end of the lower electrode. Assume that both the electric and magnetic fields are confined to the space between the electrodes. What magnetic field strength will allow the proton to pass through undeflected while the $500$ $V$ potential difference is applied?
+
+A: 40 mT
+B: 46 mT
+C: 50 mT
+D: 56 mT
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0647/prompt.txt

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+Figure shows the wave function of an electron. What is the probability that the electron is located between $x = -1.0$ $nm$ and $x = 1.0$ $nm$?
+
+A: 0.40
+B: 0.80
+C: 0.90
+D: 0.60
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0671/prompt.txt

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+A student drives a moped along a straight road as described by the velocity--time graph in figure. What is the moped's final position at \( t = 9.00 \text{ s} \)?
+
+A: 16m
+B: 14m
+C: 28m
+D: 32m
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0678/prompt.txt

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+A snow-covered ski slope makes an angle with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of \( 1.50 \text{ m} \) in the uphill direction as shown in figure. Find the components of its maximum displacement perpendicular to the surface.
+
+A: \( 0.178 \text{ m} \)
+B: \( 0.851 \text{ m} \)
+C: \( 0.944 \text{ m} \)
+D: \( 0.781 \text{ m} \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0685/prompt.txt

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+A playground is on the flat roof of a city school, \( 6.00 \text{ m} \) above the street below as shown in figure. The vertical wall of the building is \( h = 7.00 \text{ m} \) high, forming a 1-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of \( \theta = 53.0^\circ \) above the horizontal at a point \( d = 24.0 \text{ m} \) from the base of the building wall. The ball takes \( 2.20 \text{ s} \) to reach a point vertically above the wall. Find the horizontal distance from the wall to the point on the roof where the ball lands.
+
+A: \( 2.86 \text{ m} \)
+B: \( 3.12 \text{ m} \)
+C: \( 2.79 \text{ m} \)
+D: \( 2.13 \text{ m} \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0752/prompt.txt

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+During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. Figure shows a cross section of Mt. Fuji, in Japan. At what initial speed would a bomb have to be ejected, at angle $\theta_0 = 35^\circ$ to the horizontal, from the vent at $A$ in order to fall at the foot of the volcano at $B$, at vertical distance $h = 3.30\ km$ and horizontal distance $d = 9.40\ km$? Ignore, for the moment, the effect of air on the bomb's travel.
+
+A: 235.5 m/s
+B: 245.5 m/s
+C: 255.5 m/s
+D: 265.5 m/s
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0753/prompt.txt

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+In figure, a lump of wet putty moves in uniform circular motion as it rides at a radius of $20.0\ cm$ on the rim of a wheel rotating counterclockwise with a period of $5.00\ ms$. The lump then happens to fly off the rim at the 5 o'clock position (as if on a clock face). It leaves the rim at a height of $h = 1.20\ m$ from the floor and at a distance $d = 2.50\ m$ from a wall. At what height on the wall does the lump hit?
+
+A: 2.56 m
+B: 2.60 m
+C: 2.64 m
+D: 2.66 m
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0762/prompt.txt

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+In figure, elevator cabs are connected by a short cable and can be pulled upward or lowered by the cable above cab $A$. Cab $A$ has mass $1700\ kg$; cab $B$ has mass $1300\ kg$. A $12.0\ kg$ box of catnip lies on the floor of cab $A$. The tension in the cable connecting the cabs is $1.91 \times 10^4\ N$. What is the magnitude of the normal force on the box from the floor?
+
+A: 168 N
+B: 172 N
+C: 176 N
+D: 180 N
+
+Answer: C