Add files using upload-large-folder tool

M-4_phyx_data-generator/phyx_task/phyx_0010/prompt.txt

@@ -0,0 +1,8 @@
+Assume a transparent rod of diameter \( d = 2.00 \, \mu\text{m} \) has an index of refraction of 1.36. Determine the maximum angle \( \theta \) for which the light rays incident on the end of the rod in figure are subject to total internal reflection along the walls of the rod.
+
+A: \( 72.2^\circ \)
+B: \( 65.4^\circ \)
+C: \( 67.2^\circ \)
+D: \( 60.0^\circ \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0017/prompt.txt

@@ -0,0 +1,8 @@
+A light ray traveling in air is incident on one face of a right-angle prism with index of refraction \( n = 1.50 \) as shown in figure, and the ray follows the path shown in the figure. Assuming \( \theta = 60.0^\circ \) and the base of the prism is mirrored. determine the angle \( \phi \) made by the outgoing ray with the normal to the right face of the prism.
+
+A: \( 8.83^\circ \)
+B: \( 12.35^\circ \)
+C: \( 7.91^\circ \)
+D: \( 6.42^\circ \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0040/prompt.txt

@@ -0,0 +1,8 @@
+A cylindrical glass rod (figure) has index of refraction 1.52. It is surrounded by air. One end is ground to a hemispherical surface. A small object is placed on the axis of the rod to the left of the vertex. Find the lateral magnification.
+
+A: -0.856
+B: -0.929
+C: +0.995
+D: -0.814
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0047/prompt.txt

@@ -0,0 +1,8 @@
+You pass 633\ \mathrm{nm} laser light through a narrow slit and observe the diffraction pattern on a screen. How wide is the slit?
+
+A: 643nm
+B: 633nm
+C: 639nm
+D: 533nm
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0049/prompt.txt

@@ -0,0 +1,8 @@
+A laser beam is aimed at a 1.0\text{-}\mathrm{cm}\text{-thick} sheet of glass at an angle above the glass. What is its direction in the air on the other side?
+
+A: 64.0^\circ
+B: 60.0^\circ
+C: 50.0^\circ
+D: 56.0^\circ
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0078/prompt.txt

@@ -0,0 +1,8 @@
+The figure shows a simple zoom lens in which the magnitudes of both focal lengths are \( f \). If the spacing \( d < f \), the image of the converging lens falls on the right side of the diverging lens. Our procedure of letting the image of the first lens act as the object of the second lens will continue to work in this case if we use a negative object distance for the second lens. This is called a virtual object. Consider a very distant object ( \( s \approx \infty \) for the first lens) and define the effective focal length as the distance from the midpoint between the lenses to the final image. What is the zoom for a lens that can be adjusted from \( d = 0.5 * f \) to \( d = 0.25 * f \)?
+
+A: 1.4
+B: 2.6
+C: 2.5
+D: 1.95
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0131/prompt.txt

@@ -0,0 +1,8 @@
+The Hubble Space Telescope’s objective diameter is \(2.4\,\mathrm{m}\). For visible light, say \(\lambda = 550\,\mathrm{nm}\).Earth-based telescopes, which are limited in resolution by atmospheric turbulence to about half an arc second, are outperformed by the Hubble. Estimate the improvement in resolution the Hubble offers over Earth-bound telescopes.
+
+A: $7 \times x$
+B: $12 \times x$
+C: $14 \times x$
+D: $9 \times x$
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0191/prompt.txt

@@ -0,0 +1,8 @@
+Consider an idealized bird that emits constant sound power, with intensity obeying the inverse-square law.You move twice the distance from the bird. How many decibels does the sound intensity level drop?
+
+A: 6.0dB
+B: 8.2dB
+C: 7.5dB
+D: 9.1dB
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0222/prompt.txt

@@ -0,0 +1,8 @@
+The speakers have identical sound frequencies of \( 348\,\mathrm{Hz} \).He is between the speakers, at B. What is the beat frequency heard by the observer?
+
+A: 30Hz
+B: 18Hz
+C: 12Hz
+D: 24Hz
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0225/prompt.txt

@@ -0,0 +1,8 @@
+While driving behind a car traveling at \( 3.00\,\mathrm{m/s} \), you notice one of the car's tires. The radii of the car's tires are \( 0.300\,\mathrm{m} \). What is the bump's period of oscillation?
+
+A: 0.928s
+B: 0.828s
+C: 0.728s
+D: 0.628s
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0244/prompt.txt

@@ -0,0 +1,8 @@
+If a loop of chain is spun at high speed, it can roll along the ground like a circular hoop without collapsing. Consider a chain of uniform linear mass density \( \mu \) whose center of mass travels to the right.Assume the weight of an individual link is negligible compared to the tension. Determine the tension in the chain in terms of \( \mu \) and \( v_0 \).
+
+A: $T = \alpha \sqrt{v_0}$
+B: $T = \alpha v_0^3$
+C: $T = \alpha v_0$
+D: $T = \alpha v_0^2$
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0268/prompt.txt

@@ -0,0 +1,8 @@
+In the overhead view of figure, a long uniform rod of mass $0.600\ kg$ is free to rotate in a horizontal plane about a vertical axis through its center. A spring with force constant $k = 1850\ N/m$ is connected horizontally between one end of the rod and a fixed wall. When the rod is in equilibrium, it is parallel to the wall. What is the period of the small oscillations that result when the rod is rotated slightly and released?
+
+A: 0.0562 s
+B: 0.0587 s
+C: 0.0653 s
+D: 0.0674 s
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0272/prompt.txt

@@ -0,0 +1,8 @@
+A wheel is free to rotate about its fixed axle. Assuming that the wheel is a hoop of mass $m$ and radius $R$, What is $\omega$ if $r = R$?
+
+A: $\sqrt{k/2m}. $
+B: $\sqrt{2k/m}. $
+C: $\sqrt{k/m}. $
+D: 0
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0275/prompt.txt

@@ -0,0 +1,8 @@
+A simple harmonic oscillator consists of a $0.50\ kg$ block attached to a spring. The block slides back and forth along a straight line on a frictionless surface with equilibrium point $x = 0$. At $t = 0$ the block is at $x = 0$ and moving in the positive $x$ direction. A graph of the magnitude of the net force $\vec{F}$ on the block as a function of its position is shown in figure. The vertical scale is set by $F_s = 75.0\ N$. What is the maximum kinetic energy?
+
+A: 10.2 J
+B: 10.8 J
+C: 11.3 J
+D: 12.4 J
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0281/prompt.txt

@@ -0,0 +1,8 @@
+Figure shows that if we hang a block on the end of a spring with spring constant $k$, the spring is stretched by distance $h = 2.0$ cm. If we pull down on the block a short distance and then release it, it oscillates vertically with a certain frequency. What length must a simple pendulum have to swing with that frequency?
+
+A: 1.60 cm
+B: 1.80 cm
+C: 2.20 cm
+D: 2.00 cm
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0286/prompt.txt

@@ -0,0 +1,8 @@
+A sand scorpion can detect the motion of a nearby beetle (its prey) by the waves the motion sends along the sand surface. The waves are of two types: transverse waves traveling at \(v_t = 50\,\mathrm{m/s}\) and longitudinal waves traveling at \(v_l = 150\,\mathrm{m/s}\). If a sudden motion sends out such waves, a scorpion can tell the distance of the beetle from the difference \(\Delta t\) in the arrival times of the waves at its leg nearest the beetle. If \(\Delta t = 4.0\,\mathrm{ms}\), what is the beetle's distance?
+
+A: 20 cm
+B: 25 cm
+C: 35 cm
+D: 30 cm
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0303/prompt.txt

@@ -0,0 +1,8 @@
+Two sinusoidal $120$ Hz waves, of the same frequency and amplitude, are to be sent in the positive direction of an $x$ axis that is directed along a cord under tension. The waves can be sent in phase, or they can be phase-shifted. Figure shows the amplitude $y'$ of the resulting wave versus the distance of the shift (how far one wave is shifted from the other wave). The scale of the vertical axis is set by $y_s' = 6.0$ mm. If the equations for the two waves are of the form $y(x, t) = y_m \sin(kx \pm \omega t)$, what is $\omega$
+
+A: 742 rad/s
+B: 746 rad/s
+C: 750 rad/s
+D: 754 rad/s
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0368/prompt.txt

@@ -0,0 +1,8 @@
+The figure shows two different processes by which 1.0\,\text{g} of nitrogen gas moves from state 1 to state 2. The temperature of state 1 is 25^\circ\text{C}. What is temperature at \( T_4 \)?
+
+A: 398^\circ C
+B: 556^\circ C
+C: 636^\circ C
+D: 784^\circ C
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0412/prompt.txt

@@ -0,0 +1,8 @@
+A monatomic gas follows the process shown in figure. How much heat is needed for process $2 \rightarrow 3$?
+
+A: 91 J
+B: 0 J
+C: -91 J
+D: -150 J
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0423/prompt.txt

@@ -0,0 +1,8 @@
+This problem focuses on evaluating the performance of a refrigerator by analyzing the heat extracted and the corresponding work input over one complete cycle. What is the coefficient of performance for the refrigerator shown in figure?
+
+A: 2.90
+B: 0.61
+C: 2.56
+D: 1.6
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0424/prompt.txt

@@ -0,0 +1,8 @@
+Figure shows a Carnot heat engine driving a Carnot refrigerator. Determine $Q_3$.
+
+A: 1000 J
+B: 1500 J
+C: 2000 J
+D: 2500 J
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0473/prompt.txt

@@ -0,0 +1,8 @@
+A gasoline truck engine takes in heat and delivers mechanical work per cycle. The heat is obtained by burning gasoline with heat of combustion L_c = 5.0 \times 10^4 J/g. How much gasoline is burned in each cycle?
+
+A: 0.25g
+B: 0.20g
+C: 0.30g
+D: 0.35g
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0474/prompt.txt

@@ -0,0 +1,8 @@
+A Carnot engine takes heat from a reservoir,does some work, and discards some heat to a reservoir. What is its efficiency?
+
+A: 36%
+B: 30%
+C: 28%
+D: 45%
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0480/prompt.txt

@@ -0,0 +1,8 @@
+A heat engine with a diatomic gas as the working substance uses the closed cycle shown in figure. What is its thermal efficiency?
+
+A: 9%
+B: 12%
+C: 15%
+D: 18%
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0487/prompt.txt

@@ -0,0 +1,8 @@
+Suppose the insulating qualities of the wall of a house come mainly from a \(4.0\,\mathrm{in.}\) layer of brick and an \(R\text{-}19\) layer of insulation.Its total area is \(195\,\mathrm{ft}^2\) and the temperature difference across it is \(35\,^\circ\mathrm{F}\). What is the total rate of heat loss through such a wall?
+
+A: 200Btu/h
+B: 250Btu/h
+C: 300Btu/h
+D: 350Btu/h
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0555/prompt.txt

@@ -0,0 +1,10 @@
+The discovery of the antiproton \( \overline{\text{p}} \) (a particle with the same rest energy as a proton, \( 938 \text{ MeV} \), but with the opposite electric charge) took place in 1956 through the following reaction:
+\[ \text{p} + \text{p} \rightarrow \text{p} + \text{p} + \text{p} + \overline{\text{p}} \]
+in which accelerated protons were incident on a target of protons at rest in the laboratory. The minimum incident kinetic energy needed to produce the reaction is called the \textit{threshold} kinetic energy, for which the final particles move together as if they were a single unit as shown in figure. Find the threshold kinetic energy to produce antiprotons in this reaction.
+
+A: \( 3.901 \text{ GeV} \)
+B: \( 7.581 \text{ GeV} \)
+C: \( 4.364 \text{ GeV} \)
+D: \( 5.628 \text{ GeV} \)
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0599/prompt.txt

@@ -0,0 +1,8 @@
+Figure gives \( \Delta t \) versus speed parameter \( eta \) for a range of values for \( eta \). The vertical axis scale is set by \( \Delta t_a = 14.0\,\text{s} \). What is interval \( \Delta t \) if \( v = 0.98c \)?
+
+A: 28s
+B: 56s
+C: 40s
+D: 12s
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0611/prompt.txt

@@ -0,0 +1,8 @@
+Many of the stars in the sky are actually binary stars, in which two stars orbit about their common center of mass. If the orbital speeds of the stars are high enough, the motion of the stars can be detected by the Doppler shifts of the light they emit. Stars for which this is the case are called spectroscopic binary stars.The plane of the stars'orbits is edge-on to the line of sight of an observer on the earth.The light from each star in the binary system varies from its maximum frequency to its minimum frequency and back again in 11.0 days. Determine the orbital radius the mass $m$ of each star.
+
+A: $5.55 \times 10^{29}$ kg
+B: $5.53 \times 10^{28}$ kg
+C: $5.45 \times 10^{29}$ kg
+D: $5.33 \times 10^{28}$ kg
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0616/prompt.txt

@@ -0,0 +1,8 @@
+$L = 1$ nm.If the left side is at a potential $V$ relative to the right side, then we can estimate the tunneling current as follows: The wires have diameter $d = 1$ mm, and copper has $n = 8.5 \times 10^{28}$ free electrons per m$^3$.Assume that the oxide gap provides a rectangular potential barrier of height 12 eV and that the energy of the free electrons incident on this barrier is 5.0 eV. Assume the gap has length \( L = 1 \, \text{nm} \). What is the probability \( T \) that an electron will tunnel through the barrier?
+
+A: 5eV
+B: 6eV
+C: 7eV
+D: 8eV
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0620/prompt.txt

@@ -0,0 +1,8 @@
+\(E\) and \(L\) for \(n=3\). Determine the energy.
+
+A: -1.50eV
+B: -1.52eV
+C: -1.54eV
+D: -1.56eV
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0629/prompt.txt

@@ -0,0 +1,8 @@
+The circuit shown in figure, which is called a half-wave rectifier. The triangular symbol with the flat lower edge represents a diode, such that a forward bias drives the current downward. Use a typical value for the saturation current: $I_S = 5 \times 10^{-13}\ A$. Use a temperature of $300\ K$. What is the current $I$ in that case?
+
+A: 0.006A
+B: 0.007A
+C: 0.06A
+D: 0.005A
+
+Answer: A

M-4_phyx_data-generator/phyx_task/phyx_0633/prompt.txt

@@ -0,0 +1,8 @@
+Peggy is standing in a long, flat railroad car that has firecrackers tied to both ends. The car moves past Ryan, with velocity $v = 0.8c$. Flashes from the exploding firecrackers reach him simultaneously $1.0\;\mu s$ after the instant that Peggy passes him, and he later finds burn marks on the track $300\;m$ to either side of where he had been standing. According to Peggy, what times do the explosions occur relative to the time that Ryan passes her?
+
+A: $-1.13\;\mu s$
+B: $-1.33\;\mu s$
+C: $-1.53\;\mu s$
+D: $-1.73\;\mu s$
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0641/prompt.txt

@@ -0,0 +1,8 @@
+An alpha particle approaches a nucleus with a speed of $1.50 \times 10^7$ $m/s$. As figure shows, the alpha particle is scattered at the slower speed of $1.49 \times 10^7$ $m/s$. With what speed does the $^{197}Au$ nucleus recoil?
+
+A: $2.48 \times 10^5$ $m/s$
+B: $2.52 \times 10^5$ $m/s$
+C: $2.56 \times 10^5$ $m/s$
+D: $2.62 \times 10^5$ $m/s$
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0646/prompt.txt

@@ -0,0 +1,8 @@
+Figure shows the spectrum of light emitted by a firefly. Determine the temperature of a blackbody that would emit radiation peaked at the same frequency.
+
+A: \( 2\
+B: \( 1\
+C: \( 5\
+D: \( 4\
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0679/prompt.txt

@@ -0,0 +1,8 @@
+You are standing on the ground at the origin of a coordinate system. An airplane flies over you with constant velocity parallel to the \( x \) axis and at a fixed height of \( 7.60 \times 10^3 \text{ m} \). At time \( t = 0 \), the airplane is directly above you so that the vector leading from you to it is \( \vec{P}_0 = 7.60 \times 10^3 \hat{\mathbf{j}} \text{ m} \). At \( t = 30.0 \text{ s} \), the position vector leading from you to the airplane is \( \vec{P}_{30} = (8.04 \times 10^3 \hat{\mathbf{i}} + 7.60 \times 10^3 \hat{\mathbf{j}}) \text{ m} \) as suggested in figure. Determine the magnitude and orientation of the airplane's position vector at \( t = 45.0 \text{ s} \).
+
+A: \( 1.34 \times 10^4 \text{ m} \)
+B: \( 2.91 \times 10^4 \text{ m} \)
+C: \( 1.43 \times 10^4 \text{ m} \)
+D: \( 1.87 \times 10^4 \text{ m} \)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0758/prompt.txt

@@ -0,0 +1,8 @@
+Some insects can walk below a thin rod (such as a twig) by hanging from it. Suppose that such an insect has mass $m$ and hangs from a horizontal rod as shown in figure, with angle $\theta = 40^\circ$. Its legs are all under the same tension, and the leg sections nearest the body are horizontal. What is the ratio of the tension in each tibia (forepart of a leg) to the insect's weight?
+
+A: 0.74
+B: 0.46
+C: 0.26
+D: 0.54
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0767/prompt.txt

@@ -0,0 +1,8 @@
+Two identical masses are released from rest in a smooth bowl from the positions shown in figure. Ignore friction between the masses and the surface of the bowl. If the masses stick together when they collide, how high above the bottom of the bowl will they go after colliding?
+
+A: R/3
+B: R/4
+C: R/2
+D: R/5
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0793/prompt.txt

@@ -0,0 +1,8 @@
+A motorcyclist heading east through a small town accelerates after he leaves the city limits as shown in figure. Where is he when his speed is \( 25 \, \text{m/s} \)?
+
+A: 27m
+B: 55m
+C: 45m
+D: 65m
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0813/prompt.txt

@@ -0,0 +1,8 @@
+A glider sits on a frictionless, horizontal air track, connected to a spring. You pull on the glider, stretching the spring, and release it from rest as shown in figure. The glider moves back toward its equilibrium position (\( x = 0 \)). What is its \( x \)-velocity when \( x = 0.080 \) m?
+
+A: \( -0.70 \text{ m/s} \)
+B: \( -0.30 \text{ m/s} \)
+C: \( -1.20 \text{ m/s} \)
+D: \( -2.30 \text{ m/s} \)
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0825/prompt.txt

@@ -0,0 +1,8 @@
+A bowling ball of mass \( M \) rolls without slipping down a ramp as shown in figure. What are the magnitude of the friction force on the ball? Treat the ball as a uniform solid sphere, ignoring the finger holes.
+
+A: \( \frac{2}{9} Mg \sin \beta \)
+B: \( \frac{2}{7} Mg \sin \beta \)
+C: \( \frac{2}{5} Mg \cos \beta \)
+D: \( \frac{2}{3} Mg \cos \beta \)
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0843/prompt.txt

@@ -0,0 +1,8 @@
+What is the electric flux through the surface?
+
+A: 1.2N m^2/C
+B: 10N m^2/C
+C: 2N m^2/C
+D: 1N m^2/C
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0844/prompt.txt

@@ -0,0 +1,8 @@
+What is the electric flux through the surface?
+
+A: -1.2N m^2/C
+B: -10N m^2/C
+C: -2N m^2/C
+D: -2.3N m^2/C
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0866/prompt.txt

@@ -0,0 +1,8 @@
+In the figure, a proton is fired with a speed of 200,000 m/s from the midpoint of the capacitor toward the positive plate. What is the proton’s speed as it collides with the negative plate?
+
+A: 1.59\times 10^{5}m/s
+B: 1.49\times 10^{5}m/s
+C: 2.19\times 10^{5}m/s
+D: 2.96\times 10^{5}m/s
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0875/prompt.txt

@@ -0,0 +1,8 @@
+The figure shows a graph of \( V \) versus \( x \) in a region of space. The potential is independent of \( y \) and \( z \). What is \( E_{x} \) at \( x = 2\ \mathrm{cm} \)?
+
+A: 12V/m
+B: -14V/m
+C: -200V/m
+D: -5V/m
+
+Answer: D

M-4_phyx_data-generator/phyx_task/phyx_0881/prompt.txt

@@ -0,0 +1,8 @@
+The switch in figure has been open for a long time. It is closed at \( t = 0 \, \text{s} \). What is the current through the battery after the switch has been closed a long time?
+
+A: \( 0.0 \
+B: \( 4.0 \
+C: \( 1.0 \
+D: \( 0.5 \
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0888/prompt.txt

@@ -0,0 +1,8 @@
+analyze the RL circuit of figure. What is \( V_\text{R} \) in the limits \( \omega \to 0 \)?
+
+A: \( V_\text{R} \to 2 \)
+B: \( V_\text{R} \to 0 \)
+C: \( V_\text{R} \to \mathcal{E}_0 \)
+D: \( V_\text{R} \to 3\)
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0892/prompt.txt

@@ -0,0 +1,8 @@
+What is the nit electric force on charge A?
+
+A: 1.25N
+B: 1.35N
+C: 0N
+D: 5.33N
+
+Answer: C

M-4_phyx_data-generator/phyx_task/phyx_0932/prompt.txt

@@ -0,0 +1,8 @@
+Your camping buddy has an idea for a light to go inside your tent. He happens to have a powerful (and heavy!) horseshoe magnet that he bought at a surplus store. This magnet creates a field between two pole tips \( 10 \, \text{cm} \) apart. His idea is to build the hand-cranked generator shown in figure. He thinks you can make enough current to fully light a lightbulb. That's not super bright, but it should be plenty of light for routine activities in the tent. With what frequency will you have to turn the crank for the maximum current to fully light the bulb?
+
+A: \( 4.6 \times 10^2 \
+B: \( 4.1 \times 10^2 \
+C: \( 2.4 \times 10^2 \
+D: \( 3.1 \times 10^2 \
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0966/prompt.txt

@@ -0,0 +1,8 @@
+The arc subtends an angle of \( 120^\circ \). Calculate the magnetic field (magnitude) at a point \( P \) due to a current \( I = 12.0\,\text{A} \) in the wire. Segment \( BC \) is an arc of a circle with radius \( 30.0\,\text{cm} \), and point \( P \) is at the center of curvature of the arc.
+
+A: 4.29μT
+B: 4.19μT
+C: 6.28μT
+D: 2.09μT
+
+Answer: B

M-4_phyx_data-generator/phyx_task/phyx_0992/prompt.txt

@@ -0,0 +1,8 @@
+Two point charges, \( q_1 = +25\,\text{nC} \) and \( q_2 = -75\,\text{nC} \), are separated by a distance \( r = 3.0\,\text{cm} \). Find the magnitude of the electric force that \( q_1 \) exerts on \( q_2 \).
+
+A: 0.63N
+B: 0.0187N
+C: 0.019N
+D: 0.028N
+
+Answer: B