Practice post utme eksu physics 2025 Past Questions

Question 1

A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. What is the change in the gas's internal energy?

A. $ Delta U = 0 $

Correct B. $ Delta U = Q - W $

C. $ Delta U = Q + W $

D. $ Delta U = W - Q $

Correct Answer: B

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Question 2

A light ray passes from air into a glass block at an angle of incidence of 30°. If the angle of re\fraction is 20°, what is the re\fractive index of the glass?

Correct A. $ n = \frac{\sin 30°}{\sin 20°} $

B. $ n = \frac{\sin 20°}{\sin 30°} $

C. $ n = \frac{\sin 30°}{\sin 20°} + 1 $

D. $ n = \frac{\sin 20°}{\sin 30°} - 1 $

Correct Answer: A

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Question 3

A point charge of +2 μC is placed at the center of a conducting sphere. What is the electric flux through the sphere?

A. $ Phi_E = \frac{q}{epsilon_0} $

Correct B. $ Phi_E = \frac{q}{4piepsilon_0} $

C. $ Phi_E = \frac{q}{4piepsilon_0R^2} $

D. $ Phi_E = \frac{q}{4piepsilon_0R} $

Correct Answer: B

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Question 4

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

Correct A. $ v_{max} = \sqrt{\frac{kx^2}{m}} $

B. $ v_{max} = \sqrt{\frac{mgx}{k}} $

C. $ v_{max} = \sqrt{\frac{mg}{k}} $

D. $ v_{max} = \sqrt{\frac{k}{mg}} $

Correct Answer: A

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Question 5

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current in the circuit?

Correct A. $ I = \frac{V}{R_{total}} $

B. $ I = \frac{V}{R_1 + R_2} $

C. $ I = \frac{V}{R_1} + \frac{V}{R_2} $

D. $ I = \frac{V}{R_1} - \frac{V}{R_2} $

Correct Answer: A

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Question 6

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the centripetal acceleration?

A. 12 m/s^2

Correct B. 16 m/s^2

C. 20 m/s^2

D. 24 m/s^2

Correct Answer: B

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Question 7

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 4 m/s

B. 6 m/s

Correct C. 8 m/s

D. 10 m/s

Correct Answer: C

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Question 8

A \tank is filled with water to a height of 10 m. What is the pressure at the bottom of the \tank?

A. 100 kPa

B. 200 kPa

C. 300 kPa

Correct D. 400 kPa

Correct Answer: D

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Question 9

A coil of wire with 100 turns is placed in a magnetic field of strength 2 T. The coil has a radius of 0.1 m. What is the induced emf in the coil?

A. 0.2 V

B. 0.4 V

C. 0.6 V

Correct D. 0.8 V

Correct Answer: D

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Question 10

A force of 10 N is applied to an object of mass 2 kg. What is the acceleration of the object?

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

Correct D. 8 m/s^2

Correct Answer: D

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Question 11

A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, find the time $t$ at which the particle reaches its maximum height.

Correct A. $ \frac{v_0 \sin \theta}{g} $

B. $ \frac{v_0 \cos \theta}{g} $

C. $ \frac{v_0 \sin \theta}{2g} $

D. $ \frac{v_0 \cos \theta}{2g} $

Correct Answer: A

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Question 12

A parallel plate capacitor consists of two plates of area $A$ separated by a dis\tance $d$. If the plates are charged to a potential difference $V$, find the capaci\tance $C$ of the capacitor.

Correct A. $ \frac{\epsilon_0 A}{d} $

B. $ \frac{\epsilon_0 d}{A} $

C. $ \frac{\epsilon_0 A}{2d} $

D. $ \frac{\epsilon_0 d}{2A} $

Correct Answer: A

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Question 13

A simple p\endulum consists of a point mass $m$ attached to a massless string of length $L$. If the p\endulum is released from rest at an angle $\theta$ to the vertical, find the angular frequency $\omega$ of the p\endulum.

Correct A. $ \sqrt{\frac{g}{L}} $

B. $ \sqrt{\frac{L}{g}} $

C. $ \frac{g}{L} $

D. $ \frac{L}{g} $

Correct Answer: A

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Question 14

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle experiences a uniform magnetic field of strength $B$, find the force $F$ exerted on the particle.

Correct A. $ qvB $

B. $ qv^2 $

C. $ qB^2 $

D. $ v^2B $

Correct Answer: A

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Question 15

A block of mass $m$ is placed on a frictionless surface and connected to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released, find the frequency $f$ of the resulting simple harmonic motion.

Correct A. $ \frac{1}{2\pi}\sqrt{\frac{k}{m}} $

B. $ \frac{1}{2\pi}\sqrt{\frac{m}{k}} $

C. $ \frac{k}{2\pi m} $

D. $ \frac{m}{2\pi k} $

Correct Answer: A

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Question 16

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 4 m/s^2

B. 6 m/s^2

Correct C. 8 m/s^2

D. 10 m/s^2

Correct Answer: C

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Question 17

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 18

A car of mass 1500 kg is traveling at a speed of 25 m/s when the brakes are applied. If the car is brought to rest in a dis\tance of 50 m, what is the magnitude of the acceleration of the car?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 19

A particle of mass 1 kg is moving in a straight line with a velocity of 3 m/s. If the particle is subject to a force of 6 N, what is the magnitude of the acceleration of the particle?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 20

A block of mass 3 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 1 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 1 m/s

B. 2 m/s

Correct C. 3 m/s

D. 4 m/s

Correct Answer: C

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Question 21

A car of mass 1200 kg is traveling at a speed of 30 m/s when the brakes are applied. If the car is brought to rest in a dis\tance of 60 m, what is the magnitude of the acceleration of the car?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 22

A particle of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subject to a centripetal force of 20 N, what is the magnitude of the acceleration of the particle?

A. 4 m/s^2

B. 6 m/s^2

Correct C. 8 m/s^2

D. 10 m/s^2

Correct Answer: C

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Question 23

A block of mass 4 kg is attached to a horizontal, massless spring with a force cons\tant of 300 N/m. The block is displaced by 3 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 3 m/s

B. 4 m/s

Correct C. 5 m/s

D. 6 m/s

Correct Answer: C

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Question 24

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the kinetic energy of the particle at time $t$.

A. m\omega^2x_0^2

B. \frac{1}{2}m\omega^2x_0^2

C. m\omega^2x_0^2\sin^2$ \omega t $

Correct D. \frac{1}{2}m\omega^2x_0^2\sin^2$ \omega t $

Correct Answer: D

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Question 25

A beam of light is incident on a glass plate at an angle of incidence $\theta_i$. The re\fracted beam is observed to be at an angle of re\fraction $\theta_r$. If the re\fractive index of the glass is $n_g$, find the angle of incidence $\theta_i$ in terms of $\theta_r$ and $n_g$.

Correct A. \frac{n_g \sin \theta_r}{\sin \theta_r}

B. \frac{\sin \theta_r}{n_g \sin \theta_r}

C. \frac{n_g \sin \theta_r}{n_g \sin \theta_r}

D. \frac{\sin \theta_r}{n_g \sin \theta_r}

Correct Answer: A

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