Practice post utme rhema university physics 2025 Past Questions

Question 1

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 acceleration $g$, 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}{g^2} $

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

Correct Answer: A

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Question 2

A block of mass $M$ is placed on a horizontal, frictionless surface. A force of magnitude $F$ is applied to the block, cau\sing it to accelerate at a rate $a$. If the block is displaced by a dis\tance $d$ from its initial position, find the work done by the force $F$.

Correct A. $ Fd $

B. $ \frac{1}{2} Fd $

C. $ \frac{1}{2} M d^2 $

D. $ M d^2 $

Correct Answer: A

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Question 3

A parallel-plate capacitor consists of two plates of area $A$ and separation $d$. If the capacitor is charged to a potential difference $V$, find the capaci\tance $C$.

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

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

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

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

Correct Answer: A

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Question 4

A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, find the energy $E_1$.

Correct A. $ \frac{h^2}{8mL^2} $

B. $ \frac{h^2}{4mL^2} $

C. $ \frac{h^2}{16mL^2} $

D. $ \frac{h^2}{32mL^2} $

Correct Answer: A

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Question 5

A magnetic field of magnitude $B$ is directed perp\endicular to a current-carrying wire of length $L$. If the current is $I$, find the force $F$ on the wire.

Correct A. $ ILB \sin \theta $

B. $ ILB \cos \theta $

C. $ \frac{ILB}{\sin \theta} $

D. $ \frac{ILB}{\cos \theta} $

Correct Answer: A

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Question 6

A 2 kg block of ice at 0°C is placed in a 5°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the specific heat capacity of water is 4186 J/(kg°C), what is the time it takes for the ice to melt completely?

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 7

A 100 V AC source is connected to a 50 Ω resistor. If the current through the resistor is 2 A, what is the power consumed by the resistor?

A. 200 W

B. 250 W

Correct C. 300 W

D. 350 W

Correct Answer: C

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Question 8

A particle is projected from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the time of flight of the particle?

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 9

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?

A. 1/2

B. 1/3

Correct C. 2/3

D. 3/4

Correct Answer: C

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Question 10

A 1000 Ω resistor is connected in series with a 2000 Ω resistor and a 3000 Ω resistor. What is the total resis\tance of the circuit?

A. 4000 Ω

B. 5000 Ω

Correct C. 6000 Ω

D. 7000 Ω

Correct Answer: C

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Question 11

A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the sample is 200 g, and the mass of the \alpha particle is 4 u, what is the mass of the resulting nucleus?

Correct A. 234 u

B. 238 u

C. 242 u

D. 246 u

Correct Answer: A

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Question 12

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, 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 13

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 14

A light wave with a frequency of 5 x 10^14 Hz and a wavelength of 600 nm is incident on a double-slit apparatus. If the dis\tance between the slits is 0.5 mm, what is the angle of the first-order maximum?

A. 10^\circ

B. 20^\circ

Correct C. 30^\circ

D. 40^\circ

Correct Answer: C

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Question 15

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, what is the voltage across the 6 Ω resistor?

A. 8 V

Correct B. 10 V

C. 12 V

D. 14 V

Correct Answer: B

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Question 16

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 angular frequency $omega$ of the particle's motion.

Correct A. ω = √$ k/m $

B. ω = k/m

C. ω = √$ m/k $

D. ω = m/k

Correct Answer: A

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Question 17

A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, what is the frequency of the reflected wave?

A. f

Correct B. 2f

C. f/2

D. v/f

Correct Answer: B

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Question 18

A block of mass $m$ is placed on a frictionless surface and attached to a spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the force $F$ exerted on the block by the spring at position $x$.

Correct A. -kx

B. kx

C. -mx

D. mx

Correct Answer: A

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Question 19

A sound wave with amplitude $A$ and frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, what is the amplitude of the reflected wave?

Correct A. A

B. 2A

C. A/2

D. v/f

Correct Answer: A

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Question 20

A block of mass $m$ is placed on a frictionless surface and attached to a spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the potential energy $U$ of the block at position $x$.

Correct A. \frac{1}{2}kx^2

B. kx^2

C. \frac{1}{2}mx^2

D. mx^2

Correct Answer: A

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Question 21

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 subjected to a centripetal force of 12 N, what is the angular velocity of the particle?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 22

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?

Correct A. positive x-direction

B. negative x-direction

C. positive y-direction

D. negative y-direction

Correct Answer: A

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Question 23

A light ray passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 40°, what is the angle of deviation?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 24

A capacitor consists of two parallel plates separated by a dis\tance of 0.01 m. If the charge on each plate is 0.001 C, what is the capaci\tance of the capacitor?

A. 100 F

B. 1000 F

Correct C. 10000 F

D. 100000 F

Correct Answer: C

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Question 25

A light source is placed 2 m away from a convex lens. If the focal length of the lens is 0.5 m, what is the image dis\tance?

Correct A. 1 m

B. 2 m

C. 3 m

D. 4 m

Correct Answer: A

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