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POST UTME RSU 2024 Physics | Objective

Are you preparing for POST UTME RSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A point charge of +2 μC is placed at the center of a spherical conductor of radius 0.1 m. What is the electric potential at the surface of the conductor?

Correct A. $ V = \frac{kQ}{r} $

B. $ V = \frac{kQ}{2r} $

C. $ V = \frac{kQ}{4r} $

D. $ V = \frac{kQ}{8r} $

Correct Answer: A

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Question 2

A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle's speed is 4 m/s, what is the magnitude of the centripetal acceleration?

Correct A. $ a_c = \frac{v^2}{r} $

B. $ a_c = \frac{v^2}{2r} $

C. $ a_c = \frac{v^2}{4r} $

D. $ a_c = \frac{v^2}{8r} $

Correct Answer: A

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Question 3

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

Correct A. $ A = A_0 left\( \frac{1}{2} \right \ $^{t/T} )

B. $ A = A_0 left\( \frac{1}{2} \right \ $^{2t/T} )

C. $ A = A_0 left\( \frac{1}{2} \right \ $^{t/2T} )

D. $ A = A_0 left\( \frac{1}{2} \right \ $^{2t/2T} )

Correct Answer: A

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Question 4

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

Correct A. $ h = \frac{v_0^2 \sin^2 \theta}{2g} $

B. $ h = \frac{v_0^2 \sin \theta}{2g} $

C. $ h = \frac{v_0^2 \cos \theta}{2g} $

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

Correct Answer: A

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Question 5

A capacitor consists of two parallel plates, each with an area of 0.1 m² and separated by a dis\tance of 0.01 m. If the capaci\tance is 10 μF, what is the charge stored on the capacitor when a potential difference of 5 V is applied?

A. $ C = \frac{Q}{V} $

Correct B. $ Q = CV $

C. $ Q = \frac{CV}{2} $

D. $ Q = \frac{CV}{4} $

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates when the potential difference between them is 100 V?

A. 4.0 x 10^-9 C

Correct B. 8.0 x 10^-9 C

C. 1.6 x 10^-8 C

D. 3.2 x 10^-8 C

Correct Answer: B

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Question 7

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 100 m/s

B. 200 m/s

Correct C. 400 m/s

D. 800 m/s

Correct Answer: C

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Question 8

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 1.0 m/s

B. 2.0 m/s

Correct C. 4.0 m/s

D. 8.0 m/s

Correct Answer: C

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Question 9

A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 2 m/s, what is the centripetal acceleration?

A. 2.0 m/s^2

B. 4.0 m/s^2

Correct C. 6.0 m/s^2

D. 8.0 m/s^2

Correct Answer: C

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Question 10

A photon has an energy of 2.5 eV. What is its momentum?

A. 1.0 x 10^-24 kg m/s

B. 2.0 x 10^-24 kg m/s

Correct C. 3.0 x 10^-24 kg m/s

D. 4.0 x 10^-24 kg m/s

Correct Answer: C

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Question 11

A long solenoid of length $L$ and radius $r$ carries a current $I$. A small loop of wire of radius $a$ is placed at a dis\tance $x$ from the center of the solenoid. If the magnetic field at the center of the solenoid is $B_0$, what is the magnetic field at the center of the small loop?

Correct A. $ B_0 \left\( 1 - \frac{x}{\sqrt{x^2 + a^2}} \right $

B. $ B_0 \left\( 1 + \frac{x}{\sqrt{x^2 + a^2}} \right $

C. $ \frac{B_0}{2} \left\( 1 - \frac{x}{\sqrt{x^2 + a^2}} \right $

D. $ \frac{B_0}{2} \left\( 1 + \frac{x}{\sqrt{x^2 + a^2}} \right $

Correct Answer: A

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Question 12

A thermodynamic system undergoes a process from state A to state B. The initial temperature is $T_1 = 300$ K and the final temperature is $T_2 = 400$ K. If the change in entropy is $\Delta S = 10$ J/K, what is the change in internal energy?

A. $ 100 \text{ J} $

Correct B. $ 200 \text{ J} $

C. $ 300 \text{ J} $

D. $ 400 \text{ J} $

Correct Answer: B

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Question 13

A convex lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the magnification is $m = 2$, what is the image dis\tance?

Correct A. $ \frac{2u}{3} $

B. $ \frac{3u}{2} $

C. $ \frac{4u}{3} $

D. $ \frac{5u}{4} $

Correct Answer: A

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Question 14

A circuit consists of a resistor $R_1 = 10 \Omega$, a capacitor $C = 100 \mu F$, and an inductor $L = 100 mH$. If the circuit is driven by a voltage source $V_0 = 10 V$ at a frequency $f = 50$ Hz, what is the impedance?

A. $ 15 \Omega $

Correct B. $ 20 \Omega $

C. $ 25 \Omega $

D. $ 30 \Omega $

Correct Answer: B

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Question 15

A light beam passes through a prism and is re\fracted at an angle $\theta$. If the angle of incidence is $\alpha = 30^\circ$ and the angle of re\fraction is $\beta = 40^\circ$, what is the angle of deviation?

A. $ 10^\circ $

B. $ 20^\circ $

Correct C. $ 30^\circ $

D. $ 40^\circ $

Correct Answer: C

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Question 16

A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its temperature to increase. Which of the following statements is true about the behavior of the gas?

A. The volume of the gas decreases.

Correct B. The pressure of the gas increases.

C. The number of moles of the gas increases.

D. The temperature of the gas remains cons\tant.

Correct Answer: B

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Question 17

A charged particle moves through a magnetic field. If the particle's velocity is perp\endicular to the magnetic field, what is the direction of the force exerted on the particle?

Correct A. Towards the center of the magnetic field.

B. Away from the center of the magnetic field.

C. Perp\endicular to the magnetic field.

D. In the direction of the magnetic field.

Correct Answer: A

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Question 18

A simple harmonic motion is described by the equation x(t) = 2\cos$ 3t + π/4 $. What is the amplitude of the motion?

Correct A. 2

B. √2

C. 1

D. 3

Correct Answer: A

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Question 19

A fluid is in a container with a small hole at the bottom. The container is slowly filled with the fluid. What is the pressure at the bottom of the container?

Correct A. ρgh

B. ρgH

C. ρgH/2

D. ρgH/3

Correct Answer: A

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Question 20

A projectile is launched at an angle of 45° to the horizontal. What is the time of flight?

Correct A. \frac{2u_0 \sin \theta}{g}

B. \frac{u_0 \sin \theta}{g}

C. \frac{u_0 \cos \theta}{g}

D. \frac{u_0 \sin \theta}{2g}

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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 6 N

Correct B. 8 N

C. 10 N

D. 12 N

Correct Answer: B

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Question 22

A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density?

A. 1.25 × 10^$ -6 $ C/m^2

Correct B. 2.5 × 10^$ -6 $ C/m^2

C. 3.75 × 10^$ -6 $ C/m^2

D. 5 × 10^$ -6 $ C/m^2

Correct Answer: B

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Question 23

A lens of focal length 20 cm is placed in a beam of light. If the object dis\tance is 30 cm, what is the image dis\tance?

Correct A. -60 cm

B. -40 cm

C. -20 cm

D. 10 cm

Correct Answer: A

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Question 24

A magnetic field of 0.5 T is applied to a current-carrying wire of length 1 m. If the current is 2 A, what is the magnitude of the force acting on the wire?

A. 0.5 N

Correct B. 1 N

C. 1.5 N

D. 2 N

Correct Answer: B

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Question 25

A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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