Exam Body

Year

Subject

Paper Type

POST UTME UNIOSUN 2025 Physics | Objective

Are you preparing for POST UTME UNIOSUN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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 of the particle's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. \frac{C}{2}

Correct B. 2C

C. \frac{C}{4}

D. C

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

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

Correct A. 10^\circ

B. 20^\circ

C. 30^\circ

D. 40^\circ

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the net force acting on the particle?

Correct A. \frac{mv^2}{r}

B. \frac{mv}{r}

C. \frac{m}{v}

D. \frac{v}{r}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

A capacitor is connected to a battery of voltage $V$ and has a capaci\tance of $C$. If the capacitor is disconnected from the battery and the voltage across it is measured to be $V/2$, what is the charge stored on the capacitor?

Correct A. \frac{CV}{2}

B. CV

C. \frac{CV}{4}

D. \frac{CV}{8}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the half-life of Uranium-238 is 4.5 billion years, what is the mass of the sample after 9 billion years?

A. 12.5 g

Correct B. 25 g

C. 50 g

D. 100 g

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

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

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

A block of mass 5 kg is attached to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum velocity of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

A \tank is filled with water to a height of 10 m. If the density of water is 1000 kg/m^3, what is the pressure at the bottom of the \tank?

A. 1000 Pa

B. 2000 Pa

C. 3000 Pa

Correct D. 4000 Pa

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

A beam of light is incident on a prism with an angle of incidence of 30°. If the re\fractive index of the prism is 1.5, what is the angle of re\fraction?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $). What is the expectation value of the position of the particle?

A. 0

Correct B. \frac{L}{2}

C. L

D. \frac{L}{4}

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

A charged particle of mass $m$ and charge $q$ is moving in a circular orbit of radius $r$ in a magnetic field of strength $B$. The particle's velocity is $v$. What is the frequency of the particle's motion?

Correct A. \frac{qB}{2\pi m}

B. \frac{2\pi m}{qB}

C. \frac{qB}{m}

D. \frac{m}{qB}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

A radioactive sample of $^{238}U$ has an initial activity of $A_0$. After $t$ years, the activity of the sample is $A$. What is the decay cons\tant of the sample?

Correct A. \frac{1}{t} \ln\left$ \frac{A_0}{A} \right $

B. \frac{1}{t} \ln\left$ \frac{A}{A_0} \right $

C. \frac{A_0}{A} \ln\left$ \frac{1}{t} \right $

D. \frac{A}{A_0} \ln\left$ \frac{1}{t} \right $

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

A simple harmonic oscillator has a mass of $m$ and a spring cons\tant of $k$. The oscillator's amplitude is $A$. What is the oscillator's angular frequency?

Correct A. \sqrt{\frac{k}{m}}

B. \sqrt{\frac{m}{k}}

C. \frac{k}{m}

D. \frac{m}{k}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

A particle of mass $m$ is moving in a circular orbit of radius $r$ in a magnetic field of strength $B$. The particle's velocity is $v$. What is the particle's kinetic energy?

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

B. \frac{1}{2} mvr

C. \frac{1}{2} mB

D. \frac{1}{2} rB

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. Assuming the acceleration due to gravity is 9.8 m/s^2, calculate the time taken for the particle to reach its maximum height.

Correct A. 1.5 s

B. 2.0 s

C. 2.5 s

D. 3.0 s

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, calculate the current flowing through the circuit.

Correct A. 2.5 A

B. 5.0 A

C. 10.0 A

D. 20.0 A

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

A block of mass 5 kg is attached to a horizontal spring of spring cons\tant 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, calculate the maximum speed of the block.

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

A wave of wavelength 2 m and frequency 5 Hz is traveling along a string. If the wave is reflected from a fixed \end, calculate the time taken for the wave to return to its original position.

A. 2.0 s

Correct B. 4.0 s

C. 6.0 s

D. 8.0 s

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 45° to the horizontal. Assuming the acceleration due to gravity is 9.8 m/s^2, calculate the range of the projectile.

A. 20 m

B. 40 m

Correct C. 60 m

D. 80 m

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's angular velocity is 4 rad/s, what is its centripetal acceleration?

A. 12 m/s^2

B. 24 m/s^2

Correct C. 36 m/s^2

D. 48 m/s^2

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

A 100 V, 50 Hz AC voltage source is connected to a 50 Ω resistor. What is the rms current flowing through the resistor?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

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?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. What is the volume of the gas at a pressure of 2 atm and a temperature of 400 K?

A. 4 L

B. 6 L

Correct C. 8 L

D. 10 L

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

A 10 kg object is moving in a straight line with a velocity of 5 m/s. What is its kinetic energy?

A. 25 J

Correct B. 50 J

C. 75 J

D. 100 J

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support