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POST UTME WELLSPRING UNIVERSITY 2025 Physics | Objective

Are you preparing for POST UTME WELLSPRING UNIVERSITY 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 parallel-plate capacitor is connected to an AC source with a frequency of 50 Hz. If the capaci\tance is 10 μF, the angular frequency is 314 rad/s, and the maximum value of the voltage is 100 V, what is the maximum value of the current?

A. 0.1 A

Correct B. 0.316 A

C. 1 A

D. 3.16 A

Correct Answer: B

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Question 2

A gas at 300 K is compressed from 10 L to 5 L. If the initial pressure is 1 atm, what is the final pressure?

A. 0.5 atm

B. 1 atm

Correct C. 2 atm

D. 5 atm

Correct Answer: C

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Question 3

A convex lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm. What is the magnification of the lens?

A. -1

Correct B. -0.5

C. 0.5

D. 1

Correct Answer: B

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Question 4

A radioactive sample decays from 100 Bq to 50 Bq in 10 minutes. What is the half-life of the sample?

A. 5 min

Correct B. 10 min

C. 20 min

D. 30 min

Correct Answer: B

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Question 5

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 0.1 m and released, what is the maximum velocity of the block?

A. 0.1 m/s

Correct B. 0.316 m/s

C. 1 m/s

D. 3.16 m/s

Correct Answer: B

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Question 6

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the expectation value of the potential energy of the particle in the ground state?

A. 0

Correct B. \frac{\pi^2 \hbar^2}{2mL^2}

C. \frac{\pi^2 \hbar^2}{mL^2}

D. \frac{\pi^2 \hbar^2}{4mL^2}

Correct Answer: B

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Question 7

A block of mass $m$ is attached to a horizontal, massless spring with spring cons\tant $k$. The block is displaced by a dis\tance $x_0$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the angular frequency of the block's motion?

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

B. \frac{k}{m}

C. \frac{m}{k}

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

Correct Answer: A

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Question 8

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. Assuming the only force acting on the projectile is gravity, what is the time of flight of the projectile?

Correct A. \frac{2v_0 \sin \theta}{g}

B. \frac{v_0 \sin \theta}{g}

C. \frac{v_0 \cos \theta}{g}

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

Correct Answer: A

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Question 9

A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to increase by $\Delta T$. Assuming the gas is ideal and the piston is frictionless, what is the change in pressure of the gas?

Correct A. \frac{nR\Delta T}{V}

B. \frac{n\Delta T}{V}

C. \frac{R\Delta T}{V}

D. \frac{nRT}{V}

Correct Answer: A

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Question 10

A block of mass $m$ is susp\ended from a spring with spring cons\tant $k$. The block is displaced by a dis\tance $x_0$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum kinetic energy of the block?

Correct A. \frac{1}{2} m \omega^2 x_0^2

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

C. \frac{1}{2} k x_0^2

D. \frac{1}{2} m x_0^2

Correct Answer: A

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Question 11

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the work done by this force as the particle moves through an angle $\theta$?

Correct A. $ W = \frac{1}{2}mv^2\( 1 - \cos\theta \ $ )

B. $ W = \frac{1}{2}mv^2\( 1 + \cos\theta \ $ )

C. $ W = mv^2\sin\theta $

D. $ W = mv^2\cos\theta $

Correct Answer: A

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Question 12

A magnetic field is produced by a current-carrying wire. If the current is increased by a factor of 3, what happens to the magnetic field?

Correct A. The magnetic field increases by a factor of 3

B. The magnetic field decreases by a factor of 3

C. The magnetic field remains unchanged

D. The magnetic field becomes zero

Correct Answer: A

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Question 13

A particle of mass $m$ is moving in a simple harmonic motion with a frequency $f$. If the particle is displaced by a dis\tance $x$ from its equilibrium position, what is the potential energy of the particle?

Correct A. $ U = \frac{1}{2}momega^2x^2 $

B. $ U = \frac{1}{2}momega^2x $

C. $ U = momega^2x $

D. $ U = \frac{1}{2}momega^2 $

Correct Answer: A

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Question 14

A wave is described by the equation $ y = A\sin\( kx - omega t \ $ ). If the wave is traveling in the positive $x$-direction, what is the direction of the group velocity?

Correct A. The group velocity is in the positive $x$-direction

B. The group velocity is in the negative $x$-direction

C. The group velocity is in the positive $y$-direction

D. The group velocity is in the negative $y$-direction

Correct Answer: A

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Question 15

A particle of mass $m$ is in a one-dimensional potential well of depth $V_0$. If the particle is in the ground state, what is the expectation value of its position?

Correct A. $ langle x \rangle = 0 $

B. $ langle x \rangle = \frac{L}{2} $

C. $ langle x \rangle = \frac{L}{4} $

D. $ langle x \rangle = \frac{3L}{4} $

Correct Answer: A

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Question 16

A thermodynamic system undergoes a process from state A to state B. If the system's internal energy increases by 100 J and the work done on the system is 50 J, what is the change in the system's enthalpy?

A. 150 J

Correct B. 200 J

C. 250 J

D. 300 J

Correct Answer: B

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Question 17

A magnetic field is produced by a current-carrying wire. If the current is 2 A and the length of the wire is 0.5 m, what is the magnitude of the magnetic field at a dis\tance of 0.2 m from the wire?

A. 0.01 T

B. 0.02 T

Correct C. 0.03 T

D. 0.04 T

Correct Answer: C

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Question 18

A gas is confined to a container with a volume of 2 L. If the temperature is increased by 20°C, what is the new volume of the gas?

A. 2.4 L

B. 2.6 L

Correct C. 2.8 L

D. 3.0 L

Correct Answer: C

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Question 19

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 20°, what is the angle of deviation?

A. 10°

Correct B. 20°

C. 30°

D. 40°

Correct Answer: B

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Question 20

A capacitor is connected to a battery and a resistor. If the capaci\tance is 10 μF, the resis\tance is 100 Ω, and the voltage is 10 V, what is the current flowing through the circuit?

Correct A. 0.1 A

B. 0.2 A

C. 0.3 A

D. 0.4 A

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 2 m. If the wave is traveling in a medium with a speed of 100 m/s, what is the amplitude of the wave?

A. 0.1 m

B. 0.2 m

Correct C. 0.3 m

D. 0.4 m

Correct Answer: C

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Question 23

A magnetic field of 0.5 T is applied to a coil of wire with 100 turns. If the coil has a resis\tance of 10 Ω and a current of 2 A is flowing through it, what is the induced emf in the coil?

A. 0.1 V

B. 0.2 V

Correct C. 0.3 V

D. 0.4 V

Correct Answer: C

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Question 24

A nucleus of mass number 20 has a binding energy of 100 MeV. If the nucleus is split into two fragments of mass number 10 each, what is the kinetic energy of each fragment?

A. 50 MeV

B. 75 MeV

Correct C. 100 MeV

D. 125 MeV

Correct Answer: C

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Question 25

A photon of energy 2 eV is incident on a metal surface with a work function of 1 eV. If the photon is absorbed by an electron, what is the kinetic energy of the electron?

A. 0.5 eV

B. 1 eV

Correct C. 1.5 eV

D. 2 eV

Correct Answer: C

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