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POST UTME VERITAS UNIVERSITY 2025 Physics | Objective

Are you preparing for POST UTME VERITAS 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 particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F = k/r^2$. If the particle's speed is $v$, what is its angular momentum $L$?

A. m^2 v^2 / r

B. m v^2 r

Correct C. m v r

D. m^2 v r

Correct Answer: C

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Question 2

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

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

B. \frac{\epsilon_0 A}{2d}

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

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

Correct Answer: A

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Question 3

A gas expands from an initial volume $V_i$ to a final volume $V_f$ at a cons\tant temperature $T$. What is the change in internal energy $\Delta U$?

Correct A. 0

B. \frac{p_i V_i - p_f V_f}{T}

C. \frac{p_i V_i + p_f V_f}{T}

D. \frac{p_i V_i - p_f V_f}{T}

Correct Answer: A

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Question 4

A particle of mass $m$ is moving in a one-dimensional potential $V(x) = kx^2$. What is the force $F(x)$?

Correct A. -2mkx

B. 2mkx

C. -mkx

D. mkx

Correct Answer: A

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Question 5

A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. If the plates are charged to a potential difference $V$, what is the energy stored $U$?

Correct A. \frac{1}{2} \frac{Q^2}{C}

B. \frac{Q^2}{C}

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

D. C Q^2

Correct Answer: A

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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 position operator $hat{x}$ in the ground state?

A. 0

Correct B. \frac{L}{2}

C. L

D. \frac{L}{\pi}

Correct Answer: B

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Question 7

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field $\vec{B} = B_0 \hat{z}$. The particle's velocity is given by $\vec{v} = v_0 \hat{x}$. What is the particle's trajectory?

A. A circle centered at the origin

Correct B. A circle centered at the origin with radius $\frac{mv_0}{qB_0}$

C. A straight line parallel to the x-axis

D. A parabola opening upwards

Correct Answer: B

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Question 8

A capacitor consists of two parallel plates of area $A$ and separation $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?

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

B. \frac{\epsilon_0 A}{2d}

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

D. \frac{\epsilon_0 A}{3d}

Correct Answer: A

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Question 9

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. What is the maximum height reached by the projectile?

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

B. \frac{v_0^2 \cos^2 \theta}{2g}

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

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

Correct Answer: A

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Question 10

A particle of mass $m$ is in a one-dimensional potential well of depth $V_0$ and width $L$. The wave function of the particle is given by $\psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the energy of the particle?

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

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

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

D. \frac{\hbar^2 pi^2}{8mL^2}

Correct Answer: A

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Question 11

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 magnitude of the acceleration of the particle?

Correct A. 6 m/s^2

B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: A

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Question 12

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 100 V is applied across it?

Correct A. 10^-6 C

B. 10^-5 C

C. 10^-4 C

D. 10^-3 C

Correct Answer: A

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Question 13

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?

Correct A. 15 m/s^2

B. 30 m/s^2

C. 45 m/s^2

D. 60 m/s^2

Correct Answer: A

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Question 14

A capacitor consists of two parallel plates, each of area 0.2 m^2, separated by a dis\tance of 0.02 m. If the capaci\tance of the capacitor is 2 \times 10^-6 F, what is the charge stored on the capacitor when a potential difference of 200 V is applied across it?

Correct A. 4 \times 10^-6 C

B. 4 \times 10^-5 C

C. 4 \times 10^-4 C

D. 4 \times 10^-3 C

Correct Answer: A

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Question 15

A particle of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 24 N, what is the magnitude of the acceleration of the particle?

Correct A. 12 m/s^2

B. 24 m/s^2

C. 36 m/s^2

D. 48 m/s^2

Correct Answer: A

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Question 16

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. L/2

C. L

D. nπL/2

Correct Answer: B

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Question 17

A circuit consists of a 12 Ω resistor, a 20 mH inductor, and a 10 μF capacitor connected in series. The circuit is driven by a 120 V AC source with a frequency of 50 Hz. What is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 18

A gas is contained in a cylinder of volume 2.5 L at a temperature of 300 K. The gas is heated to a temperature of 400 K. What is the new volume of the gas?

A. 3.0 L

B. 3.5 L

Correct C. 4.0 L

D. 4.5 L

Correct Answer: C

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Question 19

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 force acting on the particle?

Correct A. mv^2/r

B. 2mv^2/r

C. 3mv^2/r

D. 4mv^2/r

Correct Answer: A

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Question 20

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 cm. What is the angular frequency of the motion?

A. 4π rad/s

Correct B. 8π rad/s

C. 12π rad/s

D. 16π rad/s

Correct Answer: B

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Question 21

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?

A. 0.4 A

Correct B. 0.6 A

C. 0.8 A

D. 1.2 A

Correct Answer: B

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Question 22

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 force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 23

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 24

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 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 25

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in parallel. If a 12 V battery is connected across the circuit, what is the total current drawn from the battery?

A. 1.2 A

B. 1.5 A

Correct C. 1.8 A

D. 2.0 A

Correct Answer: C

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