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POST UTME ABU 2025 Physics | Objective

Are you preparing for POST UTME ABU 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 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/s², what is the magnitude of the net force acting on the particle?

Correct A. 10 N

B. 12 N

C. 15 N

D. 18 N

Correct Answer: A

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Question 2

A capacitor consists of two parallel plates, each of area 0.1 m², 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 100 V is applied across it?

Correct A. 0.01 C

B. 0.02 C

C. 0.03 C

D. 0.04 C

Correct Answer: A

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Question 3

A radioactive sample decays at a rate of 0.1% per minute. If the initial activity is 1000 Bq, what is the activity after 10 minutes?

Correct A. 900 Bq

B. 950 Bq

C. 990 Bq

D. 999 Bq

Correct Answer: A

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Question 4

A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle experiences a force of 2 N, what is the acceleration of the particle?

A. 0.5 m/s²

B. 1 m/s²

C. 1.5 m/s²

Correct D. 2 m/s²

Correct Answer: D

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Question 5

A capacitor consists of two parallel plates, each of area 0.1 m², separated by a dis\tance of 0.01 m. If the capaci\tance is 10 µF, what is the energy stored on the capacitor when a potential difference of 100 V is applied across it?

Correct A. 0.1 J

B. 0.2 J

C. 0.3 J

D. 0.4 J

Correct Answer: A

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Question 6

A 2.5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the latent heat of fusion of ice is 334,000 J/kg, calculate the time it takes for the ice to melt completely.

A. 120 s

B. 150 s

Correct C. 180 s

D. 210 s

Correct Answer: C

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Question 7

A 100 Ω resistor is connected in series with a 20 mH inductor and a 10 μF capacitor. If the circuit is driven by a 10 V AC source at a frequency of 50 Hz, calculate the impedance of the circuit.

A. 120 Ω

B. 140 Ω

Correct C. 160 Ω

D. 180 Ω

Correct Answer: C

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Question 8

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the time it takes for the particle to complete one revolution.

A. 2 s

B. 4 s

Correct C. 6 s

D. 8 s

Correct Answer: C

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Question 9

A 5 μF capacitor is connected in parallel with a 10 kΩ resistor. If the capacitor is initially uncharged and the resistor is connected to a 12 V DC source, calculate the time it takes for the capacitor to reach 90% of its final voltage.

A. 10 ms

B. 20 ms

Correct C. 30 ms

D. 40 ms

Correct Answer: C

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Question 10

A 10 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, calculate 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 11

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 cons\tant acceleration $g$ due to gravity, determine the time $t$ at which the particle reaches its maximum height.

Correct A. t = \frac{v_0 \sin \theta}{g}

B. t = \frac{v_0 \cos \theta}{g}

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

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

Correct Answer: A

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Question 12

A light ray passes through a prism of re\fractive index $n$ and is deviated by an angle $\delta$. If the angle of incidence is $i$, determine the angle of re\fraction $r$.

Correct A. \sin i = n \sin r

B. \sin i = \frac{1}{n} \sin r

C. \sin i = \sin r

D. \sin i = \cos r

Correct Answer: A

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Question 13

A charged particle of mass $m$ and charge $q$ is moving in a circular path of radius $r$ in a magnetic field of strength $B$. If the particle experiences a centripetal force $F_c$, determine the speed $v$ of the particle.

Correct A. F_c = \frac{q v B}{2 \pi r}

B. F_c = \frac{q v^2}{2 \pi r}

C. F_c = \frac{q B}{2 \pi r}

D. F_c = \frac{q v}{2 \pi r}

Correct Answer: A

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Question 14

A simple harmonic motion is described by the equation $x(t) = A \cos $ \omega t + \phi $$. If the amplitude is $A = 2$ cm, the angular frequency is $\omega = 3$ rad/s, and the phase angle is $\phi = \frac{\pi}{4}$, determine the position $x$ of the particle at time $t = 1$ s.

Correct A. x = 2 \cos \left$ 3 + \frac{\pi}{4} \right $

B. x = 2 \cos \left$ 3 - \frac{\pi}{4} \right $

C. x = 2 \cos \left$ 3 \frac{\pi}{4} \right $

D. x = 2 \cos \left$ 3 - \frac{\pi}{4} \right $

Correct Answer: A

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Question 15

A light ray passes through a lens of focal length $f$ and is deviated by an angle $\delta$. If the angle of incidence is $i$, determine the angle of re\fraction $r$.

Correct A. \frac{1}{f} = \frac{1}{u} + \frac{1}{v}

B. \frac{1}{f} = \frac{1}{u} - \frac{1}{v}

C. \frac{1}{f} = \frac{1}{u} \cdot \frac{1}{v}

D. \frac{1}{f} = \frac{1}{u} + \frac{1}{v^2}

Correct Answer: A

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Question 16

A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 17

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 acceleration?

A. 1.33 m/s^2

Correct B. 2.67 m/s^2

C. 4 m/s^2

D. 5.33 m/s^2

Correct Answer: B

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Question 18

A radioactivity experiment involves a sample of uranium-238 with an initial mass of 10 g. If the half-life of uranium-238 is 4.5 billion years, how many half-lives have passed after 10 billion years?

A. 1.11 half-lives

Correct B. 2.22 half-lives

C. 3.33 half-lives

D. 4.44 half-lives

Correct Answer: B

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Question 19

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance in the circuit?

A. 10 Ω

B. 12 Ω

Correct C. 14 Ω

D. 16 Ω

Correct Answer: C

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Question 20

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 21

A 10 kΩ resistor is connected in series with a 20 μF capacitor across a 100 V AC supply. If the frequency of the supply is 50 Hz, calculate the impedance of the circuit.

A. 10 kΩ

B. 20 kΩ

Correct C. 30 kΩ

D. 40 kΩ

Correct Answer: C

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Question 22

A particle of mass 2 kg is moving in a circular path of radius 5 m with a cons\tant speed of 10 m/s. If the particle is subject to a centripetal force of 20 N, calculate the time taken for the particle to complete one revolution.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 23

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

A. 50 Bq

B. 25 Bq

C. 12.5 Bq

Correct D. 6.25 Bq

Correct Answer: D

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Question 24

A 100 V AC supply is connected in series with a 50 Ω resistor and a 20 μF capacitor. If the frequency of the supply is 60 Hz, calculate the current flowing through the circuit.

A. 2 A

B. 3 A

Correct C. 4 A

D. 5 A

Correct Answer: C

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Question 25

A 10 μF capacitor is connected in parallel with a 20 Ω resistor across a 100 V DC supply. If the current flowing through the resistor is 2 A, calculate the voltage across the capacitor.

A. 20 V

Correct B. 40 V

C. 60 V

D. 80 V

Correct Answer: B

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