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POST UTME UNIBEN 2025 Physics | Objective

Are you preparing for POST UTME UNIBEN 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.

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Question 1

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. If the particle is subject to a uniform gravitational field of 10 m/s², calculate the time taken for the particle to reach its maximum height.

A. 1.5 s

Correct B. 2.0 s

C. 2.5 s

D. 3.0 s

Correct Answer: B

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Question 2

A capacitor consists of two parallel plates, each of area 0.01 m², separated by a dis\tance of 0.001 m. If the capaci\tance is 10 nF, calculate the charge stored when a potential difference of 5 V is applied across the plates.

A. 50 nC

Correct B. 100 nC

C. 150 nC

D. 200 nC

Correct Answer: B

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Question 3

A radioactive sample decays at a rate given by the equation $ \frac{dN}{dt} = -\lambda N $. If the initial number of nuclei is 1000 and the decay cons\tant is 0.1 s⁻¹, calculate the number of nuclei remaining after 10 s.

Correct A. 100

B. 200

C. 300

D. 400

Correct Answer: A

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Question 4

A particle of mass 1 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 uniform magnetic field of 0.5 T, calculate the magnitude of the magnetic force acting on the particle.

A. 0.2 N

Correct B. 0.4 N

C. 0.6 N

D. 0.8 N

Correct Answer: B

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Question 5

A beam of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20° and the angle of emergence is 40°, calculate the angle of deviation.

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 6

A solid sphere of radius $R$ and mass $M$ is placed at the origin of a coordinate system. A point charge $q$ is placed at a dis\tance $r$ from the center of the sphere. U\sing the concept of electric potential, derive an expression for the electric potential at the point charge $q$ due to the sphere.

Correct A. V = \frac{q}{4\pi\epsilon_0 r^2} \left$ 1 - \frac{R^3}{r^3}\right $

B. V = \frac{q}{4\pi\epsilon_0 r^2} \left$ 1 + \frac{R^3}{r^3}\right $

C. V = \frac{q}{4\pi\epsilon_0 r^2} \left$ 1 - \frac{R}{r}\right $

D. V = \frac{q}{4\pi\epsilon_0 r^2} \left$ 1 + \frac{R}{r}\right $

Correct Answer: A

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Question 7

A wire of length $L$ and resis\tance $R$ is stretched to twice its original length. What is the new resis\tance of the wire?

A. R' = \frac{R}{2}

B. R' = 2R

Correct C. R' = 4R

D. R' = \frac{R}{4}

Correct Answer: C

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Question 8

A sound wave with a frequency of 200 Hz and a speed of 343 m/s is traveling through a medium. What is the wavelength of the sound wave?

Correct A. 1.715 m

B. 1.715 cm

C. 1.715 mm

D. 1.715 km

Correct Answer: A

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Question 9

A capacitor consists of two parallel plates, each with an area of 0.01 m^2 and separated by a dis\tance of 0.001 m. The capaci\tance of the capacitor is 10 nF. What is the charge on the positive plate?

Correct A. 0.1 C

B. 0.01 C

C. 0.001 C

D. 0.0001 C

Correct Answer: A

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Question 10

A magnetic field of 0.1 T is applied to a coil of wire with 100 turns and a radius of 0.01 m. What is the magnetic flux through the coil?

Correct A. 0.01 Wb

B. 0.001 Wb

C. 0.0001 Wb

D. 0.00001 Wb

Correct Answer: A

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Question 11

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the force?

A. 8.0 N

Correct B. 12 N

C. 16 N

D. 20 N

Correct Answer: B

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Question 12

A gas is compressed from an initial volume of 2.0 m^3 to a final volume of 1.0 m^3. If the initial pressure is 2.0 x 10^5 Pa, what is the final pressure?

A. 4.0 x 10^5 Pa

B. 6.0 x 10^5 Pa

Correct C. 8.0 x 10^5 Pa

D. 10 x 10^5 Pa

Correct Answer: C

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Question 13

A radioactive sample has a half-life of 5.0 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 20 Bq

Correct B. 40 Bq

C. 60 Bq

D. 80 Bq

Correct Answer: B

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Question 14

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the temperature of the high-temperature reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 15

A nucleus has a mass number of 240 and an atomic number of 94. What is the mass defect?

A. 1.0 u

Correct B. 2.0 u

C. 3.0 u

D. 4.0 u

Correct Answer: B

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Question 16

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 uniform magnetic field of strength 2 T directed perp\endicular to the plane of the circular path, what is the magnitude of the magnetic force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 15 N

Correct Answer: C

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Question 17

A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The plates are charged to a potential difference of 12 V. What is the capaci\tance of the capacitor?

A. 0.02 F

Correct B. 0.04 F

C. 0.06 F

D. 0.08 F

Correct Answer: B

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Question 18

A block of mass 5 kg is moving in a straight line with a velocity of 10 m/s. If the block is subjected to a force of 20 N, what is the acceleration of the block?

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

Correct D. 8 m/s^2

Correct Answer: D

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Question 19

A heat engine operates between two temperatures, 500 K and 300 K. If the engine absorbs 1000 J of heat energy from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

B. 0.30

Correct C. 0.35

D. 0.40

Correct Answer: C

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Question 20

A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. What is the angular frequency of the motion?

A. 6 rad/s

Correct B. 12 rad/s

C. 18 rad/s

D. 24 rad/s

Correct Answer: B

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Question 21

A light ray is incident on a glass slab at an angle of 30°. The re\fractive index of the glass is 1.5. Calculate the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 22

A body of mass 2 kg is moving with a velocity of 5 m/s. Calculate the kinetic energy of the body.

A. 10 J

Correct B. 20 J

C. 25 J

D. 30 J

Correct Answer: B

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Question 23

A circuit consists of a 2 Ω resistor and a 4 Ω resistor connected in parallel. Calculate the equivalent resis\tance of the circuit.

Correct A. 1.33 Ω

B. 1.5 Ω

C. 2 Ω

D. 3 Ω

Correct Answer: A

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Question 24

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. Calculate the speed of the wave.

A. 10 m/s

Correct B. 20 m/s

C. 25 m/s

D. 30 m/s

Correct Answer: B

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Question 25

A body is moving in a circular path with a radius of 2 m. If the body completes one revolution in 4 seconds, calculate the angular velocity.

A. 1.57 rad/s

B. 2.5 rad/s

Correct C. 3.14 rad/s

D. 4.19 rad/s

Correct Answer: C

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