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POST UTME LAUTECH 2025 Physics | Objective

Are you preparing for POST UTME LAUTECH 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 10 V, 2 A AC source is connected in series with a 50 Ω resistor and a 20 mH inductor. The frequency of the AC source is 50 Hz. What is the impedance of the circuit?

A. 60 Ω

B. 80 Ω

Correct C. 100 Ω

D. 120 Ω

Correct Answer: C

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Question 2

A particle of mass 2 kg is moving in a circular path of radius 3 m with a 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 3

A 100 μF capacitor is connected in parallel with a 50 Ω resistor. A 10 V DC source is applied across the circuit. What is the current flowing through the resistor?

A. 0.2 A

Correct B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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Question 4

A 2 kg object is moving in a straight line with an initial velocity of 5 m/s. After 2 seconds, its velocity is 3 m/s. What is the acceleration of the object?

A. 1 m/s^2

Correct B. 2 m/s^2

C. 3 m/s^2

D. 4 m/s^2

Correct Answer: B

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Question 5

A 100 μF capacitor is connected in series with a 50 Ω resistor. A 10 V AC source is applied across the circuit. What is the impedance of the circuit?

A. 60 Ω

B. 80 Ω

Correct C. 100 Ω

D. 120 Ω

Correct Answer: C

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Question 6

A uniform magnetic field of strength 2 T is directed along the z-axis. A current of 5 A flows through a straight wire of length 0.5 m placed along the x-axis. The wire is perp\endicular to the magnetic field. What is the magnitude of the force experienced by the wire?

A. 0.25 N

Correct B. 0.5 N

C. 1 N

D. 2 N

Correct Answer: B

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Question 7

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. 8 N

B. 16 N

Correct C. 24 N

D. 32 N

Correct Answer: C

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Question 8

A convex lens of focal length 0.2 m is placed in contact with a concave lens of focal length -0.1 m. What is the focal length of the combination?

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 9

A gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?

A. 1.33

B. 1.5

Correct C. 1.67

D. 2

Correct Answer: C

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Question 10

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 11

A gas is enclosed in a container with a movable piston. The gas is heated at cons\tant pressure, cau\sing its volume to increase by 10%. If the initial volume is 2.5 L, what is the final volume of the gas?

Correct A. 2.75 L

B. 2.8 L

C. 2.85 L

D. 3.0 L

Correct Answer: A

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Question 12

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 13

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is the centripetal force acting on it?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 14

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 15

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 of the circuit?

A. 2 Ω

B. 4 Ω

C. 6 Ω

Correct D. 8 Ω

Correct Answer: D

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Question 16

A gas is heated at cons\tant volume. Which of the following statements is true about the change in the gas's internal energy?

A. The internal energy increases

B. The internal energy decreases

Correct C. The internal energy remains cons\tant

D. The internal energy is not affected

Correct Answer: C

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Question 17

A particle is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. What is the time of flight?

A. 2.5 s

Correct B. 5 s

C. 10 s

D. 15 s

Correct Answer: B

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Question 18

A wave has a frequency of 100 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 50 m/s

Correct B. 100 m/s

C. 150 m/s

D. 200 m/s

Correct Answer: B

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Question 19

A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the expectation value of the position operator?

A. 0

Correct B. 1/α

C. 1/2α

D. 1/4α

Correct Answer: B

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Question 20

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

A. 0.5 m

Correct B. 1 m

C. 1.5 m

D. 2 m

Correct Answer: B

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Question 21

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 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 22

A car travels from point A to point B at an average speed of 60 km/h. If the dis\tance between points A and B is 240 km, how much time does the car take to travel from point A to point B?

A. 4 hours

Correct B. 6 hours

C. 8 hours

D. 10 hours

Correct Answer: B

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Question 23

A 5 kg block is moving with a speed of 10 m/s on a frictionless surface. If a force of 20 N is applied to the block in the direction of motion, what is the acceleration of the block?

A. 0.4 m/s^2

Correct B. 0.8 m/s^2

C. 1.2 m/s^2

D. 1.6 m/s^2

Correct Answer: B

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Question 24

A 10 V battery is connected to a 2 Ω resistor. If the current flowing through the resistor is 2 A, what is the power consumed by the resistor?

A. 20 W

Correct B. 40 W

C. 60 W

D. 80 W

Correct Answer: B

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Question 25

A 50 Hz AC generator produces an emf of 100 V. If the generator is connected to a 10 Ω resistor, what is the rms current flowing through the resistor?

A. 5 A

Correct B. 10 A

C. 15 A

D. 20 A

Correct Answer: B

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