Practice Post UTME ACHIEVERS UNIVERSITY physics 2025 Past Questions

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 is subjected to a centripetal acceleration of 2 m/s^2, what is the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 8 N

D. 6 N

Correct Answer: C

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Question 2

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. 25 m/s

D. 30 m/s

Correct Answer: C

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Question 3

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 4

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

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 5

A force of 10 N is applied to an object of mass 5 kg. What is the acceleration of the object?

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 nF, what is the dielectric cons\tant of the material between the plates?

Correct A. 1.6

B. 2.5

C. 3.2

D. 4.0

Correct Answer: A

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Question 7

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 8

A 100 Ω resistor is connected in series with a 50 Ω resistor and a 20 Ω resistor. What is the equivalent resis\tance?

A. 120 Ω

B. 150 Ω

Correct C. 170 Ω

D. 200 Ω

Correct Answer: C

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Question 9

A gas expands from 1.5 L to 2.5 L against a cons\tant external pressure of 2 atm. If the initial temperature is 300 K, what is the final temperature?

A. 350 K

Correct B. 400 K

C. 450 K

D. 500 K

Correct Answer: B

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Question 10

A point charge of 2 μC is placed at the center of a conducting sphere of radius 0.1 m. What is the electric field at the surface of the sphere?

A. 2 × 10^4 N/C

B. 4 × 10^4 N/C

Correct C. 6 × 10^4 N/C

D. 8 × 10^4 N/C

Correct Answer: C

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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's angular momentum is 12 kg m^2/s, what is its angular velocity?

A. 1.5 rad/s

B. 2 rad/s

Correct C. 3 rad/s

D. 4 rad/s

Correct Answer: C

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Question 12

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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Question 13

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 14

A wave function is given by ψ(x) = Ae^\( -αx^2 \). If the wave function is normalized, what is the value of α?

A. 1/2

Correct B. 1

C. 2

D. 4

Correct Answer: B

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Question 15

A circuit consists of a 2 Ω resistor and a 3 Ω resistor connected in series. If a voltage of 6 V is applied across the circuit, what is the current flowing through the circuit?

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 16

A coil of wire with 100 turns is placed in a magnetic field of strength 0.5 T. If the coil is rotated by 90° in 0.2 s, calculate the induced emf u\sing Faraday's law of induction.

A. 0.25 V

Correct B. 0.5 V

C. 1 V

D. 2 V

Correct Answer: B

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Question 17

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 18

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released, calculate the frequency of oscillation.

A. 1 Hz

B. 2 Hz

Correct C. 5 Hz

D. 10 Hz

Correct Answer: C

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Question 19

A beam of light is incident on a glass prism with an angle of incidence of 30°. If the angle of re\fraction is 20°, calculate the angle of deviation.

A. 10°

Correct B. 20°

C. 30°

D. 40°

Correct Answer: B

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Question 20

A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a velocity of 4 m/s, calculate the centripetal acceleration.

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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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 acceleration of 2 m/s^2, what is the force exerted on the particle?

A. 8 N

Correct B. 16 N

C. 32 N

D. 64 N

Correct Answer: B

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Question 22

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 23

A gas is compressed from an initial volume of 2 m^3 to a final volume of 1 m^3. If the initial pressure is 100 kPa and the final pressure is 200 kPa, what is the work done on the gas?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 24

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?

A. 1 s

Correct B. 2 s

C. 3 s

D. 4 s

Correct Answer: B

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Question 25

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

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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