Practice Post UTME EKSU physics 2022 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 force of 12 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 2

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 10 V is applied across it?

Correct A. 10^-5 C

B. 10^-6 C

C. 10^-7 C

D. 10^-8 C

Correct Answer: A

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Question 3

A radioactive sample decays at a rate of 10^-3 s^-1. If the initial number of nuclei is 10^10, what is the number of nuclei remaining after 10 s?

A. 10^9

Correct B. 10^8

C. 10^7

D. 10^6

Correct Answer: B

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Question 4

A block of mass 5 kg is attached to a horizontal 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 5

A gas is compressed at a cons\tant temperature from an initial volume of 10^-3 m^3 to a final volume of 10^-4 m^3. If the initial pressure is 10^5 Pa, what is the final pressure?

A. 2 x 10^5 Pa

B. 3 x 10^5 Pa

C. 4 x 10^5 Pa

Correct D. 5 x 10^5 Pa

Correct Answer: D

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Question 6

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 magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 7

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 10 V is applied across it?

A. 10^-5 C

Correct B. 10^-4 C

C. 10^-3 C

D. 10^-2 C

Correct Answer: B

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Question 8

A heat engine operates between two temperatures, 300 K and 400 K. If the efficiency of the engine is 20%, what is the work done by the engine in one cycle?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 9

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 acceleration due to gravity is 9.8 m/s^2, 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 10

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 m. If the motion starts from its equilibrium position, what is the displacement of the particle at time t = 0.5 s?

A. 2.5 m

Correct B. 3.5 m

C. 4.5 m

D. 5.5 m

Correct Answer: B

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Question 11

A 2.5 kg block of wood is susp\ended from a spring with a force cons\tant of 200 N/m. If the block is displaced by 0.15 m from its equilibrium position and released, what is the maximum speed of the block as it passes through the equilibrium position?

A. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 12

A radioactive sample has a half-life of 5 days. If the initial activity is 1000 Bq, what is the activity after 15 days?

A. 125 Bq

B. 250 Bq

Correct C. 500 Bq

D. 1000 Bq

Correct Answer: C

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Question 13

A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?

A. 0.45 A

Correct B. 0.50 A

C. 0.55 A

D. 0.60 A

Correct Answer: B

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Question 14

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the wave?

A. 1.7 m

B. 1.8 m

C. 1.9 m

Correct D. 2.0 m

Correct Answer: D

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Question 15

A 10 kg block is moving at a speed of 5 m/s. If the block is brought to rest in 2 seconds, what is the average force applied to the block?

A. 10 N

B. 20 N

C. 30 N

Correct D. 40 N

Correct Answer: D

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Question 16

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the half-life of Uranium-238 is 4.5 billion years, what is the mass of the sample after 9 billion years?

A. 25 g

B. 50 g

C. 75 g

Correct D. 87.5 g

Correct Answer: D

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Question 17

A particle of charge q moves in a circular path of radius r in a uniform magnetic field B. If the particle has a mass m and a velocity v, what is the magnitude of the magnetic field?

Correct A. \( \frac{mv}{qr} \)

B. \( \frac{qr}{mv} \)

C. \( \frac{m^2v^2}{q^2r^2} \)

D. \( \frac{q^2r^2}{m^2v^2} \)

Correct Answer: A

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Question 18

A block of mass m is attached to a horizontal spring with a spring cons\tant k. If the block is displaced by a dis\tance x and then released, what is the maximum speed of the block?

Correct A. \( \sqrt{\frac{kx^2}{m}} \)

B. \( \frac{kx^2}{m} \)

C. \( \frac{mx^2}{k} \)

D. \( \frac{k^2x^2}{m^2} \)

Correct Answer: A

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Question 19

A particle of mass m is moving in a straight line with an initial velocity v0. If the particle experiences a cons\tant acceleration a, what is the velocity of the particle after a time t?

Correct A. \( v_0 + at \)

B. \( v_0 - at \)

C. \( v_0 \sqrt{1 + at} \)

D. \( v_0 \sqrt{1 - at} \)

Correct Answer: A

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Question 20

A rigid rod of length L is pivoted at one \end. If a force F is applied at the other \end, what is the torque acting on the rod?

Correct A. \( FL \sin\( \theta \)

B. \( FL \cos\( \theta \)

C. \( FL \tan\( \theta \)

D. \( FL \csc\( \theta \)

Correct Answer: A

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Question 21

A block of mass 5 kg is placed on a horizontal, frictionless surface. A horizontal force of 20 N is applied to the block. If the block starts from rest, what is its velocity after 2 seconds?

A. 10 m/s

Correct B. 20 m/s

C. 5 m/s

D. 4 m/s

Correct Answer: B

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Question 22

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

A. 10 m/s

B. 25 m/s

Correct C. 50 m/s

D. 100 m/s

Correct Answer: C

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Question 23

A body is in equilibrium under the action of three forces. Two of the forces are equal in magnitude and act at an angle of 60° to each other. The third force acts at an angle of 30° to the line of action of the resul\tant of the first two forces. If the magnitude of the first two forces is 10 N, what is the magnitude of the third force?

A. 5 N

B. 10 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 24

A radioactive subs\tance has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 25

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 its kinetic energy?

A. 8 J

Correct B. 16 J

C. 24 J

D. 32 J

Correct Answer: B

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