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POST UTME AL-HIKMAH UNIVERSITY 2020 Physics | Objective

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Question 1

A parallel plate capacitor has a capaci\tance of 2.5 μF. If a potential difference of 10 V is applied across the plates, what is the charge stored on the capacitor?

A. 25 μC

Correct B. 50 μC

C. 100 μC

D. 200 μC

Correct Answer: B

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Question 2

A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the sound wave?

A. 300 m/s

B. 600 m/s

Correct C. 1200 m/s

D. 2400 m/s

Correct Answer: C

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Question 3

A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K and the final temperature is 400 K. If the change in entropy is 100 J/K, what is the heat transferred during the process?

A. 10000 J

Correct B. 20000 J

C. 30000 J

D. 40000 J

Correct Answer: B

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Question 4

A block of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position and released, 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 magnetic field is produced by a current-carrying wire. If the current is 5 A and the length of the wire is 2 m, what is the magnetic field strength at a dis\tance of 1 m from the wire?

A. 0.1 T

B. 0.2 T

Correct C. 0.3 T

D. 0.4 T

Correct Answer: C

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Question 6

A 2 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·K) and the specific heat capacity of water is 4186 J/(kg·K), calculate the time it takes for the ice to melt completely.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 7

A particle moves in a straight line with an initial velocity of 5 m/s. After 2 seconds, its velocity is 10 m/s. Assuming a cons\tant acceleration, find the acceleration of the particle.

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 8

A 100 Ω resistor is connected in series with a 50 Ω resistor and a 200 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 150 Ω

B. 200 Ω

Correct C. 250 Ω

D. 300 Ω

Correct Answer: C

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Question 9

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, find the maximum velocity 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 10

A 10 kg block is placed on a frictionless surface and attached to a horizontal, massless string. The block is pulled to the right with a force of 20 N and released from rest. Assuming the block undergoes simple harmonic motion, find the angular frequency of the block.

A. 1 rad/s

B. 2 rad/s

Correct C. 3 rad/s

D. 4 rad/s

Correct Answer: C

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Question 11

A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the sample is 200 g, and the mass of the \alpha particle is 4 u, calculate the mass of the daughter nucleus after the decay, given that the mass of Uranium-238 is 238 u.

Correct A. 234 u

B. 238 u

C. 242 u

D. 246 u

Correct Answer: A

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Question 12

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the block as it passes through the equilibrium position.

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 13

A car travels from point A to point B with a cons\tant acceleration of 2 m/s^2. If the initial velocity of the car is 4 m/s and the dis\tance between points A and B is 100 m, calculate the time taken by the car to travel from point A to point B.

A. 5 s

Correct B. 10 s

C. 15 s

D. 20 s

Correct Answer: B

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Question 14

A container filled with 2 kg of water is heated from 20°C to 80°C. If the specific heat capacity of water is 4.2 J/g°C, calculate the energy required to heat the water.

A. 3360 J

Correct B. 4320 J

C. 5280 J

D. 6240 J

Correct Answer: B

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Question 15

A gas occupies a volume of 2 m^3 at a pressure of 100 kPa. If the temperature is increased to 300 K, calculate the final pressure of the gas, given that the gas is ideal.

A. 110 kPa

B. 120 kPa

Correct C. 130 kPa

D. 140 kPa

Correct Answer: C

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Question 16

A radioactive sample of Δₗ emits Δₗ particles at a rate of 2.5 x 10⁵ decays per second. If the half-life of Δₗ is 5.27 x 10⁸ seconds, what is the decay cons\tant λ?

A. 1.3 x 10⁸ s⁻¹±⁹

B. 2.5 x 10⁸ s⁻¹±⁹

Correct C. 5.2 x 10⁸ s⁻¹±⁹

D. 1.0 x 10⁹ s⁻¹±⁹

Correct Answer: C

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Question 17

A particle of mass 3.0 x 10⁴ kg is moving in a circular path of radius 2.0 m with a speed of 4.0 m/s. What is the magnitude of the centripetal acceleration?

Correct A. 8.0 m/s⁻¹²

B. 16.0 m/s⁻¹²

C. 32.0 m/s⁻¹²

D. 64.0 m/s⁻¹²

Correct Answer: A

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Question 18

A gas at 300 K has a pressure of 1.0 x 10⁴ Pa. If the temperature is increased to 600 K, what is the new pressure?

A. 2.0 x 10⁴ Pa

Correct B. 4.0 x 10⁴ Pa

C. 6.0 x 10⁴ Pa

D. 8.0 x 10⁴ Pa

Correct Answer: B

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Question 19

A particle of mass 2.0 x 10⁴ kg is moving in a straight line with a speed of 5.0 m/s. If the particle is subjected to a cons\tant force of 1.0 x 10⁴ N, what is the acceleration?

A. 0.5 m/s⁻¹²

Correct B. 1.0 m/s⁻¹²

C. 2.0 m/s⁻¹²

D. 5.0 m/s⁻¹²

Correct Answer: B

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Question 20

A radioactive sample of Δₗ emits Δₗ particles at a rate of 1.0 x 10⁵ decays per second. If the half-life of Δₗ is 5.27 x 10⁸ seconds, what is the activity?

A. 5.27 x 10⁵ Bq

B. 1.0 x 10⁶ Bq

Correct C. 2.5 x 10⁶ Bq

D. 5.0 x 10⁶ Bq

Correct Answer: C

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Question 21

A particle of mass 3.0 x 10⁴ kg is moving in a circular path of radius 2.0 m with a speed of 4.0 m/s. What is the magnitude of the centripetal force?

Correct A. 3.2 x 10⁴ N

B. 6.4 x 10⁴ N

C. 12.8 x 10⁴ N

D. 25.6 x 10⁴ N

Correct Answer: A

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Question 22

A gas at 300 K has a pressure of 1.0 x 10⁴ Pa. If the temperature is increased to 600 K, what is the new volume?

A. 2.0 x 10⁴ m⁻³

Correct B. 4.0 x 10⁴ m⁻³

C. 6.0 x 10⁴ m⁻³

D. 8.0 x 10⁴ m⁻³

Correct Answer: B

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Question 23

A 2 kg block of ice at 0°C is placed in a 5°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the specific heat capacity of water is 4186 J/(kg°C), calculate the time it takes for the ice to melt completely.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 24

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 angle through which the particle has moved after 5 seconds.

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 25

A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the light bulb is 50 Ω, calculate the current flowing through the light bulb.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 4 A

Correct Answer: B

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