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POST UTME AL-HIKMAH UNIVERSITY 2019 Physics | Objective

Are you preparing for POST UTME AL-HIKMAH UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass m is moving in a circular path of radius r under the influence of a centripetal force F. If the particle's velocity is increased by a factor of 2, what is the new centripetal force required?

Correct A. 4F

B. 2F

C. F

D. F/2

Correct Answer: A

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Question 2

A radioactive sample decays from 100g to 50g in 5 years. What is the half-life of the sample?

A. 10 years

Correct B. 5 years

C. 2.5 years

D. 1 year

Correct Answer: B

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Question 3

A 10V battery is connected to a 2Ω resistor. What is the current flowing through the resistor?

Correct A. 5A

B. 2.5A

C. 1A

D. 0.5A

Correct Answer: A

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Question 4

A wave function ψ(x) = Ae^\( -αx^2 \) is given. What is the probability of finding the particle between x = 0 and x = 1?

Correct A. 0.5

B. 0.25

C. 0.75

D. 0.9

Correct Answer: A

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Question 5

A 100V, 50Hz AC source is connected to a 10Ω resistor. What is the impedance of the circuit?

A. 10Ω

Correct B. 20Ω

C. 30Ω

D. 40Ω

Correct Answer: B

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Question 6

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. The particle is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the particle's motion.

Correct A. \frac{\sqrt{100}}{2\pi}

B. \frac{\sqrt{100}}{\pi}

C. \frac{\sqrt{100}}{4\pi}

D. \frac{\sqrt{100}}{\pi/2}

Correct Answer: A

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Question 7

A light wave with a frequency of 5.0 x 10^14 Hz has a wavelength of 500 nm. Calculate the speed of the light wave.

A. 2.5 x 10^8 m/s

Correct B. 5.0 x 10^8 m/s

C. 7.5 x 10^8 m/s

D. 10.0 x 10^8 m/s

Correct Answer: B

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Question 8

A circuit consists of a 10 ohm resistor, a 20 ohm resistor, and a 5 ohm resistor connected in series. A 12 V battery is connected across the circuit. Calculate the current flowing through the circuit.

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1.0 A

Correct Answer: C

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Question 9

A wave with a frequency of 200 Hz has a wavelength of 2 m. Calculate the speed of the wave.

A. 400 m/s

Correct B. 600 m/s

C. 800 m/s

D. 1000 m/s

Correct Answer: B

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Question 10

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60 degrees above the horizontal. Calculate the time of flight of the projectile.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 11

A radioactive sample of uranium-238 undergoes \alpha decay. If the mass number of the daughter nucleus is 234, what is the mass number of the \alpha particle?

Correct A. 4

B. 2

C. 6

D. 8

Correct Answer: A

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Question 12

A gas at a pressure of 2.5 atm and a temperature of 300 K is heated to a temperature of 400 K. If the volume of the gas is 0.5 m^3, what is the final pressure of the gas?

A. 3.2 atm

Correct B. 4.0 atm

C. 5.0 atm

D. 6.0 atm

Correct Answer: B

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Question 13

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

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 14

A heat engine operates between a temperature of 500 K and a temperature of 300 K. If the efficiency of the engine is 30%, what is the work done by the engine?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 15

A vector A has a magnitude of 5 units and a direction of 30°. If a vector B has a magnitude of 3 units and a direction of 60°, what is the magnitude of the resul\tant vector A + B?

A. 6.2 units

B. 7.5 units

Correct C. 8.8 units

D. 10.1 units

Correct Answer: C

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Question 16

A body is moving in a circular path with a radius of 2 m. If the body has a velocity of 4 m/s, what is the centripetal acceleration of the body?

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 17

A heat engine operates between a temperature of 400 K and a temperature of 200 K. If the efficiency of the engine is 40%, what is the work done by the engine?

A. 150 J

B. 200 J

Correct C. 250 J

D. 300 J

Correct Answer: C

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Question 18

A vector A has a magnitude of 3 units and a direction of 45°. If a vector B has a magnitude of 2 units and a direction of 60°, what is the magnitude of the resul\tant vector A + B?

A. 4.2 units

B. 5.5 units

Correct C. 6.8 units

D. 8.1 units

Correct Answer: C

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Question 19

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 angle between the velocity vector and the radius vector?

A. 45°

B. 60°

Correct C. 30°

D. 90°

Correct Answer: C

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Question 20

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 21

A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. If the wavelength of the wave is 1.7 m, what is the amplitude of the wave?

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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Question 22

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

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 23

A gas is contained in a cylinder of volume 2 L at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas?

A. 2.5 L

B. 3 L

Correct C. 3.5 L

D. 4 L

Correct Answer: C

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Question 24

A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, calculate the magnitude of the acceleration of the particle.

A. 10 m/s^2

Correct B. 20 m/s^2

C. 30 m/s^2

D. 40 m/s^2

Correct Answer: B

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Question 25

A 12 V battery is connected to a 4 Ω resistor in series with a 6 Ω resistor. Calculate the total resis\tance in the circuit.

A. 2 Ω

B. 4 Ω

C. 6 Ω

Correct D. 10 Ω

Correct Answer: D

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