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POST UTME REDEEMERS UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME REDEEMERS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

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 from rest, determine the maximum velocity of the particle as a function of time.

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 2

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°, determine the angle of re\fraction.

A. 20°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 3

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, determine the current flowing through the 10 Ω resistor.

Correct A. 0.4 A

B. 0.6 A

C. 0.8 A

D. 1.0 A

Correct Answer: A

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Question 4

A 100 W light bulb is connected to a 220 V power supply. If the power factor is 0.8, determine the current flowing through the light bulb.

A. 0.5 A

B. 0.6 A

Correct C. 0.7 A

D. 0.8 A

Correct Answer: C

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Question 5

A 2 kg block is attached to a horizontal, massless 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 from rest, determine the maximum kinetic energy of the block as a function of time.

A. 5 J

B. 10 J

Correct C. 15 J

D. 20 J

Correct Answer: C

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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 force of 12 N, what is the magnitude of the acceleration of the particle?

A. 8 m/s^2

B. 12 m/s^2

Correct C. 16 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 7

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?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 8

A coil of wire of radius 0.1 m and resis\tance 10 Ω is connected to a battery of emf 12 V. If the current in the coil is 2 A, what is the magnitude of the magnetic field at the center of the coil?

Correct A. 0.1 T

B. 0.2 T

C. 0.3 T

D. 0.4 T

Correct Answer: A

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Question 9

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 0.5 m. If the motion starts from its equilibrium position, what is the maximum acceleration of the particle?

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 10

A projectile is launched at an angle of 45° with an initial velocity of 20 m/s. If the air resis\tance is negligible, 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 11

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 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate 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 12

A 100 V, 50 Hz AC source is connected to a 50 Ω resistor. Calculate the rms value of the current flowing through the resistor.

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 13

A sound wave with a frequency of 200 Hz has a maximum displacement of 0.01 m. Calculate the amplitude of the wave.

A. 0.005 m

Correct B. 0.01 m

C. 0.015 m

D. 0.02 m

Correct Answer: B

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Question 14

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, calculate the centripetal acceleration.

A. 0.5 m/s^2

B. 1 m/s^2

C. 2 m/s^2

Correct D. 4 m/s^2

Correct Answer: D

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Question 15

A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. Calculate the x-component of the vector.

Correct A. 3 units

B. 4 units

C. 5 units

D. 6 units

Correct Answer: A

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Question 16

A gas is enclosed in a container of volume 2.5 L at a temperature of 300 K. If the volume is increased to 5 L at a cons\tant temperature, what is the new pressure of the gas?

A. 1.5 atm

B. 2.5 atm

Correct C. 3.0 atm

D. 4.0 atm

Correct Answer: C

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Question 17

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. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 18

A beam of light is incident on a glass surface at an angle of 60°. If the re\fractive index of glass is 1.5, what is the angle of re\fraction?

A. 30°

B. 40°

Correct C. 50°

D. 60°

Correct Answer: C

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Question 19

A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?

A. 0.1 s

B. 0.2 s

Correct C. 0.5 s

D. 1.0 s

Correct Answer: C

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Question 20

A wave has a frequency of 200 Hz and a wavelength of 0.5 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 21

A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. The particle is subject to a centripetal force F_c = \( m * v^2 \) / r. If the particle's speed is doubled, what is the new centripetal force F_c_new?

A. 2m * v^2 / r

B. m * v^2 / r

C. 4m * v^2 / r

Correct D. m * (2v)^2 / r

Correct Answer: D

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Question 22

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling at a speed of 20 m/s, what is its amplitude?

Correct A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: A

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Question 23

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. 6 Ω

Correct B. 8 Ω

C. 10 Ω

D. 12 Ω

Correct Answer: B

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Question 24

A quantum particle has a wave function ψ(x) = Ae^\( -αx^2 \). If the particle is observed at x = 1, what is the probability of finding the particle in the region x = 0 to x = 1?

Correct A. 0.5

B. 0.6

C. 0.7

D. 0.8

Correct Answer: A

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Question 25

A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. If the wave is traveling at a speed of 340 m/s, what is its amplitude?

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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