POST UTME REDEEMERS UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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
C. 6 m/s
D. 8 m/s
Question 2
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°
C. 50°
D. 60°
Question 3
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If the block is displaced by 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
C. 6 m/s
D. 8 m/s
Question 4
A wave has a frequency of 20 Hz and a wavelength of 0.1 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?
A. Positive x-direction
B. Negative x-direction
C. Positive y-direction
D. Negative y-direction
Question 5
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
D. 4 m/s^2
Question 6
A wave of wavelength 400 nm and frequency 6.0 x 10^14 Hz is incident on a screen. If the dis\tance between the screen and the source of the wave is 2.0 m, what is the wavelength of the wave on the screen?
A. 200 nm
B. 400 nm
C. 600 nm
D. 800 nm
Question 7
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 20%
B. 30%
C. 40%
D. 50%
Question 8
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). If the particle is in a box of length 1 m, what is the probability of finding the particle in the region x = 0 to x = 0.5 m?
A. 0.25
B. 0.5
C. 0.75
D. 1
Question 9
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?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 10
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
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 11
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.
A. 3 units
B. 4 units
C. 5 units
D. 6 units
Question 12
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
D. m * (2v)^2 / r
Question 13
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°
B. 30°
C. 40°
D. 50°
Question 14
A 5 mH inductor is connected in series with a 10 Ω resistor and a 12 V battery. What is the time cons\tant of the circuit?
A. 0.25 s
B. 0.5 s
C. 1 s
D. 2 s
Question 15
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the current flowing through the 4 Ω resistor?
A. 0.6 A
B. 1.2 A
C. 1.8 A
D. 2.4 A

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