POST UTME UNIOSUN 2019 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 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 2
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?
A. in the positive x-direction
B. in the negative x-direction
C. perp\endicular to the wave
D. in the positive y-direction
Question 3
A quantum particle has a wave function given by \Psi(x) = Ae^{-\alpha x^2}. What is the probability of finding the particle between x = 0 and x = 1?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 4
A wave of frequency 100 Hz and amplitude 2 m is traveling through a medium with a speed of 300 m/s. Calculate the wavelength of the wave.
A. 1 m
B. 2 m
C. 3 m
D. 4 m
Question 5
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 20 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is its angular frequency?
A. 0.5 rad/s
B. 1.0 rad/s
C. 1.5 rad/s
D. 2.0 rad/s
Question 6
A gas at a pressure of 2 atm and a temperature of 300 K is allowed to expand to a volume of 10 L. Assuming the gas behaves ideally, calculate the final pressure of the gas.
A. 0.8 atm
B. 1.2 atm
C. 1.6 atm
D. 2.0 atm
Question 7
A 100 μF capacitor is connected in series with a 10 kΩ resistor and a 9 V battery. If the capacitor is initially uncharged, what is the time cons\tant of the circuit?
A. 1 ms
B. 10 ms
C. 100 ms
D. 1 s
Question 8
A 5 kg block is attached to a horizontal, massless spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is its maximum acceleration?
A. 5 m/s^2
B. 10 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 9
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. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 10
A beam of light is incident on a surface at an angle of 60°. If the reflected light is at an angle of 30°, what is the angle of incidence?
A. 30°
B. 45°
C. 60°
D. 90°
Question 11
A particle of mass 2 kg is moving in a circular path with a radius of 3 m and a speed of 4 m/s. Assuming the particle experiences a centripetal force of 10 N, calculate the angular velocity of the particle.
A. 0.5 rad/s
B. 1.0 rad/s
C. 1.5 rad/s
D. 2.0 rad/s
Question 12
A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m and radius 0.1 m. If the current in the wire is 5 A, what is the force exerted on the wire?
A. 2 N
B. 3 N
C. 5 N
D. 7 N
Question 13
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the expectation value of the position operator?
A. 0
B. 1/α
C. 1/2α
D. 1/4α
Question 14
A beam of light is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 15
A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium. What is the speed of the sound wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s

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