POST UTME UNIPORT 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2.0 mH inductor is connected in series with a 10 V AC source. If the frequency of the source is 50 Hz, what is the inductive reac\tance of the circuit?
A. 10 Ω
B. 20 Ω
C. 50 Ω
D. 100 Ω
Question 2
A 2.5 V battery is connected in series with a 5 ohm resistor and a 10 ohm resistor. What is the total resis\tance in the circuit?
A. 15 ohms
B. 20 ohms
C. 25 ohms
D. 30 ohms
Question 3
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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 4
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?
A. 10.4 m
B. 12.2 m
C. 14.0 m
D. 15.8 m
Question 5
A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. If the wavelength of the sound wave is 1.7 m, what is the amplitude of the wave?
A. 0.27 m
B. 0.35 m
C. 0.43 m
D. 0.51 m
Question 6
A parallel plate capacitor consists of two plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capacitor is connected to a 12 V battery. Calculate the capaci\tance of the capacitor.
A. 0.01 F
B. 0.02 F
C. 0.03 F
D. 0.04 F
Question 7
A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
A. 50 J
B. 100 J
C. 150 J
D. 200 J
Question 8
A beam of light passes through a prism and is re\fracted. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, what is the angle of deviation?
A. $\theta_i + \theta_r$
B. $\theta_i - \theta_r$
C. $\theta_i + \theta_r + \theta_r$
D. $\theta_i - \theta_r + \theta_r$
Question 9
A 2.5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 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 as it passes through the equilibrium position.
A. 2.5 m/s
B. 5.0 m/s
C. 7.5 m/s
D. 10.0 m/s
Question 10
A thermodynamic system is in equilibrium at a temperature of 300 K. If the system is heated by 10 K, what is the change in entropy?
A. 10 J/K
B. 20 J/K
C. 30 J/K
D. 40 J/K
Question 11
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the circuit is driven by an alternating voltage source with a frequency of $f$, what is the phase angle between the current and the voltage?
A. $\tan^{-1} \frac{\omega L}{R}$
B. $\tan^{-1} \frac{R}{\omega L}$
C. $\tan^{-1} \frac{\omega L - R}{\omega L + R}$
D. $\tan^{-1} \frac{\omega L + R}{\omega L - R}$
Question 12
A simple harmonic motion has a period of 2 s and an amplitude of 0.5 m. If the motion starts from its equilibrium position, what is the maximum acceleration of the motion?
A. 0.25 m/s^2
B. 0.50 m/s^2
C. 0.75 m/s^2
D. 1.00 m/s^2
Question 13
A light wave of wavelength 500 nm is incident on a glass surface with a re\fractive index of 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 14
A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium. Calculate the speed of the sound wave.
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 15
A 5 kg object is moving in a circular path with a cons\tant speed of 10 m/s. The radius of the circle is 2 m. Calculate the magnitude of the centripetal acceleration of the object.
A. 5 m/s^2
B. 10 m/s^2
C. 15 m/s^2
D. 20 m/s^2

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