POST UTME UNIOSUN 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 2
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, calculate the final pressure.
A. 1 atm
B. 1.5 atm
C. 2 atm
D. 3 atm
Question 3
A heat engine operates between a temperature of 500 K and 300 K. If the efficiency of the engine is 30%, calculate the work done by the engine.
A. 1000 J
B. 2000 J
C. 3000 J
D. 4000 J
Question 4
A uniform magnetic field of strength 2.0 T is directed along the z-axis. A current of 5.0 A flows through a straight wire of length 0.5 m, placed along the x-axis. What is the magnitude of the magnetic force on the wire?
A. 0.1 N
B. 0.2 N
C. 0.5 N
D. 1.0 N
Question 5
A particle of mass 1 kg is moving in a circular orbit with radius 0.5 m and angular velocity 2 rad/s. What is the centripetal force acting on the particle?
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 6
A 100 V AC source is connected to a 50 Ω resistor. If the current is 2 A, calculate the power consumed by the resistor.
A. 200 W
B. 400 W
C. 600 W
D. 800 W
Question 7
A simple harmonic motion has an amplitude of $A$ and a frequency of $f$. If the motion is damped by a force proportional to the velocity, what is the value of the damping coefficient $b$ in terms of $A$, $f$, and the angular frequency $\omega$?
A. \frac{\omega^2A}{f}
B. \frac{fA}{\omega^2}
C. \frac{\omega^2A}{f^2}
D. \frac{f^2A}{\omega^2}
Question 8
A gas is heated from 300 K to 400 K at cons\tant volume. Calculate the change in internal energy.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 9
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-6 F, what is the magnitude of the electric field between the plates when a charge of 5 x 10^-6 C is stored on each plate?
A. 500 V/m
B. 1000 V/m
C. 2000 V/m
D. 5000 V/m
Question 10
A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle and transforming into Thorium-234. If the initial mass of the Uranium-238 sample is 200 g, and the mass of the \alpha particle is 4 u, what is the mass of the Thorium-234 sample produced?
A. 196 g
B. 198 g
C. 200 g
D. 202 g
Question 11
A block of mass 5 kg is susp\ended from a spring with spring cons\tant 200 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. What is the maximum speed of the block as it passes through its equilibrium position?
A. \sqrt{2} m/s
B. \sqrt{10} m/s
C. \sqrt{20} m/s
D. \sqrt{50} m/s
Question 12
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 13
A parallel plate capacitor has a capaci\tance of 10 μF. It is connected to a 12 V battery. What is the charge stored on the capacitor?
A. 120 μC
B. 240 μC
C. 360 μC
D. 480 μC
Question 14
A gas at 300 K has a volume of 2.0 L. If the temperature is increased to 400 K, what is the new volume of the gas?
A. 2.5 L
B. 3.0 L
C. 3.5 L
D. 4.0 L
Question 15
A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?
A. 5 m/s^2
B. 10 m/s^2
C. 15 m/s^2
D. 20 m/s^2

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