POST UTME EKSU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, what is the final pressure?
A. 2.5 atm
B. 3 atm
C. 3.5 atm
D. 4 atm
Question 2
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 3
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.45 A
B. 0.50 A
C. 0.55 A
D. 0.60 A
Question 4
A heat engine operates between two temperatures, 300 K and 400 K. If the efficiency of the engine is 20%, what is the work done by the engine in one cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 5
A radioactive subs\tance has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 6
A sound wave with a frequency of 200 Hz has a speed of 340 m/s. Calculate the wavelength of the sound wave.
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 7
A gas is compressed at a cons\tant temperature from an initial volume of 10^-3 m^3 to a final volume of 10^-4 m^3. If the initial pressure is 10^5 Pa, what is the final pressure?
A. 2 x 10^5 Pa
B. 3 x 10^5 Pa
C. 4 x 10^5 Pa
D. 5 x 10^5 Pa
Question 8
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° 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 m
B. 15 m
C. 20 m
D. 25 m
Question 9
A radioactive sample decays at a rate of 10^-3 s^-1. If the initial number of nuclei is 10^10, what is the number of nuclei remaining after 10 s?
A. 10^9
B. 10^8
C. 10^7
D. 10^6
Question 10
A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, calculate the work done by the engine.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 11
A block of mass m is attached to a horizontal spring with a spring cons\tant k. If the block is displaced by a dis\tance x and then released, what is the maximum speed of the block?
A. \( \sqrt{\frac{kx^2}{m}} \)
B. \( \frac{kx^2}{m} \)
C. \( \frac{mx^2}{k} \)
D. \( \frac{k^2x^2}{m^2} \)
Question 12
A 50 Hz, 200 V AC source is connected to a series RLC circuit with R = 10 Ω, L = 0.1 H, and C = 10 μF. Calculate the impedance of the circuit.
A. 20 Ω
B. 30 Ω
C. 40 Ω
D. 50 Ω
Question 13
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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 14
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 acceleration of 2 m/s^2, what is its angular velocity?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 15
A 50 Hz AC voltage source is connected to a 100 Ω resistor. If the maximum current is 2 A, what is the power factor of the circuit?
A. 0.5
B. 0.7
C. 0.8
D. 0.9

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