POST UTME COAL CITY UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle completes one revolution in 4 s, calculate its angular velocity.
A. \( \frac{2 pi}{4} \) rad/s
B. \( \frac{2 pi}{2} \) rad/s
C. \( \frac{2 pi}{1} \) rad/s
D. \( \frac{2 pi}{0.5} \) rad/s
Question 2
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. Assuming the only force acting on the projectile is gravity, calculate the time it takes for the projectile to reach its maximum height.
A. 1 s
B. 2 s
C. 3 s
D. 4 s
Question 3
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.
A. 0.01 F
B. 0.02 F
C. 0.03 F
D. 0.04 F
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. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 5
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 as it passes through the equilibrium position.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 6
A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 7
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. 6 N
B. 8 N
C. 10 N
D. 12 N
Question 8
A body of mass 3.0 kg is moving with a velocity of 4.0 m/s. If the body is subjected to a force of 15 N, calculate the acceleration of the body.
A. 1.0 m/s^2
B. 2.0 m/s^2
C. 3.0 m/s^2
D. 4.0 m/s^2
Question 9
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the time taken for one complete revolution.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 10
A heat engine operates between two temperatures, 500 K and 300 K. The engine has an efficiency of 30%. Calculate the temperature of the hot reservoir.
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 11
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 20 Ω
B. 30 Ω
C. 40 Ω
D. 50 Ω
Question 12
A circuit consists of a 12 V battery, a 4 Ω resistor, and an unknown resistor. The current in the circuit is 2 A. What is the value of the unknown resistor?
A. 2 Ω
B. 4 Ω
C. 6 Ω
D. 8 Ω
Question 13
A gas expands from an initial volume of 2 L to a final volume of 5 L at a cons\tant temperature. Calculate the work done by the gas.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 14
A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. Calculate the wavelength of the sound wave.
A. 0.5 m
B. 1 m
C. 1.5 m
D. 2 m
Question 15
A particle of mass 1.0 kg is moving in a circular path with a radius of 2.0 m. If the particle is subjected to a centripetal force of 10 N, calculate the velocity of the particle.
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s

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