POST UTME AL-HIKMAH UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive subs\tance decays at a rate of $0.5%$ per hour. If the initial amount of the subs\tance is $100 g$, how much will remain after $5$ hours?
A. 50 g
B. 75 g
C. 90 g
D. 95 g
Question 2
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across the plates, what is the charge stored on the capacitor?
A. 200 μC
B. 400 μC
C. 600 μC
D. 800 μC
Question 3
A ray of light passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 4
A wave has a frequency of 250 Hz and a wavelength of 0.5 m. What is the speed of the wave?
A. 125 m/s
B. 250 m/s
C. 500 m/s
D. 1000 m/s
Question 5
A gas at $20^{circ}C$ and $1.0 \times 10^5 Pa$ is heated to $50^{circ}C$ at cons\tant pressure. Calculate the volume of the gas at the final temperature.
A. 0.02 m^3
B. 0.04 m^3
C. 0.06 m^3
D. 0.08 m^3
Question 6
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60\circ above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 10.0 m
B. 15.0 m
C. 20.0 m
D. 25.0 m
Question 7
A gas at a pressure of 1 atm and a temperature of 200 K is cooled to a temperature of 100 K. If the volume of the gas is 5 L, calculate the final pressure of the gas.
A. 0.5 atm
B. 1 atm
C. 1.5 atm
D. 2 atm
Question 8
A body of mass 2 kg is moving with a velocity of 5 m/s. If the body is subjected to a force of 10 N, what is its acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 5 m/s^2
Question 9
A radioactive sample has a half-life of 5 years. If the initial activity is 1000 Bq, what is the activity after 10 years?
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 10
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and then 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 11
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?
A. 0.001 g
B. 0.01 g
C. 0.1 g
D. 1 g
Question 12
A parallel plate capacitor has a capaci\tance of 10 μF. If the potential difference between the plates is 50 V, what is the charge stored on the capacitor?
A. 50 μC
B. 100 μC
C. 200 μC
D. 500 μC
Question 13
A gas is contained in a cylinder with a movable piston. The gas is heated, cau\sing the piston to move. If the initial pressure is 100 kPa, and the final pressure is 200 kPa, what is the change in temperature in Kelvin?
A. 50 K
B. 100 K
C. 200 K
D. 500 K
Question 14
A gas at a pressure of 2 atm and a temperature of 300 K expands to a volume of 5 L. If the gas is ideal, what is the final pressure?
A. 1.2 atm
B. 1.5 atm
C. 1.8 atm
D. 2.0 atm
Question 15
A particle of mass 1 kg is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the circular path is 2 m, calculate the magnitude of the centripetal force.
A. 10 N
B. 15 N
C. 20 N
D. 25 N

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