POST UTME AL-HIKMAH UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 10 μF capacitor. If the maximum voltage across the capacitor is 100 V, what is the phase angle between the voltage and current?
A. π/6
B. π/4
C. π/3
D. π/2
Question 4
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 5
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 6
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 7
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 8
A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is its speed?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 9
A vector A has a magnitude of 5 units and makes an angle of 30° with the x-axis. What is the x-component of vector A?
A. 2.5 units
B. 3.5 units
C. 4.5 units
D. 5.5 units
Question 10
A block of mass 5.0 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.20 m from its equilibrium position and released from rest. What is the maximum speed of the block as it oscillates?
A. 0.50 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 11
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a current of 2 A flows through the circuit, what is the potential difference across the 20 Ω resistor?
A. 10 V
B. 20 V
C. 30 V
D. 40 V
Question 12
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 13
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 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 2 Ω resistor connected in series. What is the current in the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 15
A current of 5 A flows through a resistor of 10 Ω. What is the power dissipated in the resistor?
A. 25 W
B. 50 W
C. 75 W
D. 100 W

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