POST UTME AL-HIKMAH UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. If the object is moved to a dis\tance of 60 cm from the lens, what is the new image dis\tance?
A. 40 cm
B. 60 cm
C. 80 cm
D. 120 cm
Question 2
A radioactive sample has a half-life of $T_{1/2}$. If the initial activity is $A_0$, what is the activity after a time $t$?
A. A_0 e^{-t/T_{1/2}}
B. A_0 e^{t/T_{1/2}}
C. A_0 + t/T_{1/2}
D. A_0 - t/T_{1/2}
Question 3
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. 5.33 m/s^2
B. 10.66 m/s^2
C. 20 m/s^2
D. 30 m/s^2
Question 4
A gas is confined to a cylinder of volume 2 m^3 at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas?
A. 2.5 m^3
B. 3.0 m^3
C. 3.5 m^3
D. 4.0 m^3
Question 5
A block of mass $m$ is attached to a horizontal, massless spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ and then released from rest. What is the block's angular frequency?
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 6
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V DC source is connected across the circuit, what is the current in the circuit?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 7
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, calculate the time taken for the particle to reach its maximum velocity.
A. 0.5 s
B. 1 s
C. 1.5 s
D. 2 s
Question 8
A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum value of the voltage is 100 V, what is the maximum value of the current in the circuit?
A. 2 A
B. 4 A
C. 1 A
D. 0.5 A
Question 9
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 10 years?
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 10
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. What is the effect on the gas's volume?
A. The volume decreases
B. The volume increases
C. The volume remains cons\tant
D. The volume becomes zero
Question 11
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. What is the projectile's range?
A. \frac{v_0^2}{g} \sin 2\theta
B. \frac{v_0^2}{g} \cos 2\theta
C. \frac{v_0^2}{g} \sin \theta
D. \frac{v_0^2}{g} \cos \theta
Question 12
A 10 μF capacitor is connected in parallel with a 20 Ω resistor and a 5 V battery. If the switch is closed at t = 0, what is the charge on the capacitor after 5 seconds?
A. 50 μC
B. 100 μC
C. 200 μC
D. 500 μC
Question 13
A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. The engine has an efficiency $\eta$ given by $\eta = 1 - \frac{T_2}{T_1}$. What is the maximum possible efficiency of the engine?
A. 1
B. \frac{T_2}{T_1}
C. 1 - \frac{T_2}{T_1}
D. \frac{T_1}{T_2}
Question 14
A sound wave with a frequency of 200 Hz and a wavelength of 1.5 m is traveling through a medium with a speed of 340 m/s. Calculate the amplitude of the wave.
A. 0.05 m
B. 0.1 m
C. 0.15 m
D. 0.2 m
Question 15
A particle of mass 2 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° to the horizontal. Assuming the acceleration due to gravity is 9.8 m/s², calculate the time taken for the particle to reach its maximum height.
A. 1.5 s
B. 2.0 s
C. 2.5 s
D. 3.0 s

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