POST UTME BOWEN UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A beam of light is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 2
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a \sinusoidal voltage source of frequency $\omega$, what is the impedance of the circuit?
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}
C. \sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}
D. \sqrt{R^2 - \( \omega L + \frac{1}{\omega C} \)^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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 4
A gas is heated from 100 K to 300 K. If the initial volume is 2 L and the final volume is 5 L, calculate the work done by the gas.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 5
A particle of mass 0.5 kg is moving in a circular path of radius 1 m with a cons\tant speed of 2 m/s. If the particle is subject to a centripetal force of 5 N, calculate the time taken for the particle to complete one revolution.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 6
A block of mass $M$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the maximum speed of the block as a function of the displacement $x$?
A. \sqrt{\frac{k}{M}} x
B. \frac{k}{M} x
C. \frac{M}{k} x
D. \frac{\sqrt{k}}{\sqrt{M}} x
Question 7
A convex lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the object is moved to a dis\tance $2u$ from the lens, what is the new image dis\tance $v_{new}$?
A. \frac{f}{2}
B. \frac{2f}{u}
C. \frac{f}{4}
D. \frac{4f}{u}
Question 8
A magnetic field of strength 0.5 T is applied to a current-carrying wire of length 2 m. If the current in the wire is 5 A, what is the force experienced by the wire?
A. 0.5 N
B. 1.0 N
C. 1.5 N
D. 2.0 N
Question 9
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° 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 10
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. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 11
A heat engine operates between the temperatures of 500 K and 300 K. What is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 12
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position operator for this particle?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{3}
Question 13
A 5 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. What is the displacement of the block when it is in equilibrium?
A. 0.5 m
B. 1.0 m
C. 1.5 m
D. 2.0 m
Question 14
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 50 Ω resistor. What is the total resis\tance?
A. 350 Ω
B. 450 Ω
C. 550 Ω
D. 650 Ω
Question 15
A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the resulting simple harmonic motion?
A. \omega = \sqrt{\frac{k}{m}}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \sqrt{\frac{k}{m}} \sin\( \omega t \)
D. \omega = \sqrt{\frac{k}{m}} \cos\( \omega t \)

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