POST UTME REDEEMERS UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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, what is the maximum speed of the particle?
A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s
Question 2
A block of mass 4 kg is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant of 150 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the block.
A. 5 rad/s
B. 10 rad/s
C. 15 rad/s
D. 20 rad/s
Question 3
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 10 m
B. 20 m
C. 30 m
D. 40 m
Question 4
A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 5
A vector $\vec{A}$ has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. What is the x-component of the vector?
A. 2.5 units
B. 3.5 units
C. 4.5 units
D. 5.5 units
Question 6
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{v^2}{r^2}
C. \frac{v^3}{r}
D. \frac{v^3}{r^2}
Question 7
A radioactive sample of Uranium-238 undergoes \alpha decay. If the half-life of Uranium-238 is 4.5 billion years, what is the decay cons\tant (λ) in s^-1?
A. 1.54 x 10^-18
B. 1.54 x 10^-17
C. 1.54 x 10^-16
D. 1.54 x 10^-15
Question 8
A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If a vector B has a magnitude of 3 units and makes an angle of 60° with the positive x-axis, calculate the magnitude of the resul\tant vector A + B.
A. 4 units
B. 5 units
C. 6 units
D. 7 units
Question 9
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 10
A magnetic field of strength B = 0.5 T is directed perp\endicular to a current-carrying wire of length L = 1 m. If the current in the wire is I = 2 A, what is the force (F) exerted on the wire?
A. 2 BL \sin \theta
B. BL \sin \theta
C. BL \cos \theta
D. BL \tan \theta
Question 11
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and 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 12
A particle of mass 2 kg is moving in a circular path with a radius of 3 m and a speed of 4 m/s. Calculate the centripetal acceleration.
A. 1.33 m/s²
B. 1.67 m/s²
C. 2.0 m/s²
D. 2.5 m/s²
Question 13
A particle of mass 2 kg is moving in a circular path with a radius of 0.3 m. The particle is moving at a speed of 3 m/s. Calculate the centripetal acceleration of the particle.
A. 3 m/s^2
B. 6 m/s^2
C. 9 m/s^2
D. 12 m/s^2
Question 14
A particle of mass 3 kg is moving in a circular path with a radius of 0.4 m. The particle is moving at a speed of 2 m/s. Calculate the centripetal force acting on the particle.
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 15
A point charge $q$ is placed at the origin of a coordinate system. A second point charge $Q$ is placed at a dis\tance $r$ from the origin. What is the electric potential at the point $P$ located at a dis\tance $x$ from the origin?
A. \frac{kqQ}{r}
B. \frac{kqQ}{r^2}
C. \frac{kqQ}{x}
D. \frac{kqQ}{x^2}

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