POST UTME ELIZADE UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is attached to a horizontal, massless 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 2
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following best describes the change in the gas's volume?
A. The volume of the gas decreases.
B. The volume of the gas increases.
C. The volume of the gas remains cons\tant.
D. The volume of the gas decreases and then increases.
Question 3
A parallel plate capacitor with plates of area $A$ and separation $d$ is connected to a battery of emf $V$. If the capacitor is then disconnected from the battery and a dielectric slab of thickness $t$ and dielectric cons\tant $K$ is inserted between the plates, find the new capaci\tance $C'$ in terms of $A$, $d$, $t$, $K$, and $V$.
A. \frac{AV}{d}\left\( 1+\frac{Kt}{d}\right \)
B. \frac{AV}{d}\left\( 1-\frac{Kt}{d}\right \)
C. \frac{AV}{d}\left\( 1+\frac{Kt}{d^2}\right \)
D. \frac{AV}{d}\left\( 1-\frac{Kt}{d^2}\right \)
Question 4
A solid sphere of radius $R$ and mass $M$ is placed at the bottom of a frictionless inclined plane of angle $\theta$. If the sphere starts rolling without slipping, find the speed $v$ of the sphere at the bottom of the plane in terms of $g$ and $R$.
A. \frac{\sqrt{2gR\( 1+\sin\theta \)}}{\sqrt{3}}
B. \frac{\sqrt{2gR\( 1-\sin\theta \)}}{\sqrt{3}}
C. \frac{\sqrt{2gR\( 1+\cos\theta \)}}{\sqrt{3}}
D. \frac{\sqrt{2gR\( 1-\cos\theta \)}}{\sqrt{3}}
Question 5
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. What is the magnitude of the net force acting on the particle?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 6
A 2 kg block is attached to a horizontal, massless string. The block is pulled to the right with a force of 10 N and then released from rest. What is the speed of the block when it passes through the equilibrium position?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 7
A radioactive sample decays with a half-life of $t_0$. If the initial number of nuclei is $N_0$, find the number of nuclei remaining after a time $t$ in terms of $N_0$, $t_0$, and $t$.
A. N_0\left\( \frac{1}{2}\right \)^{t/t_0}
B. N_0\left\( \frac{1}{2}\right \)^{t_0/t}
C. N_0\left\( \frac{1}{2}\right \)^{t_0-t/t_0}
D. N_0\left\( \frac{1}{2}\right \)^{t+t_0/t_0}
Question 8
A convex lens of focal length $f$ is placed in contact with a plane mirror. A point object is placed at a dis\tance $u$ from the lens. Find the image dis\tance $v$ in terms of $f$ and $u$.
A. \frac{f}{1-\frac{f}{u}}
B. \frac{f}{1+\frac{f}{u}}
C. \frac{f}{1-\frac{u}{f}}
D. \frac{f}{1+\frac{u}{f}}
Question 9
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. Find the time $t$ at which the particle reaches its maximum height $h$ in terms of $v_0$, $\theta$, and $g$.
A. \frac{v_0\sin\theta}{g}
B. \frac{v_0\cos\theta}{g}
C. \frac{v_0\sin\theta}{g^2}
D. \frac{v_0\cos\theta}{g^2}
Question 10
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°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°

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