POST UTME UNIBEN 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A body is in equilibrium under the action of three forces. If the body is displaced slightly, it returns to its original position. What can be concluded about the forces acting on the body?
A. The forces are equal in magnitude and opposite in direction.
B. The forces are unequal in magnitude and opposite in direction.
C. The forces are equal in magnitude and parallel in direction.
D. The forces are unequal in magnitude and parallel in direction.
Question 2
A wave has a frequency of 50 Hz and a wavelength of 2 m. Calculate the speed of the wave.
A. 100 m/s
B. 200 m/s
C. 250 m/s
D. 300 m/s
Question 3
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 from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the kinetic energy of the block at time $t$.
A. \frac{1}{2}kx^2
B. \frac{1}{2}kx
C. \frac{1}{2}mx^2
D. \frac{1}{2}mx
Question 4
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 from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the force exerted by the spring on the block at time $t$.
A. -kx
B. kx
C. -\frac{k}{m}x
D. \frac{k}{m}x
Question 5
A beam of light is incident on a glass slab of thickness $t$ and re\fractive index $n$. If the angle of incidence is $\theta_i$, what is the angle of re\fraction?
A. $\frac{n \sin \theta_i}{n}$
B. $\frac{n}{\sin \theta_i}$
C. $\frac{\sin \theta_i}{n}$
D. $\frac{n \sin \theta_i}{\sin \theta_i}$
Question 6
A 1.0 kg object is moving in a circular path with a cons\tant speed of 5.0 m/s. If the radius of the path is 3.0 m, determine the centripetal force acting on the object.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 7
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 8
A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with 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 maximum speed of the block?
A. $\sqrt{\frac{kx^2}{m}}$
B. $\frac{kx^2}{m}$
C. $\frac{m}{kx^2}$
D. $\frac{kx^2}{m^2}$
Question 9
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. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 10
A charged particle moves through a magnetic field. If the particle's velocity is 5 m/s and the magnetic field strength is 2 T, what is the force exerted on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 11
A 0.5 kg object is moving in a circular path with a cons\tant speed of 4.0 m/s. If the radius of the path is 2.0 m, determine the centripetal acceleration of the object.
A. 2.0 m/s^2
B. 4.0 m/s^2
C. 6.0 m/s^2
D. 8.0 m/s^2
Question 12
A simple harmonic motion has a maximum displacement of 0.5 m and a period of 2 s. If the body is initially at rest at its equilibrium position, determine the equation of motion u\sing the formula x(t) = A \sin\( ωt + φ \).
A. x(t) = 0.5 \sin(πt)
B. x(t) = 0.5 \sin(2πt)
C. x(t) = 0.5 \sin\( πt + π/2 \)
D. x(t) = 0.5 \sin\( 2πt + π/2 \)
Question 13
A 3.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, determine the maximum speed of the block as it passes through the equilibrium position.
A. 2.0 m/s
B. 4.0 m/s
C. 6.0 m/s
D. 8.0 m/s
Question 14
A particle of mass $m$ is moving in a circular path with radius $r$ and angular velocity $\omega$. Find the potential energy of the particle.
A. \frac{1}{2}m\omega^2r^2
B. \frac{1}{2}m\omega^2r
C. \frac{1}{2}mr^2
D. \frac{1}{2}mr
Question 15
A 1.0 kg object is moving in a circular path with a cons\tant speed of 5.0 m/s. If the radius of the path is 3.0 m, determine the centripetal force acting on the object.
A. 10 N
B. 20 N
C. 30 N
D. 40 N

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