POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what is the new centripetal force required to maintain the circular path?
A. \( \frac{2mv^2}{r} \)
B. \( \frac{mv^2}{2r} \)
C. \( \frac{mv^2}{4r} \)
D. \( \frac{mv^2}{r^2} \)
Question 2
A body of mass 2 kg is moving in a circular path with a velocity of 4 m/s. If the radius of the path is 1.5 m, calculate the centripetal force acting on the body.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 3
A body is moving in a straight line with an initial velocity of 5 m/s and a final velocity of 10 m/s. If the dis\tance traveled is 20 m, calculate the acceleration of the body.
A. 0.5 m/s^2
B. 1 m/s^2
C. 1.5 m/s^2
D. 2 m/s^2
Question 4
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 5
A 5 kg object is moving in a circular path with a radius of 2 m at a speed of 4 m/s. What is the magnitude of the centripetal force acting on the object?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 6
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. What is the energy stored in the capacitor?
A. 0.12 J
B. 0.24 J
C. 0.36 J
D. 0.48 J
Question 7
A simple harmonic motion has a period of $T = 2 s$. If the amplitude of the motion is $A = 0.1 m$, what is the angular frequency of the motion?
A. 1.57 rad/s
B. 3.14 rad/s
C. 6.28 rad/s
D. 12.56 rad/s
Question 8
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 9
A 2 kg object 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 object?
A. \( 10 \, \text{N} \)
B. \( 20 \, \text{N} \)
C. \( 30 \, \text{N} \)
D. \( 40 \, \text{N} \)
Question 10
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_1(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?
A. 0.25
B. 0.5
C. 0.75
D. 1
Question 11
A parallel plate capacitor has a capaci\tance of $C = 2 \times 10^{-6} F$. The plates are separated by a dis\tance of $d = 0.01 m$. If a potential difference of $V = 10 V$ is applied across the plates, what is the charge stored on the capacitor?
A. 0.02 C
B. 0.02 \times 10^{-6} C
C. 0.2 C
D. 0.2 \times 10^{-6} C
Question 12
A vector $\vec{A}$ has a magnitude of $A = 5 m$ and a direction of $30^\circ$ north of east. A vector $\vec{B}$ has a magnitude of $B = 3 m$ and a direction of $60^\circ$ south of west. What is the magnitude of the resul\tant vector $\vec{R} = \vec{A} + \vec{B}$?
A. 5.83 m
B. 6.36 m
C. 7.07 m
D. 8.06 m
Question 13
A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. Determine the wavelength of the sound wave.
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 14
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. 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 15
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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2

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