POST UTME BOWEN UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A simple harmonic motion has an amplitude of 2 m and a frequency of 3 Hz. If the initial phase angle is 30°, what is the equation of motion?
A. \text{x}(t) = 2 \cdot \sin\( 6t + 30° \)
B. \text{x}(t) = 2 \cdot \sin\( 6t - 30° \)
C. \text{x}(t) = 2 \cdot \cos\( 6t + 30° \)
D. \text{x}(t) = 2 \cdot \cos\( 6t - 30° \)
Question 2
A block of mass $m$ is moving with a speed $v$ on a frictionless surface. The block collides with a stationary block of mass $M$. If the collision is perfectly inelastic, what is the final velocity $v_{final}$ of the combined blocks?
A. \frac{mv}{m+M}
B. \frac{m+M}{mv}
C. \frac{M}{m+M}
D. \frac{m}{M+m}
Question 3
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. Calculate the speed of the wave.
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 4
A vector A has a magnitude of 5 m and makes an angle of 60° with the x-axis. If vector B has a magnitude of 3 m and makes an angle of 30° with the x-axis, what is the magnitude of the resul\tant vector A + B?
A. 4 m
B. 5 m
C. 6 m
D. 7 m
Question 5
A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s
Question 6
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 7
A light source is placed 2 m away from a convex lens with a focal length of 0.5 m. What is the image dis\tance?
A. -1 m
B. -2 m
C. -3 m
D. -4 m
Question 8
A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?
A. \sqrt{\frac{k}{m}}x
B. \frac{k}{m}x
C. \frac{m}{k}x
D. \frac{k}{x}m
Question 9
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?
A. 1000 J
B. 2000 J
C. 3000 J
D. 4000 J
Question 10
A particle moves in a circular path with a radius of 2 m and a speed of 4 m/s. If the particle is displaced by 1 m from its initial position, what is the change in its kinetic energy?
A. 2 J
B. 4 J
C. 6 J
D. 8 J
Question 11
A parallel plate capacitor consists of two plates, each of area $A$ and separation $d$. The capacitor is charged to a potential difference $V$ and then disconnected from the power source. If the plates are moved closer together by a dis\tance $x$, what is the new capaci\tance $C_{new}$?
A. \frac{\epsilon_0 A}{d-x}
B. \frac{\epsilon_0 A}{d+x}
C. \frac{\epsilon_0 A}{d}
D. \frac{\epsilon_0 A}{d^2}
Question 12
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 13
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 centripetal acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 14
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. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 15
A body of mass 2 kg is moving with a velocity of 5 m/s. If the body is subjected to a force of 10 N, what is the acceleration of the body?
A. 2 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 15 m/s^2

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