POST UTME CHRISTOPHER UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 1000 kg car is traveling at 20 m/s when the brakes are applied. If the car is brought to rest in 4 s, what is the average force exerted on the car?
A. 2500 N
B. 5000 N
C. 7500 N
D. 10000 N
Question 2
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position operator $hat{x}$ in the state $psi(x)$?
A. 0
B. \frac{L}{2}
C. L
D. \frac{n\pi L}{2}
Question 3
A 0.50 kg block is placed on a frictionless surface and given an initial velocity of 2.0 m/s. The block undergoes a cons\tant acceleration of 1.5 m/s^2. Calculate the time it takes for the block to come to rest.
A. 1.0 s
B. 2.0 s
C. 3.0 s
D. 4.0 s
Question 4
A 10 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 3 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 6 m/s
B. 8 m/s
C. 10 m/s
D. 12 m/s
Question 5
A 1000 Hz sound wave has a wavelength of 0.50 m. Calculate the speed of the sound wave.
A. 200 m/s
B. 400 m/s
C. 600 m/s
D. 800 m/s
Question 6
A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. If the daughter nucleus has a mass number of 236 and an atomic number of 90, what is the energy released in the decay?
A. 5 MeV
B. 10 MeV
C. 15 MeV
D. 20 MeV
Question 7
A parallel plate capacitor with plate area A and separation d is connected to a 12 V battery. If the capaci\tance is 2 μF, what is the charge stored on the capacitor?
A. 24 μC
B. 48 μC
C. 96 μC
D. 192 μC
Question 8
A 0.50 kg block is placed on a frictionless surface and given an initial velocity of 2.0 m/s. The block undergoes a cons\tant acceleration of 1.5 m/s^2. Calculate the dis\tance traveled by the block in 3.0 s.
A. 3.0 m
B. 4.5 m
C. 6.0 m
D. 7.5 m
Question 9
A sound wave of frequency $f$ and amplitude $A$ is propagating through a medium of density $\rho$ and speed of sound $v$. What is the intensity of the sound wave?
A. \frac{1}{2} \rho v A^2
B. \rho v A^2
C. \frac{1}{4} \rho v A^2
D. \frac{1}{4} \rho v A^2
Question 10
A gas at pressure P1 and volume V1 is heated to a temperature T2. If the final pressure is P2, what is the final volume?
A. 0.2 m^3
B. 0.4 m^3
C. 0.6 m^3
D. 0.8 m^3
Question 11
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. If the speed of sound is 343 m/s, what is the amplitude of the wave?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 12
A sound wave of frequency $f$ and amplitude $A$ is propagating through a medium of density $\rho$ and speed of sound $v$. What is the energy of the sound wave?
A. \\frac{1}{2} \\rho v A^2 \\frac{4\\pi^2 f^2}{v}
B. \frac{1}{2} \rho v A^2 \frac{4\pi^2 f}{v}
C. \frac{1}{2} \rho v A^2 \frac{4\pi^2 f^2}{\rho}
D. \frac{1}{2} \rho v A^2 \frac{4\pi^2 f}{\rho}
Question 13
A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. The angle of deviation $D$ is given by $D = A + B$. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $40^\circ$, what is the angle of deviation $D$?
A. 60^\circ
B. 70^\circ
C. 80^\circ
D. 90^\circ
Question 14
A parallel-plate capacitor consists of two plates, each with an area of 0.05 m^2 and separated by a dis\tance of 0.005 m. The capacitor is charged to a potential difference of 10 V. Calculate the capaci\tance of the capacitor.
A. 0.01 F
B. 0.02 F
C. 0.03 F
D. 0.04 F
Question 15
A 100 W light bulb is connected to a 120 V power source. Calculate the current flowing through the light bulb.
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A

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