POST UTME CHRISTOPHER UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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%, calculate the work done per cycle.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 2
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 battery. What is the electric field between the plates?
A. V/d
B. V/d
C. V/d
D. V/d
Question 3
A particle of mass 1 kg is moving in a simple harmonic motion with an angular frequency of 2 rad/s. If the particle is at its maximum displacement of 0.5 m, what is its velocity?
A. 0 m/s
B. 1 m/s
C. 2 m/s
D. 3 m/s
Question 4
A block of mass 3 kg is placed on a horizontal, frictionless surface. A horizontal force of 30 N is applied to the block, cau\sing it to accelerate at 6 m/s^2. What is the normal force exerted by the surface on the block?
A. 20 N
B. 30 N
C. 40 N
D. 50 N
Question 5
A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m and a speed of 2 m/s. If the particle is subject to a centripetal force of 10 N, calculate the time period of the particle.
A. T = 1 s
B. T = 2 s
C. T = 3 s
D. T = 4 s
Question 6
A ray of light passes from air into a glass slab with a re\fractive index of 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 22.5°
C. 25°
D. 27.5°
Question 7
A capacitor consists of two parallel plates, each of area 0.2 m^2, separated by a dis\tance of 0.02 m. If the capaci\tance of the capacitor is 2 * 10^-6 F, what is the charge stored on the capacitor when a potential difference of 20 V is applied across it?
A. 4 * 10^-5 C
B. 4 * 10^-4 C
C. 4 * 10^-3 C
D. 4 * 10^-2 C
Question 8
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the particle's motion.
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 9
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 10
A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. What is the intensity of the sound wave?
A. \frac{1}{2} \rho v A^2 \omega^2
B. \frac{1}{2} \rho v A^2 \omega^2
C. \frac{1}{2} \rho v A^2 \omega^2
D. \frac{1}{2} \rho v A^2 \omega^2
Question 11
A wave of frequency 100 Hz and amplitude 0.1 m is traveling along a string. If the wave is reflected from a fixed \end, what is the amplitude of the reflected wave?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 12
A quantum particle is confined to a one-dimensional box with a length of 1 m. If the particle has an energy of 10 eV, calculate the momentum of the particle.
A. p = 1 kg m/s
B. p = 2 kg m/s
C. p = 3 kg m/s
D. p = 4 kg m/s
Question 13
A gas is contained in a cylinder with a volume of 2 L and a pressure of 1 atm. If the temperature is increased by 10°C, calculate the new pressure of the gas.
A. P_2 = 1.1 atm
B. P_2 = 1.2 atm
C. P_2 = 1.3 atm
D. P_2 = 1.4 atm
Question 14
A light beam is incident on a glass plate with a re\fractive index of 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. \theta_2 = 20°
B. \theta_2 = 30°
C. \theta_2 = 40°
D. \theta_2 = 50°
Question 15
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 of the particle?
A. 0
B. \frac{L}{2}
C. L
D. L/2

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