POST UTME CHRISTOPHER UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subject to a centripetal force of 20 N, what is the magnitude of the force?
A. 15 N
B. 20 N
C. 25 N
D. 30 N
Question 2
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?
A. 3 m/s^2
B. 4 m/s^2
C. 5 m/s^2
D. 6 m/s^2
Question 3
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 4
A magnetic field of 0.5 T is applied to a coil of wire with 100 turns and a radius of 0.1 m. If the current in the coil is 2 A, calculate the torque experienced by the coil.
A. \tau = 0.1 Nm
B. \tau = 0.5 Nm
C. \tau = 1 Nm
D. \tau = 2 Nm
Question 5
A block of mass $M$ is placed on a frictionless surface and attached to a horizontal spring with force cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. \sqrt{k/M}
B. \sqrt{k/M}
C. \sqrt{k/M}
D. \sqrt{k/M}
Question 6
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the current flowing through the circuit.
A. 1.5 A
B. 2 A
C. 2.5 A
D. 3 A
Question 7
A force of 10 N acts on an object, cau\sing it to accelerate at 2 m/s². If the object's mass is 5 kg, calculate its initial velocity.
A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s
Question 8
A ray of light passes through a prism and is re\fracted. The angle of incidence is $i = 30^\circ$, the angle of re\fraction is $r = 20^\circ$, and the angle of deviation is $D = 40^\circ$. What is the re\fractive index of the prism?
A. \( \frac{\sin 30^\circ}{\sin 20^\circ} \)
B. \( \frac{\sin 20^\circ}{\sin 30^\circ} \)
C. \( \frac{\sin 40^\circ}{\sin 20^\circ} \)
D. \( \frac{\sin 30^\circ}{\sin 40^\circ} \)
Question 9
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 10
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 11
A wave of frequency 50 Hz and amplitude 0.2 m is traveling along a string. If the wave is reflected from a fixed \end, what is the amplitude of the reflected wave?
A. 0.2 m
B. 0.3 m
C. 0.4 m
D. 0.5 m
Question 12
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 13
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 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 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 15
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

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