POST UTME CHRISTOPHER UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 200 V, 50 Hz AC supply is connected to a resistor of 10 Ω. Calculate the rms value of the current flowing through the resistor.
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 2
A magnetic field of 0.5 T is directed perp\endicular to the plane of a circular loop of wire with a radius of 0.1 m. Calculate the magnetic flux through the loop.
A. 5\times 10^{-4} Wb
B. 10^{-4} Wb
C. 5\times 10^{-5} Wb
D. 10^{-5} Wb
Question 3
A sound wave has a frequency of $f = 200 \, \text{Hz}$ and a speed of $v = 343 \, \text{m/s}$. What is the wavelength of the sound wave?
A. 1.71 \, \text{m}
B. 2.86 \, \text{m}
C. 4.29 \, \text{m}
D. 5.71 \, \text{m}
Question 4
A parallel plate capacitor has a capaci\tance of $C = 2 \times 10^{-6} \, \text{F}$ and is charged to a potential difference of $V = 100 \, \text{V}$. The plates are then disconnected from the power source and the dis\tance between them is increased to $d = 5 \, \text{mm}$. What is the new potential difference across the plates?
A. 50 \, \text{V}
B. 75 \, \text{V}
C. 100 \, \text{V}
D. 125 \, \text{V}
Question 5
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 6
A 1000 W heater is used to heat water in a thermos flask. If the heater operates at 90% efficiency, calculate the rate of heat transfer from the heater to the water.
A. 900 W
B. 1000 W
C. 1100 W
D. 1200 W
Question 7
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 net force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 8
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. The engine receives 1000 J of heat from the high-temperature reservoir and rejects 600 J of heat to the low-temperature reservoir. Calculate the efficiency of the engine.
A. 0.4
B. 0.5
C. 0.6
D. 0.7
Question 9
A particle of mass 2 kg is attached to a spring with a force cons\tant of 100 N/m. The particle 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. 10 rad/s
B. 5 rad/s
C. 20 rad/s
D. 15 rad/s
Question 10
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, calculate the activity of the sample after 10 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 11
A body of mass 2 kg is moving in a circular path with a radius of 3 m. If the body is moving at a speed of 4 m/s, calculate the centripetal acceleration of the body.
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 12
A capacitor consists of two parallel plates, each with an area of 0.01 m^2 and separated by a dis\tance of 0.001 m. The plates are charged to a potential difference of 10 V. Calculate the capaci\tance of the capacitor.
A. 10^-9 F
B. 10^-10 F
C. 10^-11 F
D. 10^-12 F
Question 13
A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. Calculate the angular frequency of the motion.
A. 6 rad/s
B. 12 rad/s
C. 18 rad/s
D. 24 rad/s
Question 14
A wave with a frequency of 20 Hz and a wavelength of 0.5 m is traveling through a medium. Calculate the speed of the wave.
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 15
A simple harmonic motion has a period of $T = 2 \, \text{s}$ and an amplitude of $A = 0.5 \, \text{m}$. What is the angular frequency of the motion?
A. 1.57 \, \text{rad/s}
B. 3.14 \, \text{rad/s}
C. 6.28 \, \text{rad/s}
D. 10.47 \, \text{rad/s}

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