POST UTME CHRISTOPHER UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
A gas expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3 at a cons\tant temperature of 300 K. If the initial pressure is 100 kPa, what is the final pressure?
A. 20 kPa
B. 30 kPa
C. 40 kPa
D. 50 kPa
Question 4
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 5
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 6
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 7
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 8
A heat engine operates between the temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?
A. 1000 J
B. 1500 J
C. 2000 J
D. 2500 J
Question 9
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}
Question 10
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 11
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 12
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 13
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_1\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the expectation value of the position of the particle?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{3}
Question 14
A capacitor consists of two parallel plates, each with a surface area of 0.1 m^2. The dis\tance between the plates is 0.01 m. If the capaci\tance is 10 nF, what is the charge stored on the capacitor when a potential difference of 5 V is applied?
A. 50 nC
B. 100 nC
C. 150 nC
D. 200 nC
Question 15
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

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