POST UTME REDEEMERS UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas expands from an initial volume of 0.5 m^3 to a final volume of 1.5 m^3 at a cons\tant temperature of 300 K. Calculate the work done by the gas.
A. 150 J
B. 300 J
C. 450 J
D. 600 J
Question 2
A light source is placed 2 meters away from a convex lens of focal length 0.5 meters. What is the image dis\tance?
A. 1 meter
B. 2 meters
C. 3 meters
D. 4 meters
Question 3
A nucleus of mass number 238 has an atomic number of 92. What is the number of protons in the nucleus?
A. 90
B. 92
C. 94
D. 96
Question 4
A parallel-plate capacitor has plates of area $A$ and separation $d$. The capacitor is charged to a potential difference $V$. What is the energy stored in the capacitor?
A. \frac{1}{2}CV^2
B. \frac{1}{2}AV^2
C. \frac{1}{2}dV^2
D. \frac{1}{2}AVd
Question 5
A 100 Ω resistor is connected in series with a 50 Ω resistor and a 200 Ω resistor. What is the total resis\tance of the circuit?
A. 100 Ω
B. 150 Ω
C. 200 Ω
D. 250 Ω
Question 6
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, its subsequent motion is described by the equation $x(t) = A \cos\( omega t + phi \)$, where $A$ is the amplitude of the motion, $omega$ is the angular frequency, and $phi$ is the phase angle. If the particle is observed to have a maximum speed of $v_{max} = 2\sqrt{2} , \text{m/s}$, what is the value of the spring cons\tant $k$?
A. 10 N/m
B. 20 N/m
C. 30 N/m
D. 40 N/m
Question 7
A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum velocity of the particle.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 8
A particle of mass 0.5 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the particle.
A. 0.2 m/s
B. 0.4 m/s
C. 0.6 m/s
D. 0.8 m/s
Question 9
A wave has a frequency of 50 Hz and a wavelength of 0.1 m. If the wave is traveling through a medium with a speed of 100 m/s, calculate the wave number.
A. 200 rad/m
B. 400 rad/m
C. 600 rad/m
D. 800 rad/m
Question 10
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 6.67 Ω
B. 8.33 Ω
C. 10 Ω
D. 12.5 Ω
Question 11
A radioactive sample has a half-life of 10 years. If the initial activity is 1000 Bq, calculate the activity after 20 years.
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 13
A sound wave with a frequency of 200 Hz and an amplitude of 0.5 mm is traveling through a medium with a speed of 340 m/s. What is the wavelength of the sound wave?
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 14
A 100 Ω resistor is connected in parallel with a 200 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 50 Ω
B. 66.67 Ω
C. 100 Ω
D. 200 Ω
Question 15
A particle of mass 0.2 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 2 m/s, calculate the centripetal acceleration.
A. 0.1 m/s^2
B. 0.2 m/s^2
C. 0.3 m/s^2
D. 0.4 m/s^2

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