POST UTME NILE UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 2 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. 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. 1 m/s
B. 2 m/s
C. 4 m/s
D. 5 m/s
Question 2
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a 12 V battery is connected across the circuit, what is the current through the 5 Ω resistor?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 3
A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. What is the angular frequency?
A. 6 π rad/s
B. 12 π rad/s
C. 18 π rad/s
D. 24 π rad/s
Question 4
A 5 µmF capacitor is connected in parallel with a 10 µmF capacitor. If the voltage across the capacitors is 50 V, what is the charge on the 5 µmF capacitor?
A. 0.25 µC
B. 0.50 µC
C. 1.00 µC
D. 2.00 µC
Question 5
A radioactive sample has an initial activity of 100 Bq. After 5 minutes, its activity decreases to 50 Bq. What is the half-life of the sample?
A. 10 min
B. 20 min
C. 30 min
D. 40 min
Question 6
A particle of mass m is in a one-dimensional potential well of width L. The wave function of the particle is given by ψ(x) = A \sin(kx) for 0 < x < L. What is the energy E of the particle?
A. \frac{\hbar^2 k^2}{2m}
B. \frac{\hbar^2}{2m}
C. \frac{2m}{\hbar^2 k^2}
D. \frac{2m\hbar^2}{k^2}
Question 7
A current I flows through a wire of resis\tance R. The wire is bent into a circular loop of radius r. What is the magnetic field B at the center of the loop?
A. \frac{\mu_0 I}{2r}
B. \frac{\mu_0 I}{r}
C. \frac{\mu_0 I}{4r}
D. \frac{\mu_0 I}{8r}
Question 8
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 9
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and then released. What is the maximum speed of the block?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 10
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following best describes the change in the gas's volume?
A. The volume of the gas increases.
B. The volume of the gas decreases.
C. The volume of the gas remains cons\tant.
D. The volume of the gas becomes negative.
Question 11
A 10 µmF capacitor is connected in series with a 20 µmF capacitor and a 50 µF resistor. If the voltage across the capacitor is 100 V, what is the current through the circuit?
A. 0.25 A
B. 0.50 A
C. 1.00 A
D. 2.00 A
Question 12
A 10 μF capacitor is connected in parallel with a 20 μF capacitor and a 50 Ω resistor. If the voltage across the circuit is 12 V, what is the current flowing through the resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 13
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2.0 atm, what is the final pressure?
A. 4.0 atm
B. 3.0 atm
C. 2.5 atm
D. 2.0 atm
Question 14
A uniform solid sphere of radius R and density ρ is placed in a liquid of density σ. The sphere floats with a \fraction of its volume V submerged in the liquid. U\sing the principle of buoyancy, derive an expression for the \fraction of the sphere's volume that is submerged.
A. 1 - \frac{\rho_{sphere}}{\rho_{liquid}}
B. \frac{\rho_{sphere}}{\rho_{liquid}}
C. \frac{\rho_{liquid}}{\rho_{sphere}}
D. 1 + \frac{\rho_{sphere}}{\rho_{liquid}}
Question 15
A body of mass 2 kg is moving in a circular path with a speed of 4 m/s. What is the centripetal acceleration?
A. 8 m/s^2
B. 10 m/s^2
C. 12 m/s^2
D. 16 m/s^2

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