POST UTME UNILAG 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 2
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the probability density of the particle?
A. A^2e^\( -2αx^2 \)
B. A^2e^\( -αx^2 \)
C. A^2e^\( αx^2 \)
D. A^2e^\( -2αx^4 \)
Question 3
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 0.75 A
D. 1 A
Question 4
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 300 Ω resistor. What is the total resis\tance?
A. 200 Ω
B. 300 Ω
C. 400 Ω
D. 600 Ω
Question 5
A pressure gauge reads 200 kPa. If the atmospheric pressure is 101 kPa, what is the gauge pressure?
A. 99 kPa
B. 100 kPa
C. 101 kPa
D. 102 kPa
Question 6
A magnetic field of strength 0.5 T is applied to a current-carrying wire of length 2 m. If the current is 5 A, what is the force experienced by the wire?
A. 0.5 N
B. 1.0 N
C. 1.5 N
D. 2.0 N
Question 7
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
Question 8
A magnetic field B is given by B = μ₀H. If the magnetic field strength H is 10 A/m, what is the value of the magnetic cons\tant μ₀?
A. \( mu_0 = 4pi \times 10^{-7} , \text{T m/A} \)
B. \( mu_0 = 2pi \times 10^{-7} , \text{T m/A} \)
C. \( mu_0 = pi \times 10^{-7} , \text{T m/A} \)
D. \( mu_0 = \frac{1}{4pi} \times 10^{-7} , \text{T m/A} \)
Question 9
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 10
A gas at 300 K and 1 atm expands to 2 atm. What is the new volume of the gas?
A. 0.5 m^3
B. 1 m^3
C. 2 m^3
D. 4 m^3
Question 11
A radioactive sample has a half-life of 10 days. If the initial activity is 1000 Bq, what is the activity after 20 days?
A. 500 Bq
B. 750 Bq
C. 1000 Bq
D. 1250 Bq
Question 12
A 2 kg block is attached to a horizontal, massless 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. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through its equilibrium position.
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s
Question 13
A 5 A current flows through a 10 Ω resistor. What is the power dissipated by the resistor?
A. 25 W
B. 50 W
C. 100 W
D. 200 W
Question 14
A wave function ψ(x) is given by ψ(x) = Ae^\( -αx^2 \). If the wave function is normalized, what is the value of A?
A. \( A = \sqrt{\frac{1}{\sqrt{pi}}} \)
B. \( A = \sqrt{\frac{1}{pi}} \)
C. \( A = \sqrt{\frac{1}{2pi}} \)
D. \( A = \sqrt{\frac{1}{4pi}} \)
Question 15
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. The engine produces 100 J of work per cycle. Calculate the efficiency of the engine.
A. 20%
B. 30%
C. 40%
D. 50%

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