POST UTME UNILAG 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Calculate the magnitude of the force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 3
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 4
A 12 V battery is connected to a circuit with a 4 Ω resistor. What is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 5
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 6
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 7
A circuit consists of a 12 V battery, a 4 Ω resistor, and an unknown resistor R. The current in the circuit is 2 A. U\sing Kirchhoff's laws, calculate the value of R.
A. 2 Ω
B. 4 Ω
C. 6 Ω
D. 8 Ω
Question 8
A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?
A. \( I = 0.45 , \text{A} \)
B. \( I = 0.50 , \text{A} \)
C. \( I = 0.55 , \text{A} \)
D. \( I = 0.60 , \text{A} \)
Question 9
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 10
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's angular momentum is 6 kg m^2/s, what is its linear momentum?
A. \( p = 2 , \text{kg m/s} \)
B. \( p = 4 , \text{kg m/s} \)
C. \( p = 6 , \text{kg m/s} \)
D. \( p = 8 , \text{kg m/s} \)
Question 11
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 12
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 13
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -30 cm. What is the focal length of the combination?
A. \( f = 10 , \text{cm} \)
B. \( f = -10 , \text{cm} \)
C. \( f = 15 , \text{cm} \)
D. \( f = -15 , \text{cm} \)
Question 14
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 15
A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the potential energy stored in the spring?
A. 100 J
B. 200 J
C. 300 J
D. 400 J

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