POST UTME LEAD CITY UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine produces 100 J of work per cycle, determine the efficiency of the engine.
A. 20%
B. 30%
C. 40%
D. 50%
Question 2
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 3
A block of mass 2 kg 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 the equilibrium position.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 4
A parallel plate capacitor has a capaci\tance of 2.5 μF. If a potential difference of 10 V is applied across the plates, what is the charge stored on each plate?
A. 25 μC
B. 50 μC
C. 100 μC
D. 200 μC
Question 5
A 12 V battery is connected in series with a 10 Ω resistor. What is the current flowing through the circuit?
A. 1.2 A
B. 2 A
C. 3 A
D. 4 A
Question 6
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 ψ(x) = √\( 2/L \) \sin\( πx/L \). What is the expectation value of the position operator x?
A. 0
B. L/2
C. L
D. πL/2
Question 7
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 8
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, determine the time of flight and the maximum height reached by the projectile.
A. 4 s, 10 m
B. 6 s, 15 m
C. 8 s, 20 m
D. 10 s, 25 m
Question 9
A 10 V battery is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the current in the circuit?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 10
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, determine the angle between the force and the radius vector.
A. 30°
B. 45°
C. 60°
D. 90°
Question 11
A spring of force cons\tant 100 N/m is stretched by 2 m. What is the work done in stretching the spring?
A. 200 J
B. 400 J
C. 600 J
D. 800 J
Question 12
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 5.33 m/s^2
B. 6.66 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 13
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 5.66 m/s
B. 6.66 m/s
C. 8 m/s
D. 10 m/s
Question 14
A block of mass 5 kg is moving with a velocity of 2 m/s. It collides with a stationary block of mass 10 kg. What is the velocity of the combined blocks after the collision?
A. 0.5 m/s
B. 1 m/s
C. 2 m/s
D. 3 m/s
Question 15
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If a potential difference of 10 V is applied across the plates, calculate the energy stored in the capacitor.
A. 2.5 x 10^-10 J
B. 5 x 10^-10 J
C. 1 x 10^-9 J
D. 2 x 10^-9 J

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