POST UTME ELIZADE UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 5 kg block 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 released from rest. 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 2
A 10 μF capacitor is connected in series with a 20 Ω resistor. If the frequency of the alternating current is 50 Hz, calculate the impedance of the circuit.
A. 20 Ω
B. 40 Ω
C. 60 Ω
D. 80 Ω
Question 3
A quantum particle has a wave function given by ( psi(x) = Ae^{-\alpha x^2} ). What is the probability density of the particle?
A. \( \frac{A^2}{\alpha} e^{-2\alpha x^2} \)
B. \( A^2 e^{-\alpha x^2} \)
C. \( \frac{A^2}{\alpha^2} e^{-2\alpha x^2} \)
D. \( A^2 e^{-2\alpha x^2} \)
Question 4
A particle is moving in a circular path with a radius of 3 m. If the particle completes one revolution in 2 s, what is its angular velocity?
A. 0.5 rad/s
B. 1 rad/s
C. 2 rad/s
D. 3 rad/s
Question 5
A 2.5 V battery is connected in series with a 10 Ω resistor and a 5 μF capacitor. The capacitor is initially uncharged. What is the time cons\tant of the RC circuit?
A. 50 μs
B. 100 μs
C. 200 μs
D. 500 μs
Question 6
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 50 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 100 Ω
B. 200 Ω
C. 300 Ω
D. 400 Ω
Question 7
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 40 Ω resistor connected in parallel. If a potential difference of 20 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 8
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing it to expand. If the piston is allowed to move freely, what will happen to the pressure of the gas?
A. The pressure will increase
B. The pressure will decrease
C. The pressure will remain cons\tant
D. The pressure will increase and then decrease
Question 9
A gas occupies a volume of 2 L at a pressure of 1 atm. If the pressure is increased to 3 atm, what is the new volume of the gas?
A. 1 L
B. 2 L
C. 3 L
D. 4 L
Question 10
A 5 kg block is moving on a frictionless surface with a speed of 10 m/s. If a force of 20 N is applied to the block in the direction of motion, what is the acceleration of the block?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 5 m/s^2
Question 11
A capacitor consists of two parallel plates separated by a dis\tance of 3 mm. If the capaci\tance of the capacitor is 20 μF, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?
A. 200 μC
B. 300 μC
C. 400 μC
D. 500 μC
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 angle between the velocity vector and the radius vector at the ins\tant when the particle is at the top of its path?
A. π/2
B. π/3
C. π/4
D. π/6
Question 13
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 40 Ω resistor. If a potential difference of 20 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 14
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. 20 m
C. 30 m
D. 40 m
Question 15
A wave has a frequency of 100 Hz and a wavelength of 0.5 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity at the ins\tant when the wave is pas\sing through the point x = 0.25 m?
A. positive x-direction
B. negative x-direction
C. positive y-direction
D. negative y-direction

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