POST UTME EKSU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2.5 kg block of wood is susp\ended from a spring with a force cons\tant of 200 N/m. If the block is displaced by 0.15 m from its equilibrium position and released, what is the maximum speed of the block as it passes through the equilibrium position?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 2
A 50 Hz AC voltage source is connected to a 100 Ω resistor. If the maximum current is 2 A, what is the power factor of the circuit?
A. 0.5
B. 0.7
C. 0.8
D. 0.9
Question 3
A particle of mass m is moving in a straight line with an initial velocity v0. If the particle experiences a cons\tant acceleration a, what is the velocity of the particle after a time t?
A. \( v_0 + at \)
B. \( v_0 - at \)
C. \( v_0 \sqrt{1 + at} \)
D. \( v_0 \sqrt{1 - at} \)
Question 4
A block of mass 5 kg is placed on a horizontal, frictionless surface. A horizontal force of 20 N is applied to the block. If the block starts from rest, what is its velocity after 2 seconds?
A. 10 m/s
B. 20 m/s
C. 5 m/s
D. 4 m/s
Question 5
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, calculate the centripetal force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 6
A rigid rod of length L is pivoted at one \end. If a force F is applied at the other \end, what is the torque acting on the rod?
A. \( FL \sin\( \theta \)
B. \( FL \cos\( \theta \)
C. \( FL \tan\( \theta \)
D. \( FL \csc\( \theta \)
Question 7
A block of mass m is attached to a horizontal spring with a spring cons\tant k. If the block is displaced by a dis\tance x and then released, what is the maximum speed of the block?
A. \( \sqrt{\frac{kx^2}{m}} \)
B. \( \frac{kx^2}{m} \)
C. \( \frac{mx^2}{k} \)
D. \( \frac{k^2x^2}{m^2} \)
Question 8
A gas is compressed at a cons\tant temperature from an initial volume of 10^-3 m^3 to a final volume of 10^-4 m^3. If the initial pressure is 10^5 Pa, what is the final pressure?
A. 2 x 10^5 Pa
B. 3 x 10^5 Pa
C. 4 x 10^5 Pa
D. 5 x 10^5 Pa
Question 9
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 m. If the motion starts from its equilibrium position, what is the displacement of the particle at time t = 0.5 s?
A. 2.5 m
B. 3.5 m
C. 4.5 m
D. 5.5 m
Question 10
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.45 A
B. 0.50 A
C. 0.55 A
D. 0.60 A
Question 11
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is its speed?
A. 10 m/s
B. 25 m/s
C. 50 m/s
D. 100 m/s
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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 13
A radioactive sample has a half-life of 5 days. If the initial activity is 1000 Bq, what is the activity after 15 days?
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 14
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. If the block starts from rest and moves with a cons\tant acceleration of 2 m/s^2, what is the work done by the force?
A. 20 J
B. 30 J
C. 40 J
D. 50 J
Question 15
A heat engine operates between two temperatures, 300 K and 400 K. If the efficiency of the engine is 20%, what is the work done by the engine in one cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J

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