POST UTME EKSU 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 2.5 kg is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 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 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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 3
A parallel plate capacitor with plates of area 0.04 m^2 and separation 0.02 m is charged to a potential difference of 10 V. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance and the energy stored in the capacitor.
A. \( C = 0.01 F, U = 0.05 J \)
B. \( C = 0.02 F, U = 0.1 J \)
C. \( C = 0.03 F, U = 0.15 J \)
D. \( C = 0.04 F, U = 0.2 J \)
Question 4
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. Calculate the magnitude of the force acting on the particle.
A. 8 N
B. 10 N
C. 12 N
D. 14 N
Question 5
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, calculate the maximum speed of the block.
A. \( v_{max} = 2 m/s \)
B. \( v_{max} = 4 m/s \)
C. \( v_{max} = 6 m/s \)
D. \( v_{max} = 8 m/s \)
Question 6
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 angular velocity of the particle?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 7
A heat engine operates between the temperatures of 500 K and 300 K. If the engine absorbs 1000 J of heat energy from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 8
A gas is compressed from an initial volume of 2 L to a final volume of 1 L. If the initial pressure is 1 atm and the final pressure is 2 atm, what is the work done on the gas?
A. 1 L atm
B. 2 L atm
C. 3 L atm
D. 4 L atm
Question 9
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L, calculate the final volume of the gas.
A. 2 L
B. 4 L
C. 6 L
D. 8 L
Question 10
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 15 m
B. 20 m
C. 25 m
D. 30 m
Question 11
A block of mass 10 kg is placed on a frictionless surface. A horizontal force of 20 N is applied to the block. What is the acceleration of the block?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 12
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.
A. 5 Ω
B. 10 Ω
C. 20 Ω
D. 50 Ω
Question 13
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, calculate the power dissipated in the 6 Ω resistor.
A. \( P = 12 W \)
B. \( P = 16 W \)
C. \( P = 20 W \)
D. \( P = 24 W \)
Question 14
A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 2 m, calculate the centripetal acceleration of the particle.
A. 5 m/s^2
B. 10 m/s^2
C. 20 m/s^2
D. 25 m/s^2
Question 15
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the plates are separated by a dis\tance of 0.5 mm, what is the surface charge density on each plate?
A. 1.0 x 10^\( -4 \) C/m^2
B. 2.0 x 10^\( -4 \) C/m^2
C. 3.0 x 10^\( -4 \) C/m^2
D. 4.0 x 10^\( -4 \) C/m^2

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: