POST UTME EKSU 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A light ray 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. \( \theta_r = 20° \)
B. \( \theta_r = 25° \)
C. \( \theta_r = 30° \)
D. \( \theta_r = 35° \)
Question 3
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 4
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 acceleration due to gravity is 9.8 m/s², what is the maximum height reached by the projectile?
A. 10 m
B. 20 m
C. 30 m
D. 40 m
Question 5
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. The particle is subject to a centripetal force of 12 N. What is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 6
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
Question 7
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 8
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 9
A block of mass 5 kg is placed on a horizontal surface. If a force of 10 N is applied to the block, what is the acceleration of the block?
A. 0.5 m/s²
B. 1 m/s²
C. 1.5 m/s²
D. 2 m/s²
Question 10
A body of mass 10 kg is moving with a velocity of 5 m/s. Calculate the kinetic energy of the body.
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 11
A gas is contained in a cylinder of volume 2 m^3 at a pressure of 100 kPa. If the temperature of the gas is increased by 20 K, what is the new pressure of the gas?
A. 120 kPa
B. 130 kPa
C. 140 kPa
D. 150 kPa
Question 12
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 13
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 14
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 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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