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POST UTME EKSU 2020 Physics | Objective

Are you preparing for POST UTME EKSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A light ray passes from air into a glass slab of thickness 5 cm and re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 2

A point charge of 2 μC is placed at the origin. Find the electric potential at a point 3 m away from the charge.

A. 1200 V

B. 1500 V

Correct C. 1800 V

D. 2000 V

Correct Answer: C

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Question 3

A body of mass 5 kg is at rest on a frictionless surface. A force of 10 N is applied to it. Find the acceleration of the body.

A. 2 m/s²

B. 5 m/s²

Correct C. 10 m/s²

D. 15 m/s²

Correct Answer: C

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Question 4

A liquid of density 800 kg/m³ is in a U-tube of height 10 cm. Find the pressure at the bottom of the tube.

A. 8000 Pa

B. 10000 Pa

Correct C. 12000 Pa

D. 14000 Pa

Correct Answer: C

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Question 5

A heat engine operates between the temperatures 300 K and 400 K. Find the efficiency of the engine.

A. 0.2

B. 0.3

Correct C. 0.4

D. 0.5

Correct Answer: C

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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 magnitude of the acceleration of the particle?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 7

A 10 μF capacitor is connected in series with a 5 kΩ resistor and a 20 V battery. If the switch is closed at time t = 0, what is the current in the circuit at time t = 5 s?

A. 0.1 A

Correct B. 0.2 A

C. 0.3 A

D. 0.4 A

Correct Answer: B

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Question 8

A wave has a frequency of 50 Hz and a wavelength of 10 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. positive x-direction

B. negative x-direction

C. positive y-direction

D. negative y-direction

Correct Answer: A

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Question 9

A gas is contained in a cylinder of volume 2 L at a pressure of 2 atm. If the temperature is increased by 10°C, what is the new pressure?

A. 2.5 atm

Correct B. 3 atm

C. 3.5 atm

D. 4 atm

Correct Answer: B

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Question 10

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 m. If the motion is started at time t = 0, what is the displacement at time t = 3 s?

A. 2 m

B. 3 m

Correct C. 4 m

D. 5 m

Correct Answer: C

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Question 11

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. What is the magnitude of the force acting on the particle?

A. 6 N

B. 8 N

Correct C. 10 N

D. 12 N

Correct Answer: C

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Question 12

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?

A. -0.5

Correct B. -1

C. -1.5

D. -2

Correct Answer: B

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Question 13

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 25 Bq

B. 50 Bq

Correct C. 75 Bq

D. 100 Bq

Correct Answer: C

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Question 14

A body of mass 5 kg is moving in a straight line with a velocity of 10 m/s. What is the work done by a force of 2 N acting on the body?

A. -20 J

B. -10 J

Correct C. 10 J

D. 20 J

Correct Answer: C

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Question 15

A particle of charge 2 μC is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. What is the magnitude of the magnetic field at the center of the circle?

A. 0.1 T

B. 0.2 T

Correct C. 0.3 T

D. 0.4 T

Correct Answer: C

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Question 16

A parallel beam of light of wavelength 500 nm is incident on a glass plate of re\fractive index 1.5. If the angle of incidence is 30°, determine the angle of re\fraction.

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 17

A radioactive sample decays from 100 mg to 50 mg in 10 days. If the half-life of the sample is 20 days, determine the decay cons\tant.

A. 0.01 min^-1

Correct B. 0.02 min^-1

C. 0.03 min^-1

D. 0.04 min^-1

Correct Answer: B

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Question 18

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, determine the maximum velocity of the particle.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 19

A photon of energy 2 eV is incident on a metal surface with a work function of 1 eV. Determine the maximum kinetic energy of the emitted electron.

A. 0.5 eV

B. 1 eV

Correct C. 1.5 eV

D. 2 eV

Correct Answer: C

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Question 20

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. Determine the maximum height reached by the projectile.

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 21

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 10 days?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 22

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 2 mm, what is the surface charge density?

A. 2.5 × 10^\( -3 \) C/m^2

Correct B. 5.0 × 10^\( -3 \) C/m^2

C. 7.5 × 10^\( -3 \) C/m^2

D. 10^\( -2 \) C/m^2

Correct Answer: B

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Question 23

A simple harmonic oscillator has a frequency of 5 Hz and an amplitude of 10 cm. If the oscillator is displaced from its equilibrium position by 5 cm, what is the acceleration at this position?

A. 0.25 m/s^2

B. 0.5 m/s^2

C. 1.0 m/s^2

Correct D. 2.0 m/s^2

Correct Answer: D

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Question 24

A fluid of density 1000 kg/m^3 is flowing through a horizontal pipe with a cross-sectional area of 10^\( -4 \) m^2. If the pressure difference between the two \ends of the pipe is 1000 Pa, what is the velocity of the fluid?

A. 0.5 m/s

B. 1.0 m/s

Correct C. 2.0 m/s

D. 5.0 m/s

Correct Answer: C

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Question 25

A spring with a spring cons\tant of 100 N/m is stretched by 10 cm. If the spring is then released, what is the maximum velocity of the spring?

A. 0.5 m/s

Correct B. 1.0 m/s

C. 2.0 m/s

D. 5.0 m/s

Correct Answer: B

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