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POST UTME EKSU 2021 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 2021 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 20 μF capacitor. What is the phase angle between the voltage and current?

A. π/4

Correct B. π/2

C. π/3

D. π/6

Correct Answer: B

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Question 2

A gas at 300 K and 1 atm expands from 10 L to 20 L. What is the work done by the gas?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 3

A point charge of 2 μC is placed at the center of a conducting sphere of radius 10 cm. What is the electric field at the surface of the sphere?

A. 10^4 N/C

B. 10^5 N/C

Correct C. 10^6 N/C

D. 10^7 N/C

Correct Answer: C

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Question 4

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 5

A block of mass 2 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?

A. 2 J

Correct B. 4 J

C. 6 J

D. 8 J

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge on the plates when the potential difference between them is 100 V?

A. 2.5 x 10^-8 C

Correct B. 5 x 10^-8 C

C. 1 x 10^-7 C

D. 2 x 10^-7 C

Correct Answer: B

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Question 7

A radioactive sample has a half-life of 5 years. If the initial activity is 1000 Bq, what is the activity after 15 years?

A. 125 Bq

B. 250 Bq

Correct C. 500 Bq

D. 1000 Bq

Correct Answer: C

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Question 8

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal force acting on the particle?

A. 12 N

B. 24 N

Correct C. 36 N

D. 48 N

Correct Answer: C

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Question 9

A 10 V battery is connected to a 2 Ω resistor in series with a 4 Ω resistor. What is the current flowing through the 2 Ω resistor?

A. 1.5 A

B. 2 A

Correct C. 2.5 A

D. 3 A

Correct Answer: C

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Question 10

A 5 kg block is moving with a speed of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block, what is its new speed?

A. 2.5 m/s

B. 3 m/s

Correct C. 4 m/s

D. 5 m/s

Correct Answer: C

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Question 11

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 12

A gas is compressed from an initial volume of 10 L to a final volume of 5 L at a cons\tant temperature of 300 K. If the initial pressure is 2 atm, what is the final pressure?

A. 1 atm

B. 2 atm

C. 3 atm

Correct D. 4 atm

Correct Answer: D

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Question 13

A wave with a frequency of 20 Hz and a wavelength of 0.5 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the frequency of the reflected wave?

A. 10 Hz

Correct B. 20 Hz

C. 30 Hz

D. 40 Hz

Correct Answer: B

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Question 14

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, what is the voltage across the 6 Ω resistor?

A. 6 V

Correct B. 8 V

C. 10 V

D. 12 V

Correct Answer: B

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Question 15

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine produces 100 J of work per cycle, what is the efficiency of the engine?

A. 20%

B. 30%

Correct C. 40%

D. 50%

Correct Answer: C

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Question 16

A 50 Hz AC voltage source is connected to a 100 Ω resistor. If the maximum current is 5 A, what is the power factor of the circuit?

A. 0.5

Correct B. 0.707

C. 1

D. √3

Correct Answer: B

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Question 17

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. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 18

A 10 μF capacitor is connected in series with a 20 Ω resistor. If a 100 V AC source is applied across the circuit, what is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 19

A 100 W bulb is connected to a 200 V AC source. If the power factor of the bulb is 0.8, what is the current drawn by the bulb?

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 20

A 50 Hz AC voltage source is connected to a 100 Ω resistor. If the maximum current is 5 A, what is the power consumed by the resistor?

A. 250 W

Correct B. 500 W

C. 750 W

D. 1000 W

Correct Answer: B

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Question 21

A gas is enclosed in a container at a cons\tant temperature. The volume of the gas is doubled. What is the effect on the pressure of the gas?

A. The pressure increases by a factor of 2

Correct B. The pressure remains the same

C. The pressure decreases by a factor of 2

D. The pressure increases by a factor of 4

Correct Answer: B

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Question 22

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. The particle is subject to a centripetal force of 10 N. What is the angular velocity of the particle?

A. 4 rad/s

B. 6 rad/s

Correct C. 8 rad/s

D. 10 rad/s

Correct Answer: C

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Question 23

A light ray passes from air into a glass block. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 20°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 24

A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the probability density of the particle?

Correct A. A^2e^\( -2αx^2 \)

B. A^2e^\( -αx^2 \)

C. A^2e^\( αx^2 \)

D. A^2e^\( -2αx^4 \)

Correct Answer: A

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Question 25

A lens has a focal length of 20 cm. An object is placed 30 cm from the lens. What is the image dis\tance?

Correct A. -60 cm

B. -40 cm

C. -20 cm

D. 10 cm

Correct Answer: A

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