Practice Post UTME EKSU physics 2018 Past Questions

Question 1

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.

Correct 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. \( C = 0.04 F, U = 0.2 J \)

Correct Answer: A

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Question 2

A particle of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subject to a centripetal force of 20 N, calculate the acceleration of the particle.

A. \( a = 0.5 m/s^2 \)

Correct B. \( a = 1 m/s^2 \)

C. \( a = 1.5 m/s^2 \)

D. \( a = 2 m/s^2 \)

Correct Answer: B

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Question 3

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.

Correct A. \( \theta_r = 20° \)

B. \( \theta_r = 25° \)

C. \( \theta_r = 30° \)

D. \( \theta_r = 35° \)

Correct Answer: A

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Question 4

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. \( P = 12 W \)

Correct B. \( P = 16 W \)

C. \( P = 20 W \)

D. \( P = 24 W \)

Correct Answer: B

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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. \( v_{max} = 4 m/s \)

Correct C. \( v_{max} = 6 m/s \)

D. \( v_{max} = 8 m/s \)

Correct Answer: C

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Question 6

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

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 7

A parallel plate capacitor consists of two plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The space between the plates is filled with a dielectric material of dielectric cons\tant 3. The capacitor is connected to a battery of emf 12 V. Calculate the capaci\tance of the capacitor.

A. 0.01 F

B. 0.02 F

Correct C. 0.03 F

D. 0.04 F

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 cons\tant speed of 4 m/s. Calculate the magnitude of the force acting on the particle.

A. 8 N

B. 10 N

Correct C. 12 N

D. 14 N

Correct Answer: C

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Question 9

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

Correct B. 50 J

C. 75 J

D. 100 J

Correct Answer: B

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Question 10

A parallel plate capacitor consists of two plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The space between the plates is filled with a dielectric material of dielectric cons\tant 3. The capacitor is connected to a battery of emf 12 V. Calculate the energy stored in the capacitor.

A. 36 J

B. 72 J

Correct C. 108 J

D. 144 J

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. If the particle is subjected to a centripetal force of 12 N, what is the angular velocity of the particle?

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 12

A 100 V AC supply is connected to a 50 Ω resistor. If the frequency of the supply is 50 Hz, what is the rms value of the current flowing through the resistor?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 13

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

Correct B. 20 m

C. 30 m

D. 40 m

Correct Answer: B

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Question 14

A s\tanding wave is formed on a string of length 2 m with a frequency of 100 Hz. If the wave speed is 200 m/s, what is the wavelength of the wave?

A. 0.02 m

Correct B. 0.04 m

C. 0.06 m

D. 0.08 m

Correct Answer: B

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Question 15

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

Correct B. 1 m/s²

C. 1.5 m/s²

D. 2 m/s²

Correct Answer: B

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Question 16

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

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 17

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

Correct B. 0.30

C. 0.35

D. 0.40

Correct Answer: B

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Question 18

A photon of wavelength 600 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?

A. 1.5 eV

Correct B. 2.0 eV

C. 2.5 eV

D. 3.0 eV

Correct Answer: B

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Question 19

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

Correct B. 20 m

C. 25 m

D. 30 m

Correct Answer: B

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Question 20

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

Correct C. 140 kPa

D. 150 kPa

Correct Answer: C

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Question 21

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

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 22

A body of mass 5 kg is moving with a velocity of 10 m/s. It is subjected to a force of 20 N. What is the change in its kinetic energy?

A. 50 J

Correct B. 100 J

C. 150 J

D. 200 J

Correct Answer: B

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Question 23

A gas expands from an initial volume of 2 m^3 to a final volume of 4 m^3 at a cons\tant temperature. What is the work done by the gas?

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 24

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

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 25

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

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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