Practice Post UTME CALEB UNIVERSITY physics 2023 Past Questions

Question 1

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

Correct A. 0.01 F

B. 0.02 F

C. 0.03 F

D. 0.04 F

Correct Answer: A

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Question 2

A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. Calculate the work done by the gas.

A. -1.2 kJ

Correct B. -1.5 kJ

C. -1.8 kJ

D. -2.0 kJ

Correct Answer: B

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Question 3

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the particle.

A. 0.5 m/s

B. 1.0 m/s

Correct C. 1.5 m/s

D. 2.0 m/s

Correct Answer: C

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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. Calculate the current in the circuit.

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 5

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. Calculate 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 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. 4 m/s^2

Correct B. 6 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Correct Answer: B

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Question 7

A gas is contained in a cylinder of volume 2 m^3 at a pressure of 1 atm. If the temperature of the gas is increased by 20°C, what is the new pressure of the gas?

A. 1.2 atm

B. 1.5 atm

Correct C. 2.0 atm

D. 2.5 atm

Correct Answer: C

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Question 8

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?

A. 100 m/s

Correct B. 200 m/s

C. 250 m/s

D. 300 m/s

Correct Answer: B

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Question 9

A capacitor has a capaci\tance of 10 μF and is connected to a 12 V battery. What is the charge stored on the capacitor?

A. 0.12 C

Correct B. 0.12 μC

C. 0.12 mC

D. 0.12 μA

Correct Answer: B

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Question 10

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is 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 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 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 12

A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?

A. 0.2 s

Correct B. 0.5 s

C. 1 s

D. 2 s

Correct Answer: B

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Question 13

A beam of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20°, what is the angle of deviation?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 14

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 6 N, what is the magnitude of the acceleration of the particle?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 3 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 15

A 10 μF capacitor is connected in parallel with a 20 μF capacitor. If a 15 V battery is connected across the circuit, what is the equivalent capaci\tance of the circuit?

A. 10 μF

B. 15 μF

C. 20 μF

Correct D. 30 μF

Correct Answer: D

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Question 16

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 6 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?

Correct A. 0.2 A

B. 0.3 A

C. 0.4 A

D. 0.5 A

Correct Answer: A

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Question 17

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

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 18

A 100 W heater is connected to a 230 V AC supply. If the power factor is 0.8, what is the current drawn by the heater?

A. 0.5 A

B. 0.6 A

C. 0.7 A

Correct D. 0.8 A

Correct Answer: D

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Question 19

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. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 20

A simple harmonic motion has a maximum displacement of 5 m and a frequency of 2 Hz. What is the angular frequency?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 21

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 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

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 22

A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The capaci\tance of the capacitor is 10^-6 F. Calculate the charge stored on each plate when a potential difference of 10 V is applied across the plates.

Correct A. 10^-5 C

B. 10^-4 C

C. 10^-3 C

D. 10^-2 C

Correct Answer: A

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Question 23

A wave with a frequency of 50 Hz and a wavelength of 0.2 m is traveling through a medium. Calculate the speed of the wave.

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 24

A body of mass 5 kg is moving in a circular path with a radius of 2 m. The body is experiencing a centripetal acceleration of 10 m/s^2. Calculate the force acting on the body.

A. 50 N

B. 60 N

Correct C. 70 N

D. 80 N

Correct Answer: C

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Question 25

A heat engine operates between two temperatures, 300 K and 400 K. The engine has an efficiency of 30%. Calculate the temperature of the hot reservoir.

A. 350 K

B. 400 K

Correct C. 450 K

D. 500 K

Correct Answer: C

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