Practice Post UTME CALEB UNIVERSITY physics 2017 Past Questions

Question 1

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 2

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?

A. 10 cm

Correct B. 15 cm

C. 20 cm

D. 25 cm

Correct Answer: B

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Question 3

A beam of light is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 4

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 acceleration of 1 m/s^2, what is the magnitude of the force acting on the particle?

A. 5 N

B. 6 N

Correct C. 8 N

D. 10 N

Correct Answer: C

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Question 5

A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length -20 cm. What is the focal length of the combination?

Correct A. 15 cm

B. 20 cm

C. 25 cm

D. 30 cm

Correct Answer: A

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Question 6

A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum voltage is 100 V, what is the rms value of the current flowing through the resistor?

Correct A. 0.5 A

B. 1 A

C. 2 A

D. 5 A

Correct Answer: A

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Question 7

A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 1 atm. What is the change in internal energy of the gas?

A. -100 J

Correct B. 0 J

C. 100 J

D. 200 J

Correct Answer: B

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Question 8

A 2 kg block is moving at 4 m/s on a frictionless surface when it collides with a stationary 1 kg block. If the collision is perfectly elastic, what is the velocity of the 2 kg block after the collision?

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 9

A radioactive sample has a half-life of 10 years. If the initial activity is 1000 Bq, what is the activity after 20 years?

A. 250 Bq

B. 500 Bq

Correct C. 750 Bq

D. 1000 Bq

Correct Answer: C

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Question 10

A 1000 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. 4 A

B. 5 A

Correct C. 6 A

D. 8 A

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 wave with a frequency of 50 Hz and a wavelength of 2 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the frequency of the reflected wave?

Correct A. 25 Hz

B. 50 Hz

C. 75 Hz

D. 100 Hz

Correct Answer: A

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Question 13

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied?

A. 10^-5 C

Correct B. 10^-6 C

C. 10^-7 C

D. 10^-8 C

Correct Answer: B

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Question 14

A block of mass 5 kg is placed on a horizontal surface with a coefficient of friction of 0.5. If 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 15

A wave with a frequency of 100 Hz and a wavelength of 1 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the wavelength of the reflected wave?

A. 0.5 m

Correct B. 1 m

C. 1.5 m

D. 2 m

Correct Answer: B

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Question 16

A capacitor consists of two parallel plates, each of area 0.2 m^2, separated by a dis\tance of 0.02 m. If the capaci\tance is 2 x 10^-6 F, what is the charge stored on the capacitor when a potential difference of 20 V is applied?

Correct A. 4 x 10^-5 C

B. 2 x 10^-5 C

C. 10^-5 C

D. 5 x 10^-6 C

Correct Answer: A

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Question 17

A block of mass 10 kg is placed on a horizontal surface with a coefficient of friction of 0.8. If a horizontal force of 40 N is applied to the block, what is the acceleration of the block?

A. 8 m/s^2

Correct B. 10 m/s^2

C. 12 m/s^2

D. 15 m/s^2

Correct Answer: B

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Question 18

A wave with a frequency of 200 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?

Correct A. 100 Hz

B. 150 Hz

C. 200 Hz

D. 250 Hz

Correct Answer: A

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Question 19

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 8 N

D. 6 N

Correct Answer: C

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Question 20

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample 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 21

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a cons\tant acceleration of 2 m/s^2, what is the velocity of the particle after 3 seconds?

A. 7 m/s

Correct B. 9 m/s

C. 11 m/s

D. 13 m/s

Correct Answer: B

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Question 22

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. 140 kPa

Correct C. 160 kPa

D. 180 kPa

Correct Answer: C

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Question 23

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

A. x(t) = 3 \sin\( 4\pi t \)

B. x(t) = 3 \sin\( 2\pi t \)

Correct C. x(t) = 3 \sin\( 4\pi t + \pi/2 \)

D. x(t) = 3 \sin\( 2\pi t + \pi/2 \)

Correct Answer: C

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Question 24

A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on each plate.

Correct A. 20 μC

B. 20 mC

C. 20 nC

D. 20 μA

Correct Answer: A

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Question 25

A current of 5 A flows through a wire of resis\tance 10 Ω. Calculate the power dissipated in the wire.

Correct A. 50 W

B. 50 J

C. 50 Ω

D. 50 A

Correct Answer: A

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