Practice post utme rsu physics 2019 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 force of 12 N, what is the magnitude of the acceleration of the particle?

A. 6 m/s^2

Correct B. 8 m/s^2

C. 10 m/s^2

D. 12 m/s^2

Correct Answer: B

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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?

Correct A. -10 cm

B. -15 cm

C. -20 cm

D. -25 cm

Correct Answer: A

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Question 3

A 100 V AC supply is connected to a 50 Ω resistor. If the current is 2 A, what is the power consumed by the resistor?

Correct A. 200 W

B. 250 W

C. 300 W

D. 400 W

Correct Answer: A

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Question 4

A point charge of +2 μC is placed at the origin. What is the electric potential at a point 2 m away from the charge?

A. 100 V

Correct B. 200 V

C. 300 V

D. 400 V

Correct Answer: B

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Question 5

A capacitor of capaci\tance 10 μF is connected to a 100 V DC supply. What is the energy stored in the capacitor?

A. 0.5 J

Correct B. 1 J

C. 1.5 J

D. 2 J

Correct Answer: B

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Question 6

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

A. 50 Bq

Correct B. 25 Bq

C. 12.5 Bq

D. 6.25 Bq

Correct Answer: B

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Question 7

A 2 mH inductor is connected in series with a 10 Ω resistor and a 12 V battery. What is the current in the circuit after 5 seconds?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 8

A 5 kg block 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, what is 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 9

A convex lens with a focal length of 20 cm is used to form an image of an object placed 30 cm from the lens. 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 10

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. What is the energy stored in the capacitor?

A. 0.6 J

Correct B. 1.2 J

C. 1.8 J

D. 2.4 J

Correct Answer: B

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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 parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. 5 μF

B. 10 μF

Correct C. 20 μF

D. 40 μF

Correct Answer: C

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Question 13

A beam of light passes from air into a glass of re\fractive index 1.5. 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 14

A circuit consists of a 12 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, what is the current flowing through the 5 Ω resistor?

A. 2 A

B. 3 A

Correct C. 4 A

D. 5 A

Correct Answer: C

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Question 15

A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.2 m. If the current flowing through the coil is 2 A, what is the magnitude of the torque experienced by the coil?

A. 0.1 Nm

B. 0.2 Nm

Correct C. 0.3 Nm

D. 0.4 Nm

Correct Answer: C

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Question 16

A particle of mass m is attached to a spring with spring cons\tant k. The particle is displaced from its equilibrium position by a dis\tance x and released from rest. Assuming the motion is simple harmonic, find the angular frequency ω.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{1}{\sqrt{km}}

C. \frac{1}{\sqrt{mk}}

D. \sqrt{\frac{m}{k}}

Correct Answer: A

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Question 17

A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, find the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 18

A gas is heated from 0°C to 100°C at cons\tant pressure. If the initial volume is 1 L, find the final volume.

A. 2 L

B. 3 L

Correct C. 4 L

D. 5 L

Correct Answer: C

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Question 19

A magnetic field is produced by a current-carrying wire. If the current is 2 A and the length of the wire is 1 m, find the magnetic field strength at a dis\tance of 0.5 m from the wire.

A. 0.1 T

Correct B. 0.2 T

C. 0.3 T

D. 0.4 T

Correct Answer: B

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Question 20

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. Find the speed of the sound wave.

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 21

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 22

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, calculate the maximum speed of the particle.

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 23

A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the light source is moved 0.5 m closer to the lens, calculate the new image dis\tance.

A. 1.5 m

B. 2 m

Correct C. 2.5 m

D. 3 m

Correct Answer: C

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Question 24

A particle of mass 1 kg is moving in a circular path of radius 0.5 m with a speed of 2 m/s. If the particle is subjected to a centripetal force of 10 N, calculate the acceleration of the particle.

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

Correct D. 8 m/s^2

Correct Answer: D

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Question 25

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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