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POST UTME LASU 2023 Physics | Objective

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Question 1

A block of mass 5 kg is attached to a horizontal, massless spring with a spring 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. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 2

A 2.0 L container holds 1.5 mol of an ideal gas at a temperature of 300 K. If the gas is heated to 400 K while the volume remains cons\tant, what is the final pressure of the gas?

A. 2.5 atm

Correct B. 3.0 atm

C. 3.5 atm

D. 4.0 atm

Correct Answer: B

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Question 3

A particle of mass 0.5 kg is moving in a circular path with a radius of 0.2 m. If the particle's speed is 4 m/s, what is the magnitude of the net force acting on the particle?

A. 0.5 N

B. 1.0 N

Correct C. 1.5 N

D. 2.0 N

Correct Answer: C

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Question 4

A 100 W light bulb is connected to a 120 V power source. If the light bulb is turned on for 8 hours, how much energy is consumed by the light bulb?

A. 768 J

B. 7680 J

Correct C. 76800 J

D. 768000 J

Correct Answer: C

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Question 5

A 0.5 kg block is attached to a horizontal, massless spring with a spring cons\tant of 100 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the period of the block's motion.

A. 0.5 s

Correct B. 1.0 s

C. 1.5 s

D. 2.0 s

Correct Answer: B

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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 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 7

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 8

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1.5 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 9

A convex lens has a focal length of 10 cm. If an object is placed 20 cm in front of the lens, what is the magnification of the image formed?

A. 2

B. 3

Correct C. 4

D. 5

Correct Answer: C

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Question 10

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

A. 7 m/s

B. 8 m/s

Correct C. 9 m/s

D. 10 m/s

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 force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 12

A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. If the capaci\tance is 8 μF, what is the charge stored on the capacitor when a potential difference of 12 V is applied?

A. 96 μC

Correct B. 192 μC

C. 288 μC

D. 384 μC

Correct Answer: B

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Question 13

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is the maximum speed of the block?

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 14

A ray 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?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 15

A simple p\endulum of length 1.5 m has a time period of 2 s. What is the acceleration due to gravity?

Correct A. 9.8 m/s^2

B. 10.0 m/s^2

C. 10.2 m/s^2

D. 10.5 m/s^2

Correct Answer: A

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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. 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 17

A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. 2.5 μF

Correct B. 5 μF

C. 10 μF

D. 20 μF

Correct Answer: B

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Question 18

A radioactive sample decays at a rate of 0.5% per hour. If the initial mass of the sample is 100 g, what is the mass of the sample after 5 hours?

A. 50 g

B. 75 g

Correct C. 87.5 g

D. 100 g

Correct Answer: C

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Question 19

A gas is contained in a cylinder of volume 2 L at a temperature of 300 K. If the temperature is increased to 400 K, what is the new volume of the gas?

A. 2.5 L

B. 3 L

Correct C. 3.5 L

D. 4 L

Correct Answer: C

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Question 20

A projectile is launched at an angle of 60° above the horizontal with an initial velocity of 20 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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

A. 16 N

Correct B. 12 N

C. 8 N

D. 24 N

Correct Answer: B

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Question 22

A light ray 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. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 23

A 10 V battery is connected to a 2 Ω resistor. If the current is 2 A, what is the power dissipated by the resistor?

A. 20 W

Correct B. 40 W

C. 60 W

D. 80 W

Correct Answer: B

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Question 24

A particle of mass 5 kg is moving in a straight line with a velocity of 10 m/s. If the particle is subjected to a force of 20 N, what is the acceleration?

A. 2 m/s²

B. 4 m/s²

C. 6 m/s²

Correct D. 8 m/s²

Correct Answer: D

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Question 25

A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the image is formed 1.5 m away from the lens, what is the magnification?

A. -2

Correct B. -1

C. 1

D. 2

Correct Answer: B

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