Practice post utme lasu physics 2018 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. 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 2

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. If an object is placed 30 cm in front of the convex lens, what is the image dis\tance?

A. 10 cm

B. 15 cm

Correct C. 20 cm

D. 25 cm

Correct Answer: C

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Question 3

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. If the current through the 4 Ω resistor is 2 A, what is the current through the 6 Ω resistor?

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 4

A 5 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position, what is the magnitude of the force exerted by the spring?

A. 100 N

Correct B. 200 N

C. 300 N

D. 400 N

Correct Answer: B

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Question 5

A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance is 10 μF, what is the magnitude of the electric field between the plates?

A. 1000 V/m

B. 2000 V/m

Correct C. 3000 V/m

D. 4000 V/m

Correct Answer: C

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Question 6

A gas at 300 K expands from 1.0 L to 2.0 L against a cons\tant external pressure of 2.0 atm. Calculate the work done by the gas u\sing the equation \( W = int_{V_1}^{V_2} P , dV \).

A. 4.2 J

Correct B. 8.4 J

C. 12.6 J

D. 16.8 J

Correct Answer: B

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Question 7

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, 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 8

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. Calculate the magnification of the image.

A. 0.5

B. 1.0

C. 1.5

Correct D. 2.0

Correct Answer: D

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Question 9

A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. Calculate the wavelength of the sound wave.

A. 1.7 m

B. 1.8 m

C. 1.9 m

Correct D. 2.0 m

Correct Answer: D

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Question 10

A particle of mass 0.5 kg is moving in a circular path with a radius of 0.2 m. The particle is moving at a speed of 2.0 m/s. Calculate the centripetal force acting on the particle.

A. 2.0 N

B. 4.0 N

C. 6.0 N

Correct D. 8.0 N

Correct Answer: D

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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. 6 m/s^2

B. 8 m/s^2

Correct C. 10 m/s^2

D. 12 m/s^2

Correct Answer: C

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Question 12

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. If the block starts moving from rest, what is the magnitude of the acceleration of the block?

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 13

A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the magnitude of the force exerted by the spring?

A. 100 N

Correct B. 200 N

C. 300 N

D. 400 N

Correct Answer: B

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Question 14

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?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 15

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. 3 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 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 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 2 m from its equilibrium position and released from rest. 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 18

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 19

A force of 10 N is applied to an object, cau\sing it to accelerate at a rate of 2 m/s^2. What is the mass of the object?

A. 2 kg

Correct B. 4 kg

C. 6 kg

D. 8 kg

Correct Answer: B

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Question 20

A magnetic field of 0.5 T is applied to a current-carrying wire, cau\sing it to experience a force of 2 N. What is the current in the wire?

A. 2 A

B. 4 A

Correct C. 6 A

D. 8 A

Correct Answer: C

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Question 21

A block of mass 5 kg is susp\ended from a spring with spring cons\tant 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is 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 22

A parallel plate capacitor has plates of area 0.1 m^2 and separation 0.01 m. If a potential difference of 10 V is applied across the plates, what is the capaci\tance?

A. 10^-9 F

B. 10^-8 F

Correct C. 10^-7 F

D. 10^-6 F

Correct Answer: C

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Question 23

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 24

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. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 25

A sound wave has a frequency of 200 Hz and a speed of 340 m/s. What is the wavelength?

A. 1.7 m

Correct B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: B

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