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POST UTME NILE UNIVERSITY 2021 Physics | Objective

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Question 1 View Details

A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle completes 5 revolutions in 10 seconds, calculate its angular velocity in rad/s.

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 2 View Details

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L, calculate the final volume in L.

A. 1 L

B. 2 L

C. 3 L

Correct D. 4 L

Correct Answer: D

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Question 3 View Details

A block of mass 10 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, calculate its maximum velocity in m/s.

A. 2 m/s

B. 4 m/s

C. 6 m/s

Correct D. 8 m/s

Correct Answer: D

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Question 4 View Details

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

A. 20°

B. 30°

C. 40°

Correct D. 50°

Correct Answer: D

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Question 5 View Details

A particle of mass 2 kg is moving in a straight line with an initial velocity of 5 m/s. If it experiences a cons\tant acceleration of 2 m/s², calculate its velocity after 3 seconds in m/s.

A. 7 m/s

B. 8 m/s

C. 9 m/s

Correct D. 10 m/s

Correct Answer: D

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Question 6 View Details

A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current of 5 A flows in a circular loop of radius 0.2 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.1 A m^2

Correct B. 0.2 A m^2

C. 0.3 A m^2

D. 0.4 A m^2

Correct Answer: B

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Question 7 View Details

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.1 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

A. 10 rad/s

B. 20 rad/s

Correct C. 30 rad/s

D. 40 rad/s

Correct Answer: C

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Question 8 View Details

A heat engine operates between two temperatures, 500 K and 300 K. The engine has an efficiency of 30%. What is the temperature of the hot reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 9 View Details

A vector A has a magnitude of 5 m and is directed at an angle of 30° to the x-axis. What is the x-component of vector A?

A. 2 m

Correct B. 3 m

C. 4 m

D. 5 m

Correct Answer: B

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Question 10 View Details

A block of mass 10 kg is placed on a frictionless surface. A horizontal force of 20 N is applied to the block. What is 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 11 View Details

A block of mass 2 kg is placed on a horizontal, frictionless surface. A horizontal force of 10 N is applied to the block. If the block starts from rest, what is its velocity after 2 seconds?

A. 5 m/s

Correct B. 10 m/s

C. 20 m/s

D. 25 m/s

Correct Answer: B

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Question 12 View Details

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the block's velocity after 1 second?

A. 0.5 m/s

Correct B. 1 m/s

C. 2 m/s

D. 5 m/s

Correct Answer: B

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Question 13 View Details

A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 1 atm. If the gas undergoes an isothermal process, what is the work done by the gas?

A. -10 J

B. -5 J

Correct C. 0 J

D. 5 J

Correct Answer: C

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Question 14 View Details

A 2 kg block is moving in a circular path with a radius of 3 m. If the block's velocity is 4 m/s, what is the centripetal acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 15 View Details

A 5 kg block is moving with a velocity of 3 m/s. If the block is brought to rest in 2 seconds, what is the force applied to the block?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 16 View Details

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 angle between the velocity vector and the radius vector at the ins\tant when the particle is at the top of its circular path?

Correct A. 90°

B. 45°

C. 60°

D. 30°

Correct Answer: A

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Question 17 View Details

A light ray 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 re\fraction?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 18 View Details

A 10 μF capacitor is connected in series with a 5 Ω resistor and a 20 V battery. What is the time cons\tant of the circuit?

A. 0.5 s

Correct B. 1 s

C. 2 s

D. 5 s

Correct Answer: B

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Question 19 View Details

A wave has a frequency of 100 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 50 m/s

Correct B. 100 m/s

C. 200 m/s

D. 500 m/s

Correct Answer: B

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Question 20 View Details

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 21 View Details

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 22 View Details

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If it is subject to a centripetal force of 10 N, what is its angular velocity?

A. 0.5 rad/s

B. 1 rad/s

Correct C. 2 rad/s

D. 5 rad/s

Correct Answer: C

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Question 23 View Details

A 100 V AC source is connected to a 10 Ω resistor. If the frequency of the source is 50 Hz, what is the rms value of the current?

A. 5 A

Correct B. 10 A

C. 20 A

D. 50 A

Correct Answer: B

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Question 24 View Details

A convex lens of focal length 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

B. 1

Correct C. 2

D. 4

Correct Answer: C

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Question 25 View Details

A heat engine operates between a source at 500 K and a \sink at 300 K. If the efficiency of the engine is 30%, what is the temperature of the source?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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