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POST UTME AL-HIKMAH UNIVERSITY 2021 Physics | Objective

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Question 1 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. What is the magnitude of the centripetal acceleration?

A. 10 m/s^2

B. 12 m/s^2

Correct C. 15 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 2 View Details

A wave has a frequency of 250 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 125 m/s

Correct B. 250 m/s

C. 500 m/s

D. 1000 m/s

Correct Answer: B

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Question 3 View Details

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and then 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 4 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 2 Ω resistor connected in series. What is the current in the circuit?

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 5 View Details

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° 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 6 View Details

A gas at $20^{circ}C$ and $1.0 \times 10^5 Pa$ is heated to $50^{circ}C$ at cons\tant pressure. Calculate the volume of the gas at the final temperature.

A. 0.02 m^3

Correct B. 0.04 m^3

C. 0.06 m^3

D. 0.08 m^3

Correct Answer: B

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Question 7 View Details

A convex lens of focal length $10 cm$ is placed in contact with a concave lens of focal length $-20 cm$. Find the focal length of the combination.

Correct A. 5 cm

B. -5 cm

C. 10 cm

D. -10 cm

Correct Answer: A

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Question 8 View Details

A radioactive subs\tance decays at a rate of $0.5%$ per hour. If the initial amount of the subs\tance is $100 g$, how much will remain after $5$ hours?

A. 50 g

B. 75 g

C. 90 g

Correct D. 95 g

Correct Answer: D

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Question 9 View Details

A wave of frequency $50 Hz$ and wavelength $2 m$ is traveling through a medium. Find the speed of the 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 10 View Details

A particle of mass $2 kg$ is moving in a circular path of radius $3 m$ with a speed of $4 m/s$. Find the magnitude of the force acting on the particle.

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 11 View Details

A parallel plate capacitor has a capaci\tance of 10 μF. If the potential difference between the plates is 50 V, what is the charge stored on the capacitor?

A. 50 μC

Correct B. 100 μC

C. 200 μC

D. 500 μC

Correct Answer: B

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Question 12 View Details

A body of mass 2 kg is moving with a velocity of 5 m/s. If the body is subjected to a force of 10 N, what is its acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 5 m/s^2

Correct Answer: C

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Question 13 View Details

A gas expands from an initial volume of 10 L to a final volume of 20 L. If the initial pressure is 2 atm, what is the final pressure?

A. 1 atm

Correct B. 2 atm

C. 3 atm

D. 4 atm

Correct Answer: B

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Question 14 View Details

A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is its speed?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 15 View Details

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 50 V is applied across the circuit, what is the current?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 16 View Details

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?

Correct A. 0.001 g

B. 0.01 g

C. 0.1 g

D. 1 g

Correct Answer: A

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Question 17 View Details

A gas is contained in a cylinder with a movable piston. The gas is heated, cau\sing the piston to move. If the initial pressure is 100 kPa, and the final pressure is 200 kPa, what is the change in temperature in Kelvin?

A. 50 K

Correct B. 100 K

C. 200 K

D. 500 K

Correct Answer: B

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Question 18 View Details

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

Correct A. 4 m

B. 5 m

C. 6 m

D. 7 m

Correct Answer: A

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Question 19 View Details

A lens has a focal length of 20 cm. If an object is placed 30 cm in front of the lens, where will the image be formed?

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 20 View Details

A capacitor has a capaci\tance of 10 μF. If a voltage of 5 V is applied across it, what is the charge stored?

A. 0.05 C

Correct B. 0.1 C

C. 0.5 C

D. 1 C

Correct Answer: B

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Question 21 View Details

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. If the particle experiences a centripetal acceleration of 2.0 m/s^2, what is the magnitude of the net force acting on the particle?

Correct A. 8.0 N

B. 10.0 N

C. 12.0 N

D. 16.0 N

Correct Answer: A

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Question 22 View Details

A block of mass 5.0 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.20 m from its equilibrium position and released from rest. What is the maximum speed of the block as it oscillates?

A. 0.50 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 23 View Details

A radioactive sample has a half-life of 10 minutes. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 30 minutes?

A. 125 Bq

Correct B. 250 Bq

C. 500 Bq

D. 1000 Bq

Correct Answer: B

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Question 24 View Details

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

A. 10.0 m

B. 15.0 m

Correct C. 20.0 m

D. 25.0 m

Correct Answer: C

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Question 25 View Details

A block of mass 3.0 kg is moving in a circular path of radius 2.0 m with a cons\tant speed of 5.0 m/s. If the block experiences a centripetal acceleration of 1.5 m/s^2, what is the magnitude of the net force acting on the block?

A. 6.0 N

B. 8.0 N

Correct C. 10.0 N

D. 12.0 N

Correct Answer: C

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