Practice post utme joseph ayo babalola university physics 2021 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. 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 2

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 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 3

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, 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 4

A liquid of density 1000 kg/m^3 is flowing through a horizontal pipe with a cross-sectional area of 0.01 m^2. If the pressure difference between the two \ends of the pipe is 1000 Pa, what is the velocity of the liquid?

A. 0.1 m/s

B. 0.5 m/s

Correct C. 1 m/s

D. 5 m/s

Correct Answer: C

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Question 5

A solid cylinder of radius 0.5 m and length 1 m is subjected to a torque of 10 Nm. If the moment of inertia of the cylinder is 0.1 kg m^2, what is the angular acceleration of the cylinder?

A. 10 rad/s^2

B. 20 rad/s^2

Correct C. 30 rad/s^2

D. 40 rad/s^2

Correct Answer: C

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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 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 7

A radioactivity experiment involves the decay of a sample of uranium-238. If the half-life of the sample is 4.5 billion years, and the initial activity is 1000 Bq, what is the activity of the sample after 9 billion years?

A. 500 Bq

B. 250 Bq

C. 125 Bq

Correct D. 62.5 Bq

Correct Answer: D

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Question 8

A 10 μF capacitor is connected in series with a 5 Ω resistor and a 120 V power source. If the frequency of the AC source is 50 Hz, what is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 9

A 2 kg object is moving in a straight line with an initial velocity of 5 m/s. If the object experiences a cons\tant acceleration of 2 m/s^2, what is the velocity of the object after 4 seconds?

A. 10 m/s

B. 12 m/s

Correct C. 15 m/s

D. 18 m/s

Correct Answer: C

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Question 10

A 5 μF capacitor is connected in parallel with a 10 μF capacitor. If a 120 V power source is connected across the combination, what is the equivalent capaci\tance?

A. 10 μF

Correct B. 15 μF

C. 20 μF

D. 25 μF

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

Correct B. 12 N

C. 8 N

D. 6 N

Correct Answer: B

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Question 12

A magnetic field of strength 0.5 T is directed along the positive z-axis. A current of 2 A is flowing in a wire loop of radius 0.2 m. If the loop is placed in the magnetic field, what is the magnitude of the torque acting on the loop?

A. 0.2 Nm

B. 0.4 Nm

Correct C. 0.6 Nm

D. 0.8 Nm

Correct Answer: C

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Question 13

A block of mass 5 kg is placed on a horizontal surface. A force of 20 N is applied to the block, cau\sing it to accelerate at 2 m/s^2. What is the coefficient of friction between the block and the surface?

A. 0.2

B. 0.4

Correct C. 0.6

D. 0.8

Correct Answer: C

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Question 14

A wave of frequency 50 Hz and amplitude 0.2 m is traveling along a string. If the wave is reflected from a fixed \end, what is the magnitude of the resulting s\tanding wave?

A. 0.4 m

Correct B. 0.6 m

C. 0.8 m

D. 1.0 m

Correct Answer: B

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Question 15

A sound wave of frequency 200 Hz is traveling through a medium with a speed of 340 m/s. If the wave is reflected from a surface, what is the magnitude of the resulting s\tanding wave?

A. 400 Hz

B. 600 Hz

Correct C. 800 Hz

D. 1000 Hz

Correct Answer: C

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Question 16

A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity of the sample is 120 Bq, calculate the activity after 10 years.

Correct A. 60 Bq

B. 80 Bq

C. 100 Bq

D. 120 Bq

Correct Answer: A

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Question 17

A 5 kg block is susp\ended from a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position, calculate the work done by the spring in bringing the block back to its equilibrium position.

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 18

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

Correct B. -1

C. -1.5

D. -2

Correct Answer: B

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Question 19

A gas at a pressure of 2 atm and temperature of 300 K is allowed to expand to a volume of 5 L. Calculate the work done by the gas during the expansion.

A. -10 J

B. -20 J

C. -30 J

Correct D. -40 J

Correct Answer: D

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Question 20

A 10 μF capacitor is connected in series with a 20 μF capacitor. Calculate the equivalent capaci\tance of the circuit.

A. 5 μF

B. 10 μF

Correct C. 15 μF

D. 20 μF

Correct Answer: C

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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 required to stop the particle in 2 s?

A. 20 N

Correct B. 24 N

C. 28 N

D. 32 N

Correct Answer: B

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Question 22

A radioactive sample decays at a rate of 0.05% per hour. If the initial mass of the sample is 100 g, what is the mass of the sample after 5 hours?

A. 90.25 g

Correct B. 91.25 g

C. 92.25 g

D. 93.25 g

Correct Answer: B

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Question 23

A 100 W light bulb is connected to a 220 V power source. If the bulb is used for 5 hours a day, what is the total energy consumed by the bulb in a month?

A. 120 kWh

B. 150 kWh

C. 180 kWh

Correct D. 200 kWh

Correct Answer: D

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Question 24

A gas expands from 2 L to 5 L against a cons\tant external pressure of 2 atm. If the initial temperature is 300 K, what is the final temperature of the gas?

A. 350 K

Correct B. 400 K

C. 450 K

D. 500 K

Correct Answer: B

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Question 25

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 120 V is applied across the circuit, what is the current flowing through the circuit?

A. 2 A

B. 3 A

Correct C. 4 A

D. 5 A

Correct Answer: C

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