Practice post utme joseph ayo babalola university physics 2024 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 angle between the force and the radius vector at the ins\tant the particle is at the top of its path?

A. 45°

B. 60°

Correct C. 90°

D. 120°

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 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 3

A radioactive sample has a half-life of 2 hours. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 4 hours?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 4

A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium with a speed of 340 m/s. What is the amplitude of the wave?

A. 0.01 m

B. 0.05 m

Correct C. 0.1 m

D. 0.5 m

Correct Answer: C

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Question 5

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

A. 10 m

B. 20 m

Correct C. 30 m

D. 40 m

Correct Answer: C

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Question 6

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

A. 10 Ω

Correct B. 20 Ω

C. 30 Ω

D. 40 Ω

Correct Answer: B

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Question 7

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 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 100 μA current flows through a 10 Ω resistor. If the voltage across the resistor is 10 V, calculate the power dissipated by the resistor.

A. 10 mW

B. 100 mW

Correct C. 1 W

D. 10 W

Correct Answer: C

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Question 9

A 50 Hz AC source is connected in series with a 20 Ω resistor and a 10 μF capacitor. If the voltage across the capacitor is 100 V, calculate the current flowing through the circuit.

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 10

A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a 100 V source is connected across the combination, calculate the current flowing through the 10 Ω resistor.

A. 5 A

Correct B. 10 A

C. 15 A

D. 20 A

Correct Answer: B

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Question 11

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge stored when the potential difference between the plates is 100 V?

Correct A. 2.5 x 10^-8 C

B. 2.5 x 10^-9 C

C. 2.5 x 10^-7 C

D. 2.5 x 10^-6 C

Correct Answer: A

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Question 12

A current of 5 A flows through a resistor of 10 ohms. What is the power dissipated in the resistor?

Correct A. 25 W

B. 50 W

C. 75 W

D. 100 W

Correct Answer: A

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Question 13

A body of mass 2 kg is moving with a velocity of 5 m/s. What is its kinetic energy?

Correct A. 25 J

B. 50 J

C. 75 J

D. 100 J

Correct Answer: A

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Question 14

A wave has a frequency of 50 Hz and a wavelength of 0.1 m. What is its speed?

A. 5 m/s

Correct B. 10 m/s

C. 15 m/s

D. 20 m/s

Correct Answer: B

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Question 15

A circuit consists of a 10 ohm resistor and a 20 ohm resistor connected in series. If a voltage of 100 V is applied across the circuit, what is the current flowing through the circuit?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 16

A body is moving in a circular path with a radius of 0.5 m. If the body completes one revolution in 2 seconds, what is its angular velocity?

A. 1 rad/s

Correct B. 2 rad/s

C. 3 rad/s

D. 4 rad/s

Correct Answer: B

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Question 17

A wave has a frequency of 100 Hz and a wavelength of 0.2 m. What is its speed?

A. 20 m/s

B. 30 m/s

Correct C. 40 m/s

D. 50 m/s

Correct Answer: C

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Question 18

A circuit consists of a 20 ohm resistor and a 30 ohm resistor connected in parallel. If a voltage of 150 V is applied across the circuit, what is the current flowing through the circuit?

A. 3 A

B. 4 A

Correct C. 5 A

D. 6 A

Correct Answer: C

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Question 19

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 force and the radius vector?

A. 30°

B. 45°

Correct C. 60°

D. 90°

Correct Answer: C

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Question 20

A capacitor consists of two parallel plates, each of area 0.1 m², separated by a dis\tance of 0.01 m. If the capaci\tance is 10 μF, what is the charge stored on the capacitor when a potential difference of 5 V is applied across it?

A. 0.05 C

Correct B. 0.1 C

C. 0.15 C

D. 0.2 C

Correct Answer: B

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Question 21

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° to 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 22

A current of 5 A flows through a resistor of 10 Ω. What is the power dissipated by the resistor?

A. 25 W

Correct B. 50 W

C. 75 W

D. 100 W

Correct Answer: B

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Question 23

A force of 10 N acts on an object of mass 2 kg, cau\sing it to accelerate at 5 m/s². What is the force acting on the object in the opposite direction?

A. 5 N

B. 10 N

C. 15 N

Correct D. 20 N

Correct Answer: D

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Question 24

A capacitor consists of two parallel plates, each of area 0.1 m², separated by a dis\tance of 0.01 m. If the capaci\tance is 10 μF, what is the energy stored in the capacitor when a potential difference of 5 V is applied across it?

A. 0.025 J

Correct B. 0.05 J

C. 0.075 J

D. 0.1 J

Correct Answer: B

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Question 25

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If air resis\tance is neglected, what is the range of the projectile?

A. 20 m

B. 30 m

Correct C. 40 m

D. 50 m

Correct Answer: C

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