Practice post utme futo physics 2024 Past Questions

Question 1

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's angular velocity is 4 rad/s, what is its linear velocity?

A. 12 m/s

Correct B. 16 m/s

C. 20 m/s

D. 24 m/s

Correct Answer: B

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Question 2

A gas occupies a volume of 2.5 L at a pressure of 1.2 atm. If the pressure is increased to 2.5 atm, what is the new volume of the gas?

A. 1.25 L

B. 1.5 L

Correct C. 1.75 L

D. 2.0 L

Correct Answer: C

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Question 3

A radioactive sample has a half-life of 3 days. If the initial activity is 100 Bq, what is the activity after 9 days?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 4

A projectile is launched at an angle of 60° above the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s², what is the maximum height reached by the projectile?

A. 15 m

Correct B. 20 m

C. 25 m

D. 30 m

Correct Answer: B

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Question 5

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 m. If the initial phase angle is 30°, what is the equation of motion?

Correct A. x(t) = 5 \cos \( 4\pi t + \frac{\pi}{6} \)

B. x(t) = 5 \cos \( 4\pi t - \frac{\pi}{6} \)

C. x(t) = 5 \sin \( 4\pi t + \frac{\pi}{6} \)

D. x(t) = 5 \sin \( 4\pi t - \frac{\pi}{6} \)

Correct Answer: A

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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. 8 m/s^2

Correct B. 12 m/s^2

C. 16 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 7

A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 20 years?

Correct A. 125 Bq

B. 250 Bq

C. 500 Bq

D. 1000 Bq

Correct Answer: A

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Question 8

A 5 kg block is moving on a frictionless surface with an initial velocity of 10 m/s. If a force of 20 N is applied to the block for 2 seconds, what is the final velocity of the block?

A. 12 m/s

B. 15 m/s

C. 18 m/s

Correct D. 20 m/s

Correct Answer: D

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Question 9

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across the capacitor, what is the charge stored on the capacitor?

A. 0.2 C

Correct B. 0.4 C

C. 0.6 C

D. 0.8 C

Correct Answer: B

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Question 10

A 10 Ω resistor is connected in series with a 20 Ω resistor. If a current of 2 A flows through the circuit, what is the potential difference across the 20 Ω resistor?

A. 10 V

B. 20 V

Correct C. 30 V

D. 40 V

Correct Answer: C

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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. 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 12

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. 10 Bq

B. 20 Bq

Correct C. 50 Bq

D. 80 Bq

Correct Answer: C

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Question 13

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

A. 15 m

B. 20 m

Correct C. 25 m

D. 30 m

Correct Answer: C

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Question 14

A quantum particle is confined to a one-dimensional box of length 1 m. If the particle has a mass of 1 kg and a total energy of 10 eV, what is the wavelength of the particle?

A. 0.1 nm

B. 0.5 nm

Correct C. 1 nm

D. 5 nm

Correct Answer: C

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Question 15

A magnetic field of 2 T is applied to a current-carrying wire of length 1 m. If the current in the wire is 5 A, what is the force exerted on the wire?

A. 0.1 N

B. 0.5 N

Correct C. 1 N

D. 5 N

Correct Answer: C

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Question 16

A radioactive sample of Uranium-238 has a half-life of 4.5 billion years. If the initial activity is 1000 Bq, what is the activity after 9 billion years?

A. 100 Bq

B. 10 Bq

C. 1 Bq

Correct D. 0.1 Bq

Correct Answer: D

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Question 17

A sound wave with a frequency of 200 Hz has a speed of 343 m/s. What is the wavelength of the sound wave?

Correct A. 1.71 m

B. 1.41 m

C. 1.11 m

D. 0.91 m

Correct Answer: A

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Question 18

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1.5 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 19

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a velocity of 4 m/s, what is the centripetal force acting on the particle?

A. 16 N

B. 24 N

Correct C. 32 N

D. 40 N

Correct Answer: C

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Question 20

A 2 kg block is moving up a 30° inclined plane with a speed of 4 m/s. If the coefficient of kinetic friction is 0.2, what is the force of friction acting on the block?

A. 10 N

B. 12 N

Correct C. 14 N

D. 16 N

Correct Answer: C

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Question 21

A particle moves in a straight line with a cons\tant acceleration of 2 m/s^2. If its initial velocity is 5 m/s, find its velocity after 4 seconds.

A. 13 m/s

B. 15 m/s

Correct C. 17 m/s

D. 19 m/s

Correct Answer: C

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Question 22

A body is thrown upwards from the surface of the earth with an initial velocity of 20 m/s. Neglecting air resis\tance, find the maximum height reached by the body.

A. 40 m

B. 50 m

Correct C. 60 m

D. 70 m

Correct Answer: C

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Question 23

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Find the maximum speed of the block.

A. 1.6 m/s

B. 2.0 m/s

Correct C. 2.4 m/s

D. 2.8 m/s

Correct Answer: C

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Question 24

A heat engine operates between a temperature of 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, find the work done by the engine.

A. 400 J

B. 500 J

Correct C. 600 J

D. 700 J

Correct Answer: C

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Question 25

A particle moves in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 2 m, find 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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