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POST UTME LEAD CITY UNIVERSITY 2018 Physics | Objective

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Question 1

A radioactive sample of Δₗ emits Δₗα particles with a half-life of 3.8 × 10¹ years. If the initial activity is 1.2 × 10¹ Bq, what is the activity after 1.2 × 10¹ years?

A. 4.8 × 10¹ Bq

Correct B. 2.4 × 10¹ Bq

C. 1.2 × 10¹ Bq

D. 6.0 × 10¹ Bq

Correct Answer: B

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Question 2

A particle of mass 2.0 × 10¹ kg is moving in a circular path of radius 1.5 × 10¹ m with a speed of 3.0 × 10¹ m/s. What is the magnitude of the magnetic field required to keep the particle in this path?

A. 0.10 T

B. 0.20 T

Correct C. 0.30 T

D. 0.40 T

Correct Answer: C

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Question 3

A wave of wavelength 2.0 × 10¹ m and frequency 1.5 × 10¹ Hz is traveling through a medium with a speed of 3.0 × 10¹ m/s. What is the amplitude of the wave?

A. 0.10 m

B. 0.20 m

Correct C. 0.30 m

D. 0.40 m

Correct Answer: C

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Question 4

A capacitor of capaci\tance 2.0 × 10¹ F is connected to a battery of voltage 1.5 × 10¹ V. What is the energy stored in the capacitor?

A. 3.0 × 10¹ J

B. 4.5 × 10¹ J

Correct C. 6.0 × 10¹ J

D. 7.5 × 10¹ J

Correct Answer: C

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Question 5

A block of mass 5.0 × 10¹ kg is attached to a spring of spring cons\tant 2.0 × 10¹ N/m. The block is displaced by 1.0 × 10¹ m from its equilibrium position and released from rest. What is the frequency of the resulting oscillations?

A. 1.0 × 10¹ Hz

Correct B. 2.0 × 10¹ Hz

C. 3.0 × 10¹ Hz

D. 4.0 × 10¹ Hz

Correct Answer: B

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Question 6

A particle of mass 0.5 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.

A. 0.5 J

Correct B. 1.0 J

C. 1.5 J

D. 2.0 J

Correct Answer: B

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Question 7

A sound wave with frequency 200 Hz is traveling through a medium with speed 340 m/s. If the amplitude of the wave is 0.01 m, calculate the intensity of the wave.

Correct A. 10^-3 W/m^2

B. 10^-2 W/m^2

C. 10^-1 W/m^2

D. 1 W/m^2

Correct Answer: A

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Question 8

A block of mass 2 kg is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant 50 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, calculate the angular frequency of the block's motion.

A. 1 rad/s

B. 2 rad/s

Correct C. 3 rad/s

D. 4 rad/s

Correct Answer: C

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Question 9

A \tank contains 100 L of water at a temperature of 20°C. If 10 kg of ice at 0°C is added to the \tank, calculate the final temperature of the water.

A. 0°C

Correct B. 5°C

C. 10°C

D. 15°C

Correct Answer: B

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Question 10

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, calculate 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 11

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

A. 200 μC

Correct B. 400 μC

C. 600 μC

D. 800 μC

Correct Answer: B

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Question 12

A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. Calculate the work done by the gas.

Correct A. -4 J

B. -2 J

C. 2 J

D. 4 J

Correct Answer: A

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Question 13

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

A. 12 N

B. 24 N

Correct C. 36 N

D. 48 N

Correct Answer: C

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Question 14

A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2 eV, calculate the maximum kinetic energy of the emitted electron.

A. 1 eV

Correct B. 2 eV

C. 3 eV

D. 4 eV

Correct Answer: B

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Question 15

A block of mass 5 kg 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, calculate the maximum speed of the block.

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 16

A gas at a pressure of 2.5 atm and temperature of 300 K is heated to a temperature of 400 K. If the volume of the gas is 2.0 m^3, what is the final pressure of the gas?

A. 3.5 atm

Correct B. 4.0 atm

C. 4.5 atm

D. 5.0 atm

Correct Answer: B

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Question 17

A magnetic field of 0.5 T is applied to a coil of wire with 100 turns and a resis\tance of 10 Ω. If the current in the coil is 2 A, what is the induced emf in the coil?

A. 0.5 V

Correct B. 1.0 V

C. 1.5 V

D. 2.0 V

Correct Answer: B

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Question 18

A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 19

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current in the circuit?

A. 0.5 A

B. 1.0 A

Correct C. 1.5 A

D. 2.0 A

Correct Answer: C

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Question 20

A projectile is launched at an angle of 45° to the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s^2, what is the time of flight of the projectile?

A. 2.0 s

Correct B. 4.0 s

C. 6.0 s

D. 8.0 s

Correct Answer: B

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Question 21

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 15 days?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 22

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

Correct A. 1.7 m

B. 1.7 cm

C. 1.7 mm

D. 1.7 km

Correct Answer: A

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Question 23

A gas is heated from 300 K to 400 K at cons\tant volume. What is the change in internal energy of the gas?

Correct A. 100 J

B. 200 J

C. 300 J

D. 400 J

Correct Answer: A

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Question 24

A vector has a magnitude of 5 m and makes an angle of 30° with the positive 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 25

A body is in equilibrium under the action of three forces. If the magnitude of two of the forces is 10 N and 15 N, respectively, and the angle between them is 60°, what is the magnitude of the third force?

A. 20 N

B. 25 N

Correct C. 30 N

D. 35 N

Correct Answer: C

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