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POST UTME LEAD CITY UNIVERSITY 2022 Physics | Objective

Are you preparing for POST UTME LEAD CITY UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of an \alpha particle is 4 u, calculate 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 2

A gas is confined to a cylinder of volume 2.5 L at a temperature of 300 K. If the gas is heated to 400 K, and the volume is increased to 5 L, calculate the work done by the gas.

A. 100 J

B. 200 J

Correct C. 500 J

D. 1000 J

Correct Answer: C

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Question 3

A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, calculate the maximum kinetic energy of the block.

A. 10 J

B. 20 J

Correct C. 50 J

D. 100 J

Correct Answer: C

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Question 4

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, calculate the current flowing through the circuit.

A. 0.4 A

Correct B. 0.6 A

C. 0.8 A

D. 1 A

Correct Answer: B

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Question 5

A p\endulum of length 1 m is released from an initial angle of 30°. If the p\endulum is released from rest, calculate the maximum speed of the p\endulum.

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 6

A parallel plate capacitor has plates of area 0.1 m^2 and separation 0.01 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 10^-9 F

B. 10^-8 F

Correct C. 10^-7 F

D. 10^-6 F

Correct Answer: C

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Question 7

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 days, calculate the activity after 30 days.

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 8

A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the angular velocity.

A. 0.5 rad/s

B. 1 rad/s

Correct C. 2 rad/s

D. 5 rad/s

Correct Answer: C

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Question 9

A parallel beam of light is incident on a prism with an angle of incidence of 30°. If the re\fractive index of the prism is 1.5, calculate the angle of re\fraction.

A. 20°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 10

A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 0.5 T. If the particle is moving with a speed of 3 m/s, calculate the force experienced by the particle.

A. 0.5 N

B. 1 N

Correct C. 2 N

D. 3 N

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 force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 12

A 100 V, 2 A current source is connected to a 4 ohm resistor in series with a 6 ohm resistor. What is the current through the 6 ohm resistor?

A. 1 A

Correct B. 1.5 A

C. 2 A

D. 2.5 A

Correct Answer: B

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Question 13

A 10 mH inductor is connected in series with a 20 ohm resistor and a 100 V source. If the initial current is 0 A, what is the current at t = 2 s?

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 14

A 5 kg block is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the block is subjected to a centripetal force of 10 N, what is the magnitude of the force?

A. 8 N

Correct B. 10 N

C. 12 N

D. 15 N

Correct Answer: B

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Question 15

A 100 V, 5 A current source is connected to a 10 ohm resistor in series with a 15 ohm resistor. What is the current through the 15 ohm resistor?

A. 1.5 A

B. 2 A

Correct C. 2.5 A

D. 3 A

Correct Answer: C

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Question 16

A radioactive sample of Uranium-238 undergoes \alpha decay. If the half-life of Uranium-238 is 4.5 billion years, what is the decay cons\tant (λ) in s^-1?

Correct A. 1.54 x 10^-18 s^-1

B. 1.54 x 10^-17 s^-1

C. 1.54 x 10^-16 s^-1

D. 1.54 x 10^-15 s^-1

Correct Answer: A

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Question 17

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If a dielectric material with a dielectric cons\tant of 3 is inserted between the plates, what is the new capaci\tance?

A. 30 μF

B. 40 μF

Correct C. 50 μF

D. 60 μF

Correct Answer: C

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Question 18

A gas at 300 K and 1 atm is compressed to 2 atm. What is the new temperature in Kelvin?

A. 200 K

B. 300 K

Correct C. 400 K

D. 500 K

Correct Answer: C

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Question 19

A convex lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm. What is the magnification of the lens?

A. 0.5

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 20

A heat engine operates between a temperature of 500 K and 300 K. What is the maximum efficiency of the engine?

A. 0.4

Correct B. 0.5

C. 0.6

D. 0.7

Correct Answer: B

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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 acceleration of the particle?

A. 4 m/s^2

B. 8 m/s^2

Correct C. 12 m/s^2

D. 16 m/s^2

Correct Answer: C

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Question 22

A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. What is the speed of the sound wave?

A. 150 m/s

B. 200 m/s

Correct C. 300 m/s

D. 400 m/s

Correct Answer: C

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Question 23

A block of mass 5 kg is 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 24

A car is traveling at a speed of 25 m/s. If the driver applies the brakes and the car comes to rest in 4 s, what is the magnitude of the acceleration of the car?

A. 3 m/s^2

Correct B. 6 m/s^2

C. 9 m/s^2

D. 12 m/s^2

Correct Answer: B

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Question 25

A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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