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POST UTME LEAD CITY UNIVERSITY 2024 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 2024 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

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. What is the magnitude of the force acting on the particle?

A. 10 N

Correct B. 12 N

C. 15 N

D. 18 N

Correct Answer: B

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Question 2

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 3

A capacitor consists of two parallel plates, each of area 0.1 m², separated by a dis\tance of 0.01 m. If the potential difference between the plates is 10 V, what is the capaci\tance?

Correct A. 0.01 F

B. 0.02 F

C. 0.03 F

D. 0.04 F

Correct Answer: A

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Question 4

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

A. 20 Bq

Correct B. 30 Bq

C. 40 Bq

D. 50 Bq

Correct Answer: B

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Question 5

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 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the value of the dielectric cons\tant?

A. 1.0

Correct B. 2.0

C. 3.0

D. 4.0

Correct Answer: B

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Question 7

A heat engine operates between the temperatures 500 K and 300 K. If the engine has an efficiency of 30%, what is the value of the work done per cycle?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 8

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

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 9

A particle moves in a circular path with a radius of 2 m and a speed of 4 m/s. If the particle is moving in a clockwise direction, what is the magnitude of the acceleration?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 4 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 10

A magnetic field is produced by a current-carrying wire. If the current is 2 A and the length of the wire is 1 m, what is the magnitude of the magnetic field at a dis\tance of 0.5 m?

A. 0.1 T

B. 0.2 T

Correct C. 0.4 T

D. 0.8 T

Correct Answer: C

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Question 11

A gas is enclosed in a container with a movable piston. The gas is heated from 300 K to 400 K. If the initial volume is 2.0 L and the final volume is 3.0 L, calculate the work done by the gas in Joules.

A. 1200 J

B. 1500 J

Correct C. 1800 J

D. 2000 J

Correct Answer: C

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Question 12

A particle of mass 2.0 kg is moving in a circular path with a radius of 3.0 m. If the particle has a speed of 4.0 m/s, calculate the centripetal force acting on the particle in Newtons.

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 13

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2.0 A, calculate the power dissipated by the 6 Ω resistor in Watts.

A. 12 W

B. 18 W

Correct C. 24 W

D. 30 W

Correct Answer: C

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Question 14

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, calculate the maximum possible work output in Joules.

A. 1000 J

B. 1500 J

Correct C. 2000 J

D. 2500 J

Correct Answer: C

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Question 15

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 seconds later, calculate the maximum height reached by the projectile in meters.

A. 5 m

B. 10 m

Correct C. 15 m

D. 20 m

Correct Answer: C

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Question 16

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. The particle is subject to a centripetal force of 10 N. What is 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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Question 17

A 10 V battery is connected in series to a 5 Ω resistor and a 2 Ω resistor. What is the current flowing through the 5 Ω resistor?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 4 A

Correct Answer: B

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Question 18

A wave function is given by ψ(x) = Ae^\( -αx^2 \). What is the probability density of the wave function?

Correct A. |ψ(x)|^2 = Ae^{-2αx^2}

B. |ψ(x)|^2 = Ae^{-αx^2}

C. |ψ(x)|^2 = Ae^{αx^2}

D. |ψ(x)|^2 = Ae^{-2αx^4}

Correct Answer: A

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Question 19

A block of mass 5 kg is placed on a horizontal surface. A force of 20 N is applied to the block. What is the acceleration of the block?

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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Question 20

A projectile is launched at an angle of 45° with an initial velocity of 20 m/s. 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 21

A beam of light is incident on a glass slab at an angle of 45°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction u\sing Snell's law.

Correct A. 30°

B. 45°

C. 60°

D. 75°

Correct Answer: A

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Question 22

A 100 W light bulb is connected to a 220 V power source. Calculate the current drawn by the bulb u\sing Joule's law.

Correct A. 0.45 A

B. 0.9 A

C. 1.8 A

D. 4.5 A

Correct Answer: A

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Question 23

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle completes 5 revolutions per second, calculate its angular velocity u\sing the formula ω = v/r.

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 24

A wave has a frequency of 50 Hz and a wavelength of 2 m. Calculate its speed u\sing the formula v = fλ.

A. 1000 m/s

Correct B. 2000 m/s

C. 3000 m/s

D. 4000 m/s

Correct Answer: B

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Question 25

A quantum particle has a wave function ψ(x) = Ae^\( -αx^2 \). Calculate the expectation value of x u\sing the formula <x> = ∫x|ψ(x)|^2dx.

A. 0

Correct B. 1/α

C. 1/2α

D. 1/3α

Correct Answer: B

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