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POST UTME LEAD CITY UNIVERSITY 2021 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 2021 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A 1000 Ω resistor is connected in series with a 200 V battery. If the internal resis\tance of the battery is 10 Ω, what is the current flowing through the circuit?

A. 0.2 A

Correct B. 0.25 A

C. 0.3 A

D. 0.35 A

Correct Answer: B

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Question 2

A wave has a frequency of 50 Hz and a wavelength of 10 m. What is its velocity?

Correct A. 500 m/s

B. 5000 m/s

C. 50000 m/s

D. 500000 m/s

Correct Answer: A

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Question 3

A 100 V AC supply is connected to a 50 Ω resistor. What is the current flowing through the resistor?

Correct A. 2 A

B. 2.5 A

C. 3 A

D. 3.5 A

Correct Answer: A

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Question 4

A body is at rest on a horizontal surface. What is the net force acting on the body?

Correct A. 0 N

B. 10 N

C. 20 N

D. 30 N

Correct Answer: A

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Question 5

A 1000 m³ volume of air is heated from 20°C to 50°C. What is the change in volume?

A. 100 m³

Correct B. 200 m³

C. 300 m³

D. 400 m³

Correct Answer: B

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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 subject to a centripetal force of 12 N, what is the magnitude of the force?

A. 8 N

Correct B. 12 N

C. 16 N

D. 20 N

Correct Answer: B

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Question 7

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 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 8

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?

Correct A. Positive x-direction

B. Negative x-direction

C. Positive y-direction

D. Negative y-direction

Correct Answer: A

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Question 9

A particle of mass 1 kg is moving in a straight line with a cons\tant acceleration of 2 m/s^2. If the particle's initial velocity is 4 m/s, what is its velocity after 3 seconds?

A. 6 m/s

Correct B. 8 m/s

C. 10 m/s

D. 12 m/s

Correct Answer: B

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Question 10

A block of mass 3 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 150 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is the period of the block's motion?

A. 0.5 s

Correct B. 1 s

C. 1.5 s

D. 2 s

Correct Answer: B

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Question 11

In a double-slit experiment, a beam of light passes through two parallel slits, creating an interference pattern on a screen. If the dis\tance between the slits is 0.5 mm and the wavelength of the light is 500 nm, calculate the fringe width.

Correct A. 1.0 mm

B. 0.5 mm

C. 2.0 mm

D. 1.5 mm

Correct Answer: A

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Question 12

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the particle.

Correct A. 2.0 m/s

B. 1.0 m/s

C. 4.0 m/s

D. 3.0 m/s

Correct Answer: A

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Question 13

A gas is contained in a cylinder of volume 2.5 L at a pressure of 2.0 atm. If the temperature is increased by 20°C, calculate the new pressure of the gas.

A. 2.5 atm

Correct B. 3.0 atm

C. 4.0 atm

D. 1.5 atm

Correct Answer: B

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Question 14

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance is 10 μF, calculate the charge stored on the capacitor when a potential difference of 5 V is applied across it.

A. 50 μC

Correct B. 100 μC

C. 200 μC

D. 500 μC

Correct Answer: B

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Question 15

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 16

A 2.0 kg block of ice at 0°C is placed in a 5.0 kg block of copper at 100°C. Assuming no heat is lost to the surroundings, what is the final temperature of the system?

A. 10°C

Correct B. 20°C

C. 30°C

D. 40°C

Correct Answer: B

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Question 17

A 100 Ω resistor is connected in series with a 20 μF capacitor and a 50 Hz AC source. What is the impedance of the circuit?

A. 120 Ω

B. 140 Ω

Correct C. 160 Ω

D. 180 Ω

Correct Answer: C

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Question 18

A gas expands from 1.0 L to 2.0 L against a cons\tant external pressure of 1.0 atm. What is the work done by the gas?

A. 1.0 L atm

Correct B. 2.0 L atm

C. 3.0 L atm

D. 4.0 L atm

Correct Answer: B

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Question 19

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

Correct B. 20 m

C. 30 m

D. 40 m

Correct Answer: B

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Question 20

A 5.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2.0 m from its equilibrium position and released from rest. What is the frequency of the resulting simple harmonic motion?

A. 1.0 Hz

B. 2.0 Hz

Correct C. 3.0 Hz

D. 4.0 Hz

Correct Answer: C

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Question 21

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 on the plates when the potential difference between them is 100 V?

A. 1.25 x 10^-8 C

Correct B. 2.5 x 10^-8 C

C. 5.0 x 10^-8 C

D. 7.5 x 10^-8 C

Correct Answer: B

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Question 22

A ray of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 40°, what is the angle of deviation?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 23

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the magnitude of the centripetal acceleration?

A. 0.5 m/s^2

B. 1.0 m/s^2

Correct C. 2.0 m/s^2

D. 4.0 m/s^2

Correct Answer: C

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Question 24

A magnetic field of strength 0.5 T is directed along the x-axis. A current of 2 A is flowing in a wire along the y-axis. What is the magnitude of the force on the wire?

A. 0.5 N

B. 1.0 N

Correct C. 2.0 N

D. 4.0 N

Correct Answer: C

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Question 25

A wave function is given by ψ(x) = A \sin(kx). What is the value of k?

A. 1.0 m^-1

B. 2.0 m^-1

Correct C. 3.0 m^-1

D. 4.0 m^-1

Correct Answer: C

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