POST UTME COAL CITY UNIVERSITY 2020 Physics | Objective

Are you preparing for POST UTME COAL CITY UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Physics (Objective) questions designed to simulate the real exam environment.

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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. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 6 N
B. 8 N
Correct C. 10 N
D. 12 N

Correct Answer: C

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Question 2
A 100 V, 2 A current source is connected to a 50 Ω resistor. What is the power dissipated in the resistor?
Correct A. 50 W
B. 100 W
C. 200 W
D. 250 W

Correct Answer: A

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Question 3
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is 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 4
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 20 Ω
B. 30 Ω
Correct C. 40 Ω
D. 50 Ω

Correct Answer: C

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Question 5
A 100 W heater is connected to a 220 V power source. What is the current drawn by the heater?
A. 0.4 A
Correct B. 0.5 A
C. 0.6 A
D. 0.7 A

Correct Answer: B

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Question 6
A 5.0 g sample of a radioactive subs\tance decays to 2.5 g in 10 days. Calculate the half-life of the subs\tance.
A. 5 days
Correct B. 10 days
C. 15 days
D. 20 days

Correct Answer: B

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Question 7
A body of mass 2.0 kg is moving with a velocity of 5.0 m/s. If the body is subjected to a force of 10 N, calculate the acceleration of the body.
A. 1.0 m/s^2
Correct B. 2.0 m/s^2
C. 3.0 m/s^2
D. 4.0 m/s^2

Correct Answer: B

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Question 8
A wave has a frequency of 50 Hz and a wavelength of 2.0 m. Calculate the speed of the wave.
A. 100 m/s
Correct B. 200 m/s
C. 300 m/s
D. 400 m/s

Correct Answer: B

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Question 9
A particle of mass 1.0 kg is moving in a circular path with a radius of 2.0 m. If the particle is subjected to a centripetal force of 10 N, calculate the velocity of the particle.
A. 1.0 m/s
B. 2.0 m/s
Correct C. 3.0 m/s
D. 4.0 m/s

Correct Answer: C

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Question 10
A body of mass 3.0 kg is moving with a velocity of 4.0 m/s. If the body is subjected to a force of 15 N, calculate the acceleration of the body.
A. 1.0 m/s^2
B. 2.0 m/s^2
Correct C. 3.0 m/s^2
D. 4.0 m/s^2

Correct Answer: C

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Question 11
A 2.5 mH inductor is connected in series with a 10 V, 50 Hz AC source. Calculate the inductive reac\tance of the inductor.
Correct A. \( 2.5 \times 10^{-3} \times 2 pi \times 50 \) Ω
B. \( 2.5 \times 10^{-3} \times 2 pi \times 100 \) Ω
C. \( 2.5 \times 10^{-3} \times 2 pi \times 200 \) Ω
D. \( 2.5 \times 10^{-3} \times 2 pi \times 500 \) Ω

Correct Answer: A

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Question 12
A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle completes one revolution in 4 s, calculate its angular velocity.
Correct A. \( \frac{2 pi}{4} \) rad/s
B. \( \frac{2 pi}{2} \) rad/s
C. \( \frac{2 pi}{1} \) rad/s
D. \( \frac{2 pi}{0.5} \) rad/s

Correct Answer: A

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Question 13
A heat engine operates between the temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat energy, calculate its efficiency.
Correct A. \( \frac{1000}{500} \)
B. \( \frac{1000}{300} \)
C. \( \frac{1000}{200} \)
D. \( \frac{1000}{100} \)

Correct Answer: A

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Question 14
A convex lens of focal length 20 cm forms an image of an object 30 cm away. Calculate the magnification of the lens.
Correct A. \( \frac{1}{2} \)
B. \( \frac{1}{3} \)
C. \( \frac{1}{4} \)
D. \( \frac{1}{5} \)

Correct Answer: A

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Question 15
A 100 W light bulb is connected to a 220 V AC source. Calculate the current flowing through the bulb.
Correct A. \( \frac{100}{220} \) A
B. \( \frac{100}{200} \) A
C. \( \frac{100}{150} \) A
D. \( \frac{100}{50} \) A

Correct Answer: A

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Question 16
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 centripetal acceleration of the particle?
A. 12 m/s^2
B. 16 m/s^2
Correct C. 20 m/s^2
D. 24 m/s^2

Correct Answer: C

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Question 17
A circuit consists of a 12 V battery, a 4 Ω resistor, and an unknown resistor. The current in the circuit is 2 A. What is the value of the unknown resistor?
A. 2 Ω
B. 4 Ω
C. 6 Ω
Correct D. 8 Ω

Correct Answer: D

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Question 18
A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?
A. 5 years
Correct B. 10 years
C. 15 years
D. 20 years

Correct Answer: B

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Question 19
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is 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 20
A \tank is filled with water to a height of 10 m. What is the pressure at the bottom of the \tank?
A. 100 kPa
B. 200 kPa
Correct C. 300 kPa
D. 400 kPa

Correct Answer: C

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Question 21
A 2.5 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. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
A. 1.0 m/s
B. 1.5 m/s
Correct C. 2.0 m/s
D. 2.5 m/s

Correct Answer: C

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Question 22
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. A 12 V battery is connected across the circuit. Calculate the current through the 20 Ω resistor.
A. 0.4 A
B. 0.6 A
Correct C. 0.8 A
D. 1.0 A

Correct Answer: C

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Question 23
A particle moves in a circular path with a cons\tant speed of 5 m/s. The radius of the circle is 2 m. Calculate the magnitude of the acceleration of the particle.
A. 2.5 m/s^2
Correct B. 5.0 m/s^2
C. 7.5 m/s^2
D. 10.0 m/s^2

Correct Answer: B

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Question 24
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. Calculate the maximum height reached by the projectile.
A. 5.0 m
B. 10.0 m
Correct C. 15.0 m
D. 20.0 m

Correct Answer: C

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Question 25
A gas expands from an initial volume of 2 L to a final volume of 5 L at a cons\tant temperature. Calculate the work done by the gas.
A. 100 J
B. 200 J
Correct C. 300 J
D. 400 J

Correct Answer: C

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