POST UTME CHRISTOPHER UNIVERSITY 2024 Physics | Objective

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Question 1 View Details
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 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 as it passes through the equilibrium position.
A. 2 m/s
Correct B. 4 m/s
C. 6 m/s
D. 8 m/s

Correct Answer: B

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Question 2 View Details
A parallel plate capacitor consists of two plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capacitor is connected to a 12 V battery. Calculate the capaci\tance of the capacitor.
A. 0.02 F
Correct B. 0.04 F
C. 0.06 F
D. 0.08 F

Correct Answer: B

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Question 3 View Details
A 100 W light bulb is connected to a 220 V power source. Calculate the current drawn by the light bulb.
A. 0.25 A
B. 0.5 A
C. 0.75 A
Correct D. 1 A

Correct Answer: D

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Question 4 View Details
A body of mass 2 kg is moving in a circular path with a radius of 3 m. The body is subject to a centripetal force of 10 N. Calculate the speed of the body.
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 5 View Details
A 10 V battery is connected to a 2 ohm resistor. Calculate the current drawn by the resistor.
A. 0.5 A
Correct B. 1 A
C. 2 A
D. 5 A

Correct Answer: B

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Question 6 View Details
A 2.5 m long wire of resis\tance 5 Ω is connected in series with a 10 V battery. If the wire is stretched to 3.75 m, what is the new resis\tance?
A. 6.25 Ω
Correct B. 7.5 Ω
C. 8 Ω
D. 10 Ω

Correct Answer: B

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Question 7 View Details
A 5 kg block is attached to a horizontal, massless 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 speed of the block when it passes through the equilibrium position?
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 View Details
A 1000 kg car is traveling at 20 m/s when the brakes are applied. If the car is brought to rest in 4 s, what is the average force exerted on the car?
A. 2500 N
B. 5000 N
Correct C. 7500 N
D. 10000 N

Correct Answer: C

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Question 9 View Details
A 2 m long pipe is connected to a 10 m long pipe. The speed of sound in the 2 m pipe is 300 m/s, and the speed of sound in the 10 m pipe is 400 m/s. What is the average speed of sound in the combined pipe?
A. 320 m/s
B. 350 m/s
Correct C. 380 m/s
D. 400 m/s

Correct Answer: C

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Question 10 View Details
A 10 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 3 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 6 m/s
B. 8 m/s
Correct C. 10 m/s
D. 12 m/s

Correct Answer: C

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Question 11 View Details
A thermodynamic system undergoes a process from state A to state B. If the system's internal energy is 100 J at state A and 120 J at state B, and the work done by the system is 30 J, what is the heat transferred to the system?
Correct A. 60 J
B. 80 J
C. 100 J
D. 120 J

Correct Answer: A

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Question 12 View Details
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current through the 4 Ω resistor is 2 A, what is the current through the 6 Ω resistor?
A. 1.5 A
B. 2 A
Correct C. 2.5 A
D. 3 A

Correct Answer: C

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Question 13 View Details
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, what is the angular velocity of the particle?
A. 2 rad/s
Correct B. 4 rad/s
C. 6 rad/s
D. 8 rad/s

Correct Answer: B

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Question 14 View Details
A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. If the daughter nucleus has a mass number of 236 and an atomic number of 90, what is the energy released in the decay?
A. 5 MeV
Correct B. 10 MeV
C. 15 MeV
D. 20 MeV

Correct Answer: B

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Question 15 View Details
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. If the speed of sound is 343 m/s, what is the amplitude of the wave?
A. 0.1 m
Correct B. 0.2 m
C. 0.3 m
D. 0.4 m

Correct Answer: B

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Question 16 View Details
A block of wood with a density of 0.8 g/cm³ is susp\ended in a fluid with a density of 0.9 g/cm³. What is the apparent weight of the block?
A. 0.8 g
Correct B. 0.72 g
C. 0.96 g
D. 1.08 g

Correct Answer: B

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Question 17 View Details
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 50 Ω resistor. What is the total resis\tance?
A. 150 Ω
B. 250 Ω
Correct C. 350 Ω
D. 450 Ω

Correct Answer: C

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Question 18 View Details
A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength?
Correct A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m

Correct Answer: A

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Question 19 View Details
A convex lens with a focal length of 20 cm is used to form an image of an object at a dis\tance of 30 cm. What is the magnification?
A. 0.5
Correct B. 0.6
C. 0.7
D. 0.8

Correct Answer: B

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Question 20 View Details
A 10 V battery is connected in parallel with a 20 Ω resistor and a 30 Ω resistor. What is the current through the 20 Ω resistor?
Correct A. 0.5 A
B. 0.6 A
C. 0.7 A
D. 0.8 A

Correct Answer: A

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Question 21 View Details
A 1000 Hz sound wave has a speed of 340 m/s. What is the frequency of the sound wave?
A. 150 Hz
Correct B. 200 Hz
C. 250 Hz
D. 300 Hz

Correct Answer: B

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Question 22 View Details
A 20 Ω resistor is connected in series with a 30 Ω resistor and a 40 Ω resistor. What is the total resis\tance?
A. 90 Ω
B. 100 Ω
Correct C. 110 Ω
D. 120 Ω

Correct Answer: C

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Question 23 View Details
A 50 Ω resistor is connected in parallel with a 20 Ω resistor and a 30 Ω resistor. What is the total resis\tance?
Question 24 View Details
A particle of mass 2 kg is moving in a circular orbit of radius 3 m under the influence of a central force. If the angular momentum of the particle is 6 kg m^2/s, what is the magnitude of the 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 25 View Details
A gas is enclosed in a cylinder of volume 0.05 m^3. The gas is heated from 300 K to 400 K. If the initial pressure is 100 kPa, what is the final pressure of the gas?
A. 120 kPa
Correct B. 150 kPa
C. 180 kPa
D. 200 kPa

Correct Answer: B

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