POST UTME AL-HIKMAH UNIVERSITY 2023 Physics | Objective

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Question 1
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following laws describes the relationship between the pressure and volume of the gas?
A. Charles' Law
B. Gay-Lussac's Law
Correct C. Boyle's Law
D. Avogadro's Law

Correct Answer: C

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Question 2
A particle is projected from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the time of flight of the particle?
A. 2.5 s
Correct B. 3.0 s
C. 3.5 s
D. 4.0 s

Correct Answer: B

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Question 3
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?
A. 100 m/s
Correct B. 200 m/s
C. 400 m/s
D. 500 m/s

Correct Answer: B

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Question 4
A heat engine operates between two temperatures of 500 K and 300 K. What is the efficiency of the engine?
A. 0.25
Correct B. 0.33
C. 0.40
D. 0.50

Correct Answer: B

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Question 5
A force of 10 N acts on an object, cau\sing it to accelerate at 2 m/s^2. What is the mass of the object?
A. 5 kg
Correct B. 10 kg
C. 20 kg
D. 50 kg

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 subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
Correct B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2

Correct Answer: B

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Question 7
A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. If the capaci\tance of the capacitor is 8 x 10^-6 F, what is the charge stored on the capacitor when a potential difference of 12 V is applied across it?
A. 96 x 10^-6 C
Correct B. 192 x 10^-6 C
C. 288 x 10^-6 C
D. 384 x 10^-6 C

Correct Answer: B

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Question 8
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?
A. 15 m
B. 20 m
Correct C. 25 m
D. 30 m

Correct Answer: C

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Question 9
A gas is contained in a cylinder of volume 0.05 m^3 at a pressure of 1.5 x 10^5 Pa. If the temperature of the gas is increased by 20 K, what is the new pressure of the gas?
A. 1.8 x 10^5 Pa
B. 2.1 x 10^5 Pa
Correct C. 2.4 x 10^5 Pa
D. 2.7 x 10^5 Pa

Correct Answer: C

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Question 10
A wave with a frequency of 50 Hz and a wavelength of 0.1 m is traveling through a medium. If the speed of the wave is 300 m/s, what is the amplitude of the wave?
A. 0.01 m
Correct B. 0.02 m
C. 0.03 m
D. 0.04 m

Correct Answer: B

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Question 11
A gas is enclosed in a container at a cons\tant temperature. The volume of the gas is doubled. What happens to the pressure of the gas?
A. The pressure of the gas remains the same.
Correct B. The pressure of the gas increases by a factor of 2.
C. The pressure of the gas decreases by a factor of 2.
D. The pressure of the gas increases by a factor of 4.

Correct Answer: B

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Question 12
A beam 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. 15°
B. 20°
C. 25°
D. 30°

Correct Answer: A

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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. 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 14
A heat engine operates between 500 K and 300 K. What is the efficiency of the engine?
A. 0.2
B. 0.3
Correct C. 0.4
D. 0.5

Correct Answer: C

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Question 15
A lens of focal length 20 cm forms an image of a dis\tant object. What is the magnification of the lens?
Correct A. 1
B. 2
C. 3
D. 4

Correct Answer: A

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Question 16
A gas expands from 2 L to 5 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?
A. 10 J
B. 20 J
Correct C. 30 J
D. 40 J

Correct Answer: C

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Question 17
A beam of light passes from air into a medium of re\fractive index 1.8. If the angle of incidence is 40°, what is the angle of re\fraction?
A. 25°
B. 30°
Correct C. 35°
D. 40°

Correct Answer: C

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Question 18
A heat engine operates between 400 K and 200 K. What is the efficiency of the engine?
A. 0.3
B. 0.4
C. 0.5
D. 0.6

Correct Answer: VIEW ANSWER

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Question 19
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. 10 m/s^2
Correct B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2

Correct Answer: B

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Question 20
A light ray passes from air into a glass slab of re\fractive index 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 21
A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the work done in stretching the spring?
A. 100 J
Correct B. 200 J
C. 300 J
D. 400 J

Correct Answer: B

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Question 22
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 23
A simple harmonic motion has a period of 2 s and an amplitude of 3 m. What is the angular frequency of the motion?
A. 1.5 rad/s
Correct B. 2.5 rad/s
C. 3.5 rad/s
D. 4.5 rad/s

Correct Answer: B

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Question 24
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's speed is 4 m/s, what is the magnitude of the centripetal acceleration?
A. 4 m/s^2
B. 12 m/s^2
Correct C. 16 m/s^2
D. 20 m/s^2

Correct Answer: C

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Question 25
A gas occupies a volume of 2 L at a pressure of 1 atm. If the temperature is increased by 20°C, what is the new volume of the gas?
A. 2.5 L
B. 3 L
Correct C. 3.5 L
D. 4 L

Correct Answer: C

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