POST UTME AAUA 2023 Physics | Objective

Are you preparing for POST UTME AAUA exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 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 speed of 4 m/s. If the particle is subject to a centripetal force of 12 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 2
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^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied?
Correct A. 10^-5 C
B. 10^-6 C
C. 10^-7 C
D. 10^-8 C

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 30° above the horizontal. If the air resis\tance is negligible, 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 circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 5 Ω resistor?
A. 0.5 A
B. 1 A
Correct C. 1.5 A
D. 2 A

Correct Answer: C

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Question 5
A wave function is given by ψ(x) = Ae^\( -αx^2 \). If the wave function is normalized, what is the value of A?
A. 1
Correct B. \sqrt{\frac{1}{\sqrt{\pi} \alpha}}
C. \sqrt{\pi} \alpha
D. \frac{1}{\sqrt{\pi} \alpha}

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 force?
A. 10 N
Correct B. 12 N
C. 15 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. 1.5 m/s
B. 2.0 m/s
Correct C. 2.5 m/s
D. 3.0 m/s

Correct Answer: C

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Question 8
A radioactive sample has a half-life of 2 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 6 years?
A. 250 Bq
B. 375 Bq
C. 500 Bq
Correct D. 625 Bq

Correct Answer: D

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Question 9
A 2 kg block is moving in a straight line with a velocity of 4 m/s. If a force of 6 N is applied to the block for 2 seconds, what is the final velocity 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 10
A 3 kg block is attached to a horizontal spring with a force cons\tant of 300 N/m. If the block is displaced by 0.3 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 2.5 m/s
B. 3.0 m/s
C. 3.5 m/s
Correct D. 4.0 m/s

Correct Answer: D

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Question 11
A light ray passes through a rec\tangular glass slab of re\fractive index 1.5 and thickness 5 cm. If the angle of incidence is 30°, what is the angle of re\fraction?
Correct A. 20°
B. 30°
C. 40°
D. 50°

Correct Answer: A

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Question 12
A body of mass 2 kg is moving with a velocity of 5 m/s. If the body is subjected to a force of 10 N, what is the acceleration of the body?
A. 0.5 m/s^2
B. 1 m/s^2
Correct C. 2 m/s^2
D. 5 m/s^2

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 parallel. What is the total resis\tance of the circuit?
A. 2 Ω
B. 4 Ω
C. 6 Ω
Correct D. 8 Ω

Correct Answer: D

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Question 14
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
Correct C. 30 m/s
D. 40 m/s

Correct Answer: C

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Question 15
A lens has a focal length of 20 cm. If an object is placed 30 cm in front of the lens, what is the image dis\tance?
A. 10 cm
Correct B. 20 cm
C. 30 cm
D. 40 cm

Correct Answer: B

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Question 16
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 nF, what is the value of the dielectric cons\tant?
A. 2.5
Correct B. 3.0
C. 3.5
D. 4.0

Correct Answer: B

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Question 17
A block of mass 2 kg is attached to a horizontal spring with spring cons\tant 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.5 m/s
Correct B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s

Correct Answer: B

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Question 18
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. What is the total current drawn from the battery?
A. 0.5 A
Correct B. 1.0 A
C. 1.5 A
D. 2.0 A

Correct Answer: B

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Question 19
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. 300 m/s
D. 400 m/s

Correct Answer: B

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Question 20
A particle moves in a circular path with a radius of 0.2 m and a speed of 2 m/s. What is the centripetal acceleration of the particle?
A. 0.1 m/s^2
Correct B. 0.2 m/s^2
C. 0.3 m/s^2
D. 0.4 m/s^2

Correct Answer: B

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Question 21
A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 10 μF capacitor. If the peak voltage of the source is 20 V, what is the peak current in the circuit?
A. 0.2 A
Correct B. 0.4 A
C. 0.6 A
D. 0.8 A

Correct Answer: B

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Question 22
A container of volume 2 L contains 1 mole of an ideal gas at 300 K. If the gas is heated to 600 K, what is the final pressure?
A. 2 atm
B. 4 atm
Correct C. 6 atm
D. 8 atm

Correct Answer: C

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Question 23
A 2 kg block is placed on a frictionless surface. If a horizontal force of 10 N is applied to the block, what is its acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
Correct D. 5 m/s^2

Correct Answer: D

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Question 24
A particle moves in a circular path with a radius of 2 m. If it completes one revolution in 4 s, what is its angular velocity?
A. 0.5 rad/s
B. 1 rad/s
C. 2 rad/s
Correct D. 4 rad/s

Correct Answer: D

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Question 25
A 5 μC charge is placed at the center of a circular loop of radius 10 cm. If the loop has a resis\tance of 10 Ω, what is the current induced in the loop?
A. 0.01 A
B. 0.02 A
Correct C. 0.03 A
D. 0.04 A

Correct Answer: C

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