POST UTME FUTA 2024 Physics | Objective

Are you preparing for POST UTME FUTA exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-10 F, what is the charge on the plates?
A. 0.16 C
B. 0.32 C
Correct C. 0.64 C
D. 1.28 C

Correct Answer: C

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Question 2
A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 2 m/s. What is the magnitude of the centripetal acceleration?
A. 0.1 m/s^2
B. 0.2 m/s^2
Correct C. 0.4 m/s^2
D. 0.8 m/s^2

Correct Answer: C

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Question 3
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 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
B. 1.0 m/s
Correct C. 1.5 m/s
D. 2.0 m/s

Correct Answer: C

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Question 4
A 10 V battery is connected in series with a 5 ohm resistor and a 10 ohm resistor. What is the current flowing through the 10 ohm resistor?
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 5
A 2 kg block is moving in a circular path of radius 0.5 m with a speed of 4 m/s. What is the magnitude of the centripetal force?
A. 10 N
B. 20 N
Correct C. 30 N
D. 40 N

Correct Answer: C

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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 10 N, what is the magnitude of the acceleration of the particle?
A. 12 m/s^2
B. 8 m/s^2
Correct C. 16 m/s^2
D. 20 m/s^2

Correct Answer: C

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Question 7
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. If the switch is closed at time t = 0, what is the current in the circuit at time t = 5 s?
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 8
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 9
A 100 Ω resistor is connected in parallel with a 200 Ω resistor. If a 10 V battery is connected across the combination, what is the total current drawn from the battery?
A. 0.5 A
Correct B. 1 A
C. 1.5 A
D. 2 A

Correct Answer: B

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Question 10
A 5 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum velocity 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 11
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 force exerted on the particle?
A. 8 N
B. 10 N
Correct C. 12 N
D. 16 N

Correct Answer: C

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Question 12
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 13
A 10 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 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 14
A coil of wire with 100 turns is placed in a magnetic field of strength 0.5 T. If the current in the coil is 2 A, what is the magnitude of the induced emf?
A. 10 V
B. 20 V
Correct C. 30 V
D. 40 V

Correct Answer: C

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Question 15
A particle of mass 5 kg is moving in a circular path of radius 4 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal acceleration of 1.5 m/s^2, what is the force exerted on the particle?
A. 7.5 N
B. 10 N
Correct C. 12.5 N
D. 15 N

Correct Answer: C

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Question 16
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's velocity is 4 m/s, what is the magnitude of the centripetal acceleration?
A. 10 m/s^2
B. 12 m/s^2
Correct C. 15 m/s^2
D. 20 m/s^2

Correct Answer: C

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Question 17
A capacitor is connected in series with a 10 kΩ resistor and a 20 μF capacitor. If the voltage across the resistor is 12 V, what is the current through the circuit?
A. 0.5 mA
Correct B. 1 mA
C. 2 mA
D. 5 mA

Correct Answer: B

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

Correct Answer: D

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Question 19
A block of mass 5 kg is moving with a velocity of 2 m/s. If the block is subjected to a force of 10 N, what is the acceleration of the block?
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 20
A capacitor is connected in parallel with a 20 μF capacitor and a 10 kΩ resistor. If the voltage across the resistor is 12 V, what is the charge on the capacitor?
A. 0.02 C
B. 0.04 C
C. 0.06 C
Correct D. 0.08 C

Correct Answer: D

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Question 21
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's angular velocity is 4 rad/s, what is its linear velocity?
A. 12 m/s
Correct B. 16 m/s
C. 20 m/s
D. 24 m/s

Correct Answer: B

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Question 22
A 100 V battery is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the total resis\tance in the circuit?
A. 40 Ω
B. 50 Ω
Correct C. 60 Ω
D. 70 Ω

Correct Answer: C

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Question 23
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?
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 24
A body is moving in simple harmonic motion with an amplitude of 5 m and a frequency of 2 Hz. What is its maximum acceleration?
A. 20 m/s^2
B. 40 m/s^2
Correct C. 60 m/s^2
D. 80 m/s^2

Correct Answer: C

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Question 25
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in parallel. What is the total resis\tance?
A. 5 Ω
B. 10 Ω
Correct C. 15 Ω
D. 20 Ω

Correct Answer: C

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