POST UTME AL-HIKMAH UNIVERSITY 2022 Physics | Objective

Are you preparing for POST UTME AL-HIKMAH UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1
A 2.5 m long wire of resis\tance 3.0 Ω is connected in series with a 6.0 V battery. If the wire is stretched to 4.0 m, what is the new resis\tance?
A. 2.0 Ω
B. 3.0 Ω
Correct C. 4.0 Ω
D. 6.0 Ω

Correct Answer: C

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Question 2
A particle of mass 0.5 kg is moving in a circular path of radius 2.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the net force acting on the particle?
A. 10.0 N
Correct B. 20.0 N
C. 30.0 N
D. 40.0 N

Correct Answer: B

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Question 3
A 100 μC charge is moving in a circular path of radius 0.5 m with a cons\tant speed of 2.0 m/s. What is the magnitude of the magnetic field at the center of the circle?
A. 0.1 T
Correct B. 0.2 T
C. 0.3 T
D. 0.4 T

Correct Answer: B

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Question 4
A 2.0 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. 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 5
A 5.0 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V battery. What is the time cons\tant of the circuit?
A. 0.1 s
Correct B. 0.2 s
C. 0.3 s
D. 0.4 s

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 angle between the velocity vector and the radius vector at the ins\tant the particle is at the top of its circular path?
Correct A. π/2
B. π/3
C. π/4
D. π/6

Correct Answer: A

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Question 7
A gas at a pressure of 2 atm and temperature of 300 K is allowed to expand isothermally to a pressure of 1 atm. What is the final volume of the gas?
Correct A. 0.5 m^3
B. 1 m^3
C. 2 m^3
D. 4 m^3

Correct Answer: A

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Question 8
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 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. 2 m/s
Correct B. 4 m/s
C. 6 m/s
D. 8 m/s

Correct Answer: B

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Question 9
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 20 years?
Correct A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq

Correct Answer: A

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Question 10
A 2 kg object is moving in a circular path of radius 4 m with a cons\tant speed of 3 m/s. What is the centripetal acceleration of the object?
A. 0.5 m/s^2
B. 1 m/s^2
Correct C. 2 m/s^2
D. 3 m/s^2

Correct Answer: C

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Question 11
A 50 Hz AC voltage source has a peak value of 100 V. Calculate the rms value of the voltage.
Correct A. 70.71 V
B. 50 V
C. 100 V
D. 141.42 V

Correct Answer: A

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Question 12
A 200 Ω resistor is connected in series with a 100 μF capacitor. If the frequency of the AC source is 50 Hz, calculate the impedance of the circuit.
A. 200 Ω
Correct B. 220 Ω
C. 250 Ω
D. 280 Ω

Correct Answer: B

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Question 13
A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. Calculate the speed of the sound wave.
A. 300 m/s
B. 400 m/s
Correct C. 500 m/s
D. 600 m/s

Correct Answer: C

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Question 14
A 12 V battery is connected in series with a 4 Ω resistor and a 6 Ω resistor. Calculate 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 15
A 100 μF capacitor is connected in parallel with a 200 Ω resistor. If the voltage across the capacitor is 50 V, calculate the current flowing through the resistor.
A. 0.25 A
Correct B. 0.5 A
C. 1 A
D. 2 A

Correct Answer: B

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Question 16
A 50 Hz AC voltage source has a peak value of 100 V. Calculate the power factor of the circuit.
A. 0.5
Correct B. 0.6
C. 0.7
D. 0.8

Correct Answer: B

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Question 17
A 200 Ω resistor is connected in series with a 100 μF capacitor. If the frequency of the AC source is 50 Hz, calculate the reac\tance of the capacitor.
A. 100 Ω
B. 200 Ω
Correct C. 300 Ω
D. 400 Ω

Correct Answer: C

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Question 18
A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. Calculate the speed of the sound wave.
A. 300 m/s
B. 400 m/s
Correct C. 500 m/s
D. 600 m/s

Correct Answer: C

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Question 19
A 12 V battery is connected in series with a 4 Ω resistor and a 6 Ω resistor. Calculate 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 20
A 100 μF capacitor is connected in parallel with a 200 Ω resistor. If the voltage across the capacitor is 50 V, calculate the current flowing through the resistor.
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A

Correct Answer: VIEW ANSWER

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Question 21
A uniform magnetic field of 2.5 T is applied to a coil of 50 turns and radius 0.05 m. If the coil is rotated through an angle of 90° in 0.1 s, calculate the induced emf.
A. 0.25 V
Correct B. 0.5 V
C. 1 V
D. 2 V

Correct Answer: B

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Question 22
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a voltage of 12 V is applied across the circuit, calculate the current through the 10 Ω resistor.
Correct A. 0.6 A
B. 0.8 A
C. 1 A
D. 1.2 A

Correct Answer: A

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Question 23
A capacitor of 100 μF is connected in parallel with a 200 μF capacitor. If a voltage of 10 V is applied across the circuit, calculate the charge on the 100 μF capacitor.
A. 0.001 C
Correct B. 0.002 C
C. 0.003 C
D. 0.004 C

Correct Answer: B

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Question 24
A 100 W bulb is connected to a 220 V power supply. If the bulb is used for 5 hours a day, calculate the energy consumed in a month.
A. 4500 Wh
B. 5000 Wh
Correct C. 5500 Wh
D. 6000 Wh

Correct Answer: C

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Question 25
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a current of 2 A is flowing through the circuit, calculate the voltage across the 20 Ω resistor.
A. 20 V
Correct B. 40 V
C. 60 V
D. 80 V

Correct Answer: B

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