POST UTME AL-HIKMAH UNIVERSITY 2018 Physics | Objective

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Question 1 View Details
A 2.5 m long wire has a resis\tance of 3.2 Ω. If the wire is stretched to 4 m, what is its new resis\tance?
A. 2.5 Ω
B. 3.2 Ω
C. 4 Ω
Correct D. 6.4 Ω

Correct Answer: D

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Question 2 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. What is its angular momentum?
A. 12 kg m^2/s
B. 24 kg m^2/s
Correct C. 48 kg m^2/s
D. 96 kg m^2/s

Correct Answer: C

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Question 3 View Details
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.25 A
B. 0.5 A
C. 1 A
Correct D. 2 A

Correct Answer: D

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Question 4 View Details
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is its speed?
A. 10 m/s
B. 20 m/s
Correct C. 50 m/s
D. 100 m/s

Correct Answer: C

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Question 5 View Details
A 5 kg block is moving down a 30° inclined plane with a speed of 2 m/s. What is its acceleration?
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 6 View Details
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 0.20 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
A. 1.0 m/s
Correct B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s

Correct Answer: B

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Question 7 View Details
A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capaci\tance of the capacitor is 5.0 x 10^-10 F. Calculate the charge stored on the capacitor when a potential difference of 10 V is applied across it.
A. 2.0 x 10^-9 C
Correct B. 5.0 x 10^-9 C
C. 8.0 x 10^-9 C
D. 1.0 x 10^-8 C

Correct Answer: B

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Question 8 View Details
A sound wave with a frequency of 200 Hz and a wavelength of 0.50 m is traveling through a medium. Calculate 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 9 View Details
A 5.0 kg block is moving with a speed of 2.0 m/s on a horizontal surface. If the block is brought to rest in 2.0 s, calculate the force applied to the block.
A. 10 N
Correct B. 20 N
C. 30 N
D. 40 N

Correct Answer: B

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Question 10 View Details
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 0.20 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the period of the block.
A. 1.0 s
Correct B. 2.0 s
C. 3.0 s
D. 4.0 s

Correct Answer: B

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Question 11 View Details
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 µF, calculate the charge stored when the potential difference between the plates is 100 V.
Correct A. 0.32 C
B. 0.64 C
C. 1.28 C
D. 2.56 C

Correct Answer: A

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Question 12 View Details
A radioactive sample decays from 120 g to 90 g in 5 years. Calculate the half-life of the sample.
A. 10 years
Correct B. 15 years
C. 20 years
D. 25 years

Correct Answer: B

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Question 13 View Details
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. Calculate the speed of the sound wave.
A. 100 m/s
B. 200 m/s
Correct C. 400 m/s
D. 800 m/s

Correct Answer: C

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Question 14 View Details
A body is in equilibrium under the action of two forces, one of magnitude 5 N and the other of magnitude 10 N. Calculate the angle between the forces.
A. 30°
Correct B. 45°
C. 60°
D. 90°

Correct Answer: B

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Question 15 View Details
A heat engine operates between the temperatures 300 K and 600 K. Calculate the efficiency of the engine.
A. 0.25
Correct B. 0.33
C. 0.5
D. 0.67

Correct Answer: B

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Question 16 View Details
A charged particle moves through a region with a uniform magnetic field. If the particle's velocity is perp\endicular to the magnetic field, what is the direction of the force exerted on the particle?
A. Towards the north
B. Towards the south
Correct C. Perp\endicular to the magnetic field
D. In the opposite direction of the magnetic field

Correct Answer: C

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Question 17 View Details
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V battery. What is the time cons\tant of the circuit?
A. 2.4 s
Correct B. 4.8 s
C. 6.0 s
D. 8.0 s

Correct Answer: B

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Question 18 View Details
A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. What is the speed of the sound wave?
A. 300 m/s
B. 360 m/s
Correct C. 420 m/s
D. 480 m/s

Correct Answer: C

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Question 19 View Details
A 50 Hz AC voltage is applied across a 20 Ω resistor. What is the peak value of the current?
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 20 View Details
A point charge of +2 μC is placed at the origin of a coordinate system. What is the electric potential at a point 2 m away from the charge?
A. 1.0 V
Correct B. 2.0 V
C. 3.0 V
D. 4.0 V

Correct Answer: B

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Question 21 View Details
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, what is the dielectric cons\tant of the material between the plates?
A. 2.5
Correct B. 3.0
C. 3.5
D. 4.0

Correct Answer: B

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Question 22 View Details
A ray of light 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°
B. 25°
Correct C. 30°
D. 35°

Correct Answer: C

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Question 23 View Details
A 2 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position, what is the force exerted by the spring on the block?
A. 10 N
B. 20 N
Correct C. 30 N
D. 40 N

Correct Answer: C

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Question 24 View Details
A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 10 V battery is connected across the circuit, what is the time cons\tant of the circuit?
A. 0.5 s
Correct B. 1.0 s
C. 2.0 s
D. 5.0 s

Correct Answer: B

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Question 25 View Details
A 10 μC charge is placed at the center of a circular loop of radius 0.1 m. If the loop has a resis\tance of 10 Ω, what is the current induced in the loop?
A. 0.1 A
B. 0.2 A
Correct C. 0.5 A
D. 1.0 A

Correct Answer: C

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