POST UTME LAUTECH 2017 Physics | Objective

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Question 1 View Details
A uniform magnetic field of strength 2.0 T is applied to a coil of wire with 50 turns. If the coil has a radius of 0.05 m and a resis\tance of 5.0 Ω, what is the induced emf when the coil is rotated at a rate of 10 rad/s?
A. 0.5 V
B. 1.0 V
Correct C. 2.0 V
D. 5.0 V

Correct Answer: C

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Question 2 View Details
A 10 μF capacitor is connected in series with a 50 Ω resistor and a 20 V battery. What is the time cons\tant of the circuit?
A. 0.1 s
Correct B. 0.5 s
C. 1.0 s
D. 2.0 s

Correct Answer: B

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Question 3 View Details
A block of mass 2.0 kg is attached to a 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, what is the maximum speed of the block?
A. 0.1 m/s
B. 0.5 m/s
Correct C. 1.0 m/s
D. 2.0 m/s

Correct Answer: C

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Question 4 View Details
A 5.0 kg object is moving in a circular path with a radius of 2.0 m. If the object has a speed of 4.0 m/s, what is the centripetal force acting on the object?
A. 10 N
B. 20 N
Correct C. 30 N
D. 40 N

Correct Answer: C

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Question 5 View Details
A 10 μF capacitor is connected in parallel with a 100 μF capacitor. What is the equivalent capaci\tance of the circuit?
A. 10 μF
B. 20 μF
Correct C. 50 μF
D. 100 μF

Correct Answer: C

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Question 6 View Details
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 subject to a centripetal force of 12 N, what is the magnitude of the force?
A. 8 N
Correct B. 12 N
C. 16 N
D. 20 N

Correct Answer: B

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Question 7 View Details
A 1000 Hz sound wave is traveling through a medium with a speed of 343 m/s. If the wavelength of the sound wave is 0.34 m, what is the frequency of the sound wave?
A. 2000 Hz
B. 2500 Hz
Correct C. 3000 Hz
D. 4000 Hz

Correct Answer: C

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Question 8 View Details
A 12 V battery is connected to a 4 Ω resistor in series with a 6 Ω resistor. What is the current flowing through the circuit?
A. 1 A
B. 2 A
Correct C. 3 A
D. 4 A

Correct Answer: C

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Question 9 View Details
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 10 View Details
A 100 g block of ice at 0°C is placed in a 200 g block of water at 80°C. What is the final temperature of the mixture?
A. 20°C
B. 30°C
Correct C. 40°C
D. 50°C

Correct Answer: C

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Question 11 View Details
A 5 kg block is attached to a horizontal 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 12 View Details
A 10 kg block is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 2 m, what is the magnitude of the force acting on the block?
A. 10 N
B. 20 N
Correct C. 30 N
D. 40 N

Correct Answer: C

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Question 13 View Details
A 20 kg block is moving with a speed of 10 m/s. If the block is subject to a force of 50 N, what is the acceleration of the block?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2

Correct Answer: VIEW ANSWER

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Question 14 View Details
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 15 View Details
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 16 View Details
A body of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If it experiences a force of 20 N, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
Correct D. 8 m/s^2

Correct Answer: D

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Question 17 View Details
A car is traveling at a speed of 60 km/h. If the driver applies the brakes and the car comes to rest in 5 seconds, what is the magnitude of the acceleration of the car?
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
Correct D. 40 m/s^2

Correct Answer: D

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Question 18 View Details
A particle is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 2 m, what is the magnitude of the centripetal force acting on the particle?
A. 5 N
B. 10 N
Correct C. 15 N
D. 20 N

Correct Answer: C

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Question 19 View Details
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
Correct A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.2 A

Correct Answer: A

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Question 20 View Details
A particle of mass 2 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° to the horizontal. Find the time of flight.
A. 2 s
Correct B. 3 s
C. 4 s
D. 5 s

Correct Answer: B

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Question 21 View Details
A \sinusoidal voltage of 20 V is applied across a 10 Ω resistor. If the frequency of the voltage is 50 Hz, what is the rms value of the current flowing through the resistor?
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 View Details
A heat engine operates between the temperatures 300 K and 600 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?
A. 100 J
B. 200 J
Correct C. 300 J
D. 400 J

Correct Answer: C

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Question 23 View Details
A magnetic field of 0.5 T is applied to a coil of 100 turns. If the area of the coil is 0.01 m^2, what is the magnetic flux through the coil?
A. 0.005 Wb
Correct B. 0.01 Wb
C. 0.015 Wb
D. 0.02 Wb

Correct Answer: B

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Question 24 View Details
A 10 mH inductor and a 5 μF capacitor are connected in series across a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.
A. 10 Ω
B. 20 Ω
Correct C. 30 Ω
D. 40 Ω

Correct Answer: C

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Question 25 View Details
A body cools from 80°C to 60°C in 5 minutes. If the temperature of the surroundings is 20°C, calculate the time taken for the body to cool from 60°C to 40°C.
A. 10 minutes
Correct B. 15 minutes
C. 20 minutes
D. 25 minutes

Correct Answer: B

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