POST UTME WELLSPRING UNIVERSITY 2020 Physics | Objective

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Question 1
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
Correct A. \( 2\sqrt{10} \) m/s
B. \( 4\sqrt{10} \) m/s
C. \( 6\sqrt{10} \) m/s
D. \( 8\sqrt{10} \) m/s

Correct Answer: A

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Question 2
A parallel plate capacitor consists of two plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capacitor is connected to a battery of emf 12 V. Calculate the capaci\tance of the capacitor.
A. ( 0.01 ) F
Correct B. ( 0.02 ) F
C. ( 0.03 ) F
D. ( 0.04 ) F

Correct Answer: B

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Question 3
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. Calculate the magnitude of the centripetal force acting on the particle.
A. ( 10 ) N
B. ( 20 ) N
Correct C. ( 30 ) N
D. ( 40 ) N

Correct Answer: C

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Question 4
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. A voltage of 12 V is applied across the circuit. Calculate the current flowing through the circuit.
A. ( 0.4 ) A
B. ( 0.6 ) A
Correct C. ( 0.8 ) A
D. ( 1 ) A

Correct Answer: C

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Question 5
A wave of frequency 50 Hz and wavelength 10 m is propagating through a medium. Calculate the speed of the 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 6
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge stored when the potential difference is 100 V?
A. 1.25 x 10^-7 C
Correct B. 2.5 x 10^-7 C
C. 5.0 x 10^-7 C
D. 1.0 x 10^-6 C

Correct Answer: B

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Question 7
A gas expands from 1.5 L to 3.0 L against a cons\tant external pressure of 2.0 atm. If the initial temperature is 300 K, what is the final temperature?
A. 400 K
B. 500 K
Correct C. 600 K
D. 700 K

Correct Answer: C

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Question 8
A body of mass 5.0 kg is moving with a velocity of 20 m/s. If it is subjected to a force of 10 N, what is the acceleration?
A. 0.5 m/s^2
B. 1.0 m/s^2
C. 2.0 m/s^2
Correct D. 5.0 m/s^2

Correct Answer: D

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Question 9
A capacitor of capaci\tance 10^-6 F is charged to a potential difference of 100 V. If it is connected to a resistor of resis\tance 1000 ohms, what is the time cons\tant?
A. 0.01 s
B. 0.1 s
Correct C. 1.0 s
D. 10 s

Correct Answer: C

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Question 10
A heat engine operates between the temperatures 300 K and 600 K. If it has an efficiency of 30%, what is the maximum possible work output?
A. 100 J
B. 200 J
Correct C. 300 J
D. 400 J

Correct Answer: C

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Question 11
A uniform magnetic field of strength 2 T is applied to a rec\tangular coil of dimensions 0.1 m x 0.2 m. If the coil is rotated by 90 degrees about an axis perp\endicular to the plane of the coil, what is the change in magnetic flux through the coil?
A. 0.02 Wb
Correct B. 0.04 Wb
C. 0.06 Wb
D. 0.08 Wb

Correct Answer: B

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Question 12
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 4 Ω resistor?
Correct A. 1 A
B. 2 A
C. 3 A
D. 4 A

Correct Answer: A

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Question 13
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
Correct A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq

Correct Answer: A

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Question 14
A 100 g block of copper is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, what is the energy transferred to the block?
A. 38.5 J
B. 76.9 J
Correct C. 115.4 J
D. 153.9 J

Correct Answer: C

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Question 15
A 2 kg block is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?
A. 2 J
B. 4 J
Correct C. 6 J
D. 8 J

Correct Answer: C

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Question 16
A gas is enclosed in a container with a movable piston. The gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?
A. 1:1
B. 1:2
Correct C. 2:1
D. 3:1

Correct Answer: C

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Question 17
A magnetic field is produced by a current-carrying wire. If the current is doubled, what happens to the magnetic field?
A. Increases by a factor of 2
Correct B. Increases by a factor of 4
C. Increases by a factor of 8
D. Remains the same

Correct Answer: B

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Question 18
A capacitor is connected to a power source. If the frequency of the power source is doubled, what happens to the current through the capacitor?
A. Increases by a factor of 2
Correct B. Increases by a factor of 4
C. Increases by a factor of 8
D. Remains the same

Correct Answer: B

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Question 19
A wave is traveling through a medium. If the frequency of the wave is doubled, what happens to the wavelength?
A. Increases by a factor of 2
B. Increases by a factor of 4
C. Increases by a factor of 8
Correct D. Remains the same

Correct Answer: D

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Question 20
A sound wave is traveling through a medium. If the temperature of the medium is increased, what happens to the speed of the sound wave?
A. Increases by a factor of 2
B. Increases by a factor of 4
Correct C. Increases by a factor of 8
D. Remains the same

Correct Answer: C

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Question 21
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^-6 F, what is the charge stored when the potential difference between the plates is 10 V?
A. 4.0 x 10^-5 C
Correct B. 8.0 x 10^-5 C
C. 1.6 x 10^-4 C
D. 3.2 x 10^-4 C

Correct Answer: B

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Question 22
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. 18°
Correct B. 20°
C. 22°
D. 25°

Correct Answer: B

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Question 23
A 100 Ω resistor is connected in series with a 50 Ω resistor and a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 50 Ω resistor?
A. 0.2 A
B. 0.3 A
Correct C. 0.4 A
D. 0.5 A

Correct Answer: C

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Question 24
A 2 kg block is moving with a velocity of 4 m/s on a frictionless surface. If a force of 10 N is applied to the block, what is its acceleration?
A. 2 m/s^2
Correct B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

Correct Answer: B

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Question 25
A 50 kg person is s\tanding on a scale that reads 500 N. If the person is then placed on a spring scale, what is the reading on the spring scale?
A. 400 N
Correct B. 500 N
C. 600 N
D. 700 N

Correct Answer: B

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