Practice post utme uniosun physics 2019 Past Questions

Question 1

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. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 2

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the current flowing through the circuit?

A. 0.25 A

Correct B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: B

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Question 3

A simple harmonic motion has a maximum displacement of 5 m and a period of 2 s. What is the angular frequency of the motion?

A. 1.57 rad/s

Correct B. 3.14 rad/s

C. 6.28 rad/s

D. 9.42 rad/s

Correct Answer: B

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Question 4

A quantum particle has a wave function given by \Psi(x) = Ae^{-\alpha x^2}. What is the probability of finding the particle between x = 0 and x = 1?

Correct A. 0.5

B. 0.6

C. 0.7

D. 0.8

Correct Answer: A

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Question 5

A 100 g mass is attached to a spring with a spring cons\tant of 10 N/m. What is the frequency of the simple harmonic motion?

A. 0.5 Hz

B. 1 Hz

Correct C. 2 Hz

D. 5 Hz

Correct Answer: C

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Question 6

A 2.5 m long wire of resis\tance 3.5 Ω is connected in series with a 9 V battery. If the wire is stretched to 3.2 m, what is the new resis\tance?

A. 2.5 Ω

B. 3.2 Ω

Correct C. 4.0 Ω

D. 5.0 Ω

Correct Answer: C

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Question 7

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 20 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is its angular frequency?

A. 0.5 rad/s

Correct B. 1.0 rad/s

C. 1.5 rad/s

D. 2.0 rad/s

Correct Answer: B

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Question 8

A 100 μF capacitor is connected in series with a 10 kΩ resistor and a 9 V battery. If the capacitor is initially uncharged, what is the time cons\tant of the circuit?

A. 1 ms

Correct B. 10 ms

C. 100 ms

D. 1 s

Correct Answer: B

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Question 9

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, 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

A 5 kg block is attached to a horizontal, massless 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 its maximum acceleration?

A. 5 m/s^2

Correct B. 10 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 11

A beam of light of wavelength 500 nm is incident on a glass plate of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 12

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 13

A wave of frequency 100 Hz and amplitude 2 m is traveling through a medium with a speed of 300 m/s. Calculate the wavelength of the wave.

A. 1 m

Correct B. 2 m

C. 3 m

D. 4 m

Correct Answer: B

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Question 14

A body of mass 5 kg is moving with a velocity of 10 m/s. Calculate the kinetic energy of the body.

A. 250 J

Correct B. 500 J

C. 750 J

D. 1000 J

Correct Answer: B

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Question 15

A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the object is moved 1 m closer to the lens, calculate the new image dis\tance.

A. 1.5 m

B. 2 m

Correct C. 2.5 m

D. 3 m

Correct Answer: C

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Question 16

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. 4 m/s^2

B. 8 m/s^2

Correct C. 16 m/s^2

D. 32 m/s^2

Correct Answer: C

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Question 17

A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If a dielectric material with a dielectric cons\tant of 3 is inserted between the plates, what is the new capaci\tance?

A. 2 μF

B. 4 μF

Correct C. 6 μF

D. 8 μF

Correct Answer: C

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Question 18

A current of 5 A flows through a resistor of 2 Ω. If the voltage across the resistor is 20 V, what is the power consumed by the resistor?

A. 10 W

B. 20 W

C. 30 W

Correct D. 50 W

Correct Answer: D

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Question 19

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?

A. 50 m/s

B. 75 m/s

Correct C. 100 m/s

D. 150 m/s

Correct Answer: C

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Question 20

A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m and radius 0.1 m. If the current in the wire is 5 A, what is the force exerted on the wire?

A. 2 N

B. 3 N

Correct C. 5 N

D. 7 N

Correct Answer: C

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Question 21

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?

Correct A. 5.33 m/s^2

B. 6.67 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Correct Answer: A

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Question 22

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. in the positive x-direction

B. in the negative x-direction

C. perp\endicular to the wave

D. in the positive y-direction

Correct Answer: A

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Question 23

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

Correct A. 0.894 m/s

B. 1.22 m/s

C. 1.67 m/s

D. 2.24 m/s

Correct Answer: A

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Question 24

A gas is confined to a cylinder of volume 0.05 m^3. If the gas is heated from 300 K to 400 K, what is the change in the number of moles of the gas?

Correct A. 1.33

B. 1.67

C. 2

D. 2.5

Correct Answer: A

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Question 25

A beam of light is incident on a surface at an angle of 60°. If the reflected light is at an angle of 30°, what is the angle of incidence?

A. 30°

B. 45°

Correct C. 60°

D. 90°

Correct Answer: C

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