Practice post utme unn physics 2018 Past Questions

Question 1

A gas is enclosed in a container of volume 2.5 liters at a temperature of 300 K. If the temperature is increased to 400 K, what is the new volume of the gas, assuming the gas obeys Charles' Law?

A. 3.125 liters

Correct B. 4.0 liters

C. 5.0 liters

D. 6.25 liters

Correct Answer: B

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Question 2

A 100 V AC source is connected to a circuit containing a 50 Ω resistor and a 20 mH inductor in series. What is the impedance of the circuit?

A. 50.6 Ω

B. 51.2 Ω

Correct C. 52.0 Ω

D. 53.0 Ω

Correct Answer: C

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Question 3

A particle is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, what is the magnitude of the acceleration of the particle?

A. 2.5 m/s^2

Correct B. 5.0 m/s^2

C. 7.5 m/s^2

D. 10.0 m/s^2

Correct Answer: B

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Question 4

A force of 10 N is applied to an object, cau\sing it to accelerate at a rate of 2 m/s^2. What is the mass of the object?

A. 2.5 kg

Correct B. 5.0 kg

C. 7.5 kg

D. 10.0 kg

Correct Answer: B

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Question 5

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 4.0 m

B. 5.0 m

Correct C. 6.0 m

D. 7.0 m

Correct Answer: C

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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 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 7

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?

Correct A. 0.25 A

B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: A

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Question 8

A wave of frequency 100 Hz and amplitude 2 m is traveling through a medium with a speed of 300 m/s. If the wave is reflected from a fixed \end, what is the magnitude of the displacement of the wave at the fixed \end?

Correct A. 0 m

B. 1 m

C. 2 m

D. 3 m

Correct Answer: A

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Question 9

A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 60° above the horizontal. If the air resis\tance is neglected, what is the maximum height reached by the projectile?

A. 25 m

Correct B. 50 m

C. 75 m

D. 100 m

Correct Answer: B

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Question 10

A current of 5 A is flowing through a wire of resis\tance 10 Ω. If the wire is connected to a battery of emf 20 V, what is the power consumed by the wire?

A. 50 W

B. 100 W

Correct C. 150 W

D. 200 W

Correct Answer: C

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Question 11

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. 6 m/s^2

Correct B. 12 m/s^2

C. 24 m/s^2

D. 48 m/s^2

Correct Answer: B

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Question 12

A 10 μC charge is placed at the center of a circular loop of radius 0.2 m. If the loop has a resis\tance of 5 Ω, what is the magnitude of the current induced in the loop?

A. 0.02 A

B. 0.04 A

Correct C. 0.06 A

D. 0.08 A

Correct Answer: C

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Question 13

A body of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If it experiences a cons\tant acceleration of 2 m/s^2, what is the magnitude of the force acting on the body after 5 seconds?

Correct A. 10 N

B. 20 N

C. 30 N

D. 40 N

Correct Answer: A

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Question 14

A 100 μF capacitor is connected in series with a 50 Ω resistor. If a 10 V potential difference is applied across the circuit, what is the magnitude of the current flowing through the circuit?

A. 0.1 A

Correct B. 0.2 A

C. 0.3 A

D. 0.4 A

Correct Answer: B

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Question 15

A body of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the body is subjected to a centripetal force of 16 N, what is the magnitude of the acceleration of the body?

A. 4 m/s^2

Correct B. 8 m/s^2

C. 12 m/s^2

D. 16 m/s^2

Correct Answer: B

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Question 16

A 2.5 kg block of ice at 0°C is placed in a container of water at 80°C. Assuming no heat loss to the surroundings, calculate the mass of water that will freeze in 10 minutes.

A. 0.1 kg

Correct B. 0.2 kg

C. 0.3 kg

D. 0.4 kg

Correct Answer: B

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Question 17

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Calculate the magnitude of the 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 18

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm. If the pressure is increased to 3.5 atm, calculate the new volume of the gas.

A. 1.5 L

B. 2.5 L

C. 3.5 L

Correct D. 4.5 L

Correct Answer: D

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Question 19

A capacitor of capaci\tance 10 μF is connected to a battery of voltage 12 V. Calculate the energy stored in the capacitor.

A. 0.1 J

B. 0.2 J

Correct C. 0.3 J

D. 0.4 J

Correct Answer: C

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Question 20

A coil of wire of resis\tance 5 Ω is connected to a battery of voltage 9 V. Calculate the current flowing through the coil.

A. 1.5 A

B. 2.5 A

Correct C. 3.5 A

D. 4.5 A

Correct Answer: C

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Question 21

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. If the acceleration due to gravity is 9.8 m/s², calculate the time taken for the particle to reach its maximum height.

Correct A. 3 s

B. 4 s

C. 5 s

D. 6 s

Correct Answer: A

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Question 22

A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 23

A radioactive sample decays at a rate of 0.05% per hour. If the initial activity is 1000 Bq, calculate the activity after 5 hours.

A. 900 Bq

B. 950 Bq

C. 975 Bq

Correct D. 995 Bq

Correct Answer: D

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Question 24

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the current flowing through the circuit.

A. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

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Question 25

A lens of focal length 20 cm forms an image of an object 30 cm away. Calculate the magnification of the lens.

A. -0.5

B. -0.6

Correct C. -0.7

D. -0.8

Correct Answer: C

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