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POST UTME COAL CITY UNIVERSITY 2018 Physics | Objective

Are you preparing for POST UTME COAL CITY UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.

A. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 2

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

A. 1.5 A

Correct B. 2.0 A

C. 2.5 A

D. 3.0 A

Correct Answer: B

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Question 3

A container of volume 0.05 m³ is filled with air at a pressure of 1.5 atm. If the temperature of the air is increased by 20°C, what is the new pressure?

A. 2.0 atm

B. 2.5 atm

Correct C. 3.0 atm

D. 3.5 atm

Correct Answer: C

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Question 4

A magnetic field of 0.5 T is directed perp\endicular to a wire carrying a current of 2 A. Calculate the force on a 0.1 m length of the wire.

A. 0.1 N

Correct B. 0.2 N

C. 0.3 N

D. 0.4 N

Correct Answer: B

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Question 5

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 μF capacitor. Calculate the time cons\tant of the circuit.

A. 0.1 s

Correct B. 0.2 s

C. 0.3 s

D. 0.4 s

Correct Answer: B

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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 magnetic field of strength 2 T, what is the magnitude of the magnetic force acting on the particle?

Correct A. 8 N

B. 10 N

C. 12 N

D. 16 N

Correct Answer: A

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Question 7

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?

A. -10 cm

Correct B. -15 cm

C. -20 cm

D. -25 cm

Correct Answer: B

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Question 8

A body of mass 5 kg is moving in a straight line with a velocity of 10 m/s. If it is subjected to 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 9

A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 5 m/s. If the particle is subjected to a magnetic field of strength 1 T, what is the magnitude of the magnetic force acting on the particle?

A. 6 N

B. 8 N

Correct C. 10 N

D. 12 N

Correct Answer: C

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Question 10

A concave mirror of focal length -10 cm is placed in contact with a convex mirror of focal length 15 cm. What is the focal length of the combination?

A. -5 cm

B. -10 cm

Correct C. -15 cm

D. -20 cm

Correct Answer: C

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Question 11

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is doubled, what is the new potential difference?

A. 10 V

B. 20 V

C. 40 V

Correct D. 80 V

Correct Answer: D

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Question 12

A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant?

A. 0.2 s

Correct B. 0.5 s

C. 1 s

D. 2 s

Correct Answer: B

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Question 13

A 100 W bulb is connected to a 220 V mains supply. What is the resis\tance of the bulb?

A. 400 Ω

B. 800 Ω

Correct C. 1000 Ω

D. 1200 Ω

Correct Answer: C

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Question 14

A 2 kg block is attached to a horizontal 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?

A. 0.5 m/s

B. 1 m/s

Correct C. 2 m/s

D. 5 m/s

Correct Answer: C

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Question 15

A 50 Hz AC voltage is applied across a 10 Ω resistor. What is the rms value of the current?

A. 2 A

B. 5 A

Correct C. 10 A

D. 20 A

Correct Answer: C

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Question 16

A 2.5 V battery is connected in series with a 5 Ω resistor and a 10 Ω resistor. Calculate the total resis\tance in the circuit.

A. 10 Ω

Correct B. 12.5 Ω

C. 15 Ω

D. 20 Ω

Correct Answer: B

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Question 17

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm and a temperature of 300 K. Calculate the new volume if the pressure is doubled and the temperature is increased to 400 K.

A. 1.25 L

B. 2.5 L

Correct C. 5 L

D. 10 L

Correct Answer: C

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Question 18

A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. Calculate the speed of the sound wave.

A. 300 m/s

B. 600 m/s

Correct C. 1200 m/s

D. 2400 m/s

Correct Answer: C

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Question 19

A particle has a wave function given by ψ(x) = Ae^(ikx). Calculate the probability density of the particle.

Correct A. |A|^2

B. |A|^2e^(ikx)

C. |A|^2e^\( -ikx \)

D. |A|^2e^(ikx)e^\( -ikx \)

Correct Answer: A

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Question 20

A heat engine operates between a temperature of 500 K and a temperature of 300 K. Calculate the efficiency of the engine.

A. 0.25

Correct B. 0.5

C. 0.75

D. 0.9

Correct Answer: B

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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?

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 22

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 23

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?

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 24

A 100 W 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

Correct C. 1 A

D. 2 A

Correct Answer: C

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Question 25

A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.5 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 1 m/s

B. 2 m/s

Correct C. 3 m/s

D. 4 m/s

Correct Answer: C

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