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POST UTME COAL CITY UNIVERSITY 2021 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 2021 Physics (Objective) questions designed to simulate the real exam environment.

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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. 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 2

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 100 V battery. If the switch is closed at time t = 0, what is the charge on the capacitor after 5 seconds?

A. 0.2 C

B. 0.4 C

Correct C. 0.6 C

D. 0.8 C

Correct Answer: C

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Question 3

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. If the block starts from rest, what is its velocity after 2 seconds?

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 4

A \tank is filled with water to a height of 10 m. If a hole of area 0.01 m^2 is drilled at the bottom of the \tank, what is the rate at which the water level falls after 5 minutes?

A. 0.05 m/min

Correct B. 0.1 m/min

C. 0.15 m/min

D. 0.2 m/min

Correct Answer: B

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Question 5

A 100 V battery is connected in parallel with a 10 μF capacitor and a 20 Ω resistor. If the switch is closed at time t = 0, what is the current in the circuit after 2 seconds?

A. 0.1 A

B. 0.2 A

Correct C. 0.3 A

D. 0.4 A

Correct Answer: C

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Question 6

A 5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg·K) and the latent heat of fusion of ice is 334 kJ/kg, calculate the time it takes for the ice to melt completely.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 7

A 200 V, 50 Hz AC source is connected to a 100 Ω resistor. Calculate the RMS current flowing through the resistor.

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 8

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 9

A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. Calculate the new volume of the gas when the pressure is increased to 2 atm and the temperature is decreased to 200 K.

A. 1 L

Correct B. 2 L

C. 3 L

D. 4 L

Correct Answer: B

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Question 10

A spring with a spring cons\tant of 100 N/m is stretched by 2 m. Calculate the work done in stretching the spring.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 11

A parallel plate capacitor is connected to a battery of electromotive force 12 V. The dis\tance between the plates is 2 mm and the area of each plate is 10 cm^2. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance of the capacitor.

A. \( 2.5 \times 10^{-7} \) F

Correct B. \( 5.0 \times 10^{-7} \) F

C. \( 1.0 \times 10^{-6} \) F

D. \( 2.0 \times 10^{-6} \) F

Correct Answer: B

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Question 12

A body of mass 2 kg is moving with a velocity of 5 m/s. If the body is subjected to a force of 10 N, calculate the acceleration of the body.

A. ( 0.5 ) m/s^2

B. ( 1.0 ) m/s^2

Correct C. ( 2.0 ) m/s^2

D. ( 5.0 ) m/s^2

Correct Answer: C

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Question 13

A ray of light 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.

Correct A. ( 20° )

B. ( 30° )

C. ( 45° )

D. ( 60° )

Correct Answer: A

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Question 14

A body is moving with a uniform acceleration of 2 m/s^2. If the initial velocity is 4 m/s, calculate the dis\tance traveled in 5 seconds.

A. ( 20 ) m

B. ( 30 ) m

C. ( 40 ) m

Correct D. ( 50 ) m

Correct Answer: D

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Question 15

A wave has a frequency of 50 Hz and a wavelength of 2 m. Calculate the velocity 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 16

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the centripetal acceleration.

A. 16 m/s^2

B. 32 m/s^2

Correct C. 48 m/s^2

D. 64 m/s^2

Correct Answer: C

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Question 17

A gas is contained in a cylinder of volume 2 m^3 at a pressure of 1 atm. If the temperature is increased by 10°C, calculate the new pressure.

A. 1.2 atm

Correct B. 1.5 atm

C. 2.0 atm

D. 2.5 atm

Correct Answer: B

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Question 18

A coil of wire is placed in a magnetic field with a magnetic flux density of 0.5 T. If the coil has 100 turns and a cross-sectional area of 0.01 m^2, calculate the induced emf.

A. 0.1 V

B. 0.5 V

Correct C. 1.0 V

D. 5.0 V

Correct Answer: C

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Question 19

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, calculate the current flowing through the 5 Ω resistor.

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1.0 A

Correct Answer: C

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Question 20

A capacitor of 100 μF is connected in series with a resistor of 20 Ω. If a voltage of 10 V is applied across the circuit, calculate the time cons\tant.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 22

A gas is contained in a cylinder of volume 0.5 m^3 at a pressure of 2 atm. If the temperature of the gas is increased by 50 K, what is the new pressure of the gas?

A. 2.5 atm

B. 3 atm

Correct C. 3.5 atm

D. 4 atm

Correct Answer: C

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Question 23

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?

A. 10 m

B. 12 m

Correct C. 15 m

D. 18 m

Correct Answer: C

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Question 24

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

Correct A. 900 Bq

B. 950 Bq

C. 990 Bq

D. 1000 Bq

Correct Answer: A

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Question 25

A particle of mass 1 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 centripetal acceleration of 1.5 m/s^2, what is the magnitude of the force acting on the particle?

A. 5 N

B. 6 N

Correct C. 7 N

D. 8 N

Correct Answer: C

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