Practice post utme futo 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. 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 gas at a pressure of 2 atm and temperature of 300 K is allowed to expand to a volume of 5 m^3. If the gas is ideal and the expansion is adiabatic, what is the final temperature of the gas?

A. 200 K

Correct B. 250 K

C. 300 K

D. 350 K

Correct Answer: B

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Question 3

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 4

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 20 Bq

B. 30 Bq

Correct C. 40 Bq

D. 50 Bq

Correct Answer: C

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Question 5

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?

A. 2 m/s^2

B. 5 m/s^2

Correct C. 10 m/s^2

D. 15 m/s^2

Correct Answer: C

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Question 6

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's velocity is 4 m/s, what is its angular velocity?

A. 0.267 rad/s

B. 1.333 rad/s

Correct C. 2.667 rad/s

D. 4.000 rad/s

Correct Answer: C

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Question 7

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

A. 0.2 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 8

A \tank contains 100 L of water at a temperature of 20°C. If 20 L of water at 80°C is added to the \tank, what is the final temperature of the water?

A. 22°C

B. 25°C

Correct C. 30°C

D. 35°C

Correct Answer: C

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Question 9

A coil of wire with 100 turns is placed in a magnetic field of 0.5 T. If the coil's area is 0.1 m^2, what is the induced emf?

A. 0.05 V

B. 0.10 V

C. 0.20 V

Correct D. 0.50 V

Correct Answer: D

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Question 10

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, what is the current through the 5 Ω resistor?

A. 0.2 A

B. 0.4 A

C. 0.6 A

Correct D. 0.8 A

Correct Answer: D

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Question 11

A 5 Ω resistor is connected in series with a 10 V battery. If the current through the resistor is 0.5 A, what is the power dissipated by the resistor?

A. 2.5 W

Correct B. 5 W

C. 10 W

D. 20 W

Correct Answer: B

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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. What is the magnitude of the centripetal acceleration of the particle?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 13

A heat engine operates between two temperatures, 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 14

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. 1 m/s^2

B. 2 m/s^2

Correct C. 5 m/s^2

D. 10 m/s^2

Correct Answer: C

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Question 15

A 2 kg object is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. What is the magnitude of the centripetal force acting on the object?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

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. 6 m/s^2

Correct B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: B

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Question 17

A gas is contained in a cylinder of volume 2 L at a pressure of 1 atm. If the temperature of the gas is increased by 10°C, what is the new pressure of the gas?

A. 1.1 atm

Correct B. 1.2 atm

C. 1.3 atm

D. 1.4 atm

Correct Answer: B

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Question 18

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 air resis\tance is negligible, 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 19

A circuit consists of a 2 Ω resistor, a 3 Ω resistor, and a 4 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?

A. 2 A

Correct B. 3 A

C. 4 A

D. 5 A

Correct Answer: B

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Question 20

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 5 Ω. If a voltage of 10 V is applied across the circuit, what is the current flowing through the circuit?

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 21

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

Correct A. 20 m/s

B. 10 m/s

C. 5 m/s

D. 2 m/s

Correct Answer: A

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Question 22

A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across it, what is the charge stored?

A. 20 μC

Correct B. 40 μC

C. 60 μC

D. 80 μC

Correct Answer: B

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Question 23

A 100 Ω resistor is connected in series with a 20 μF capacitor and a 10 μH inductor. If an AC voltage of 10 V is applied, what is the impedance of the circuit?

A. 120 Ω

B. 140 Ω

Correct C. 160 Ω

D. 180 Ω

Correct Answer: C

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Question 24

A particle of mass 2 kg is moving in a circular path of radius 5 m with a speed of 10 m/s. What is the centripetal force acting on it?

A. 50 N

Correct B. 100 N

C. 150 N

D. 200 N

Correct Answer: B

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Question 25

A 100 W bulb is connected to a 220 V power supply. What is the current drawn from the supply?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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