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POST UTME BSU 2022 Physics | Objective

Are you preparing for POST UTME BSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 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 with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, what is the magnitude of the centripetal acceleration?

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 2

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?

A. 0.2 A

Correct B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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Question 3

A capacitor of capaci\tance 10 μF is connected in parallel with a capacitor of capaci\tance 20 μF. If a 12 V battery is connected across the circuit, what is the charge on the 10 μF capacitor?

Correct A. 0.12 C

B. 0.24 C

C. 0.36 C

D. 0.48 C

Correct Answer: A

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Question 4

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the potential difference across the 20 Ω resistor?

A. 4 V

Correct B. 6 V

C. 8 V

D. 10 V

Correct Answer: B

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Question 5

A capacitor of capaci\tance 10 μF is connected in parallel with a capacitor of capaci\tance 20 μF. If a 12 V battery is connected across the circuit, what is the potential difference across the 20 μF capacitor?

A. 6 V

B. 8 V

C. 10 V

Correct D. 12 V

Correct Answer: D

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

A. 8 N

Correct B. 10 N

C. 12 N

D. 16 N

Correct Answer: B

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Question 7

A gas is compressed from an initial volume of 2 m^3 to a final volume of 1 m^3. If the initial pressure is 100 kPa and the final pressure is 200 kPa, what is the work done on the gas?

Correct A. -100 J

B. -200 J

C. -300 J

D. -400 J

Correct Answer: A

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Question 8

A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling at a speed of 100 m/s, what is the amplitude of the wave?

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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Question 9

A spring has a spring cons\tant of 100 N/m. If a 5 kg mass is attached to the spring and stretched by 2 m, what is the potential energy stored in the spring?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 10

A particle is moving in a straight line with an initial velocity of 10 m/s. If the particle is subjected to a cons\tant acceleration of 2 m/s^2, what is the velocity of the particle after 5 seconds?

A. 12 m/s

B. 14 m/s

Correct C. 16 m/s

D. 18 m/s

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. 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 12

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of 2 H in series. If the circuit is closed at time t = 0, what is the current in the circuit at time t = 2 s?

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 13

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

A. 1 L

Correct B. 2 L

C. 3 L

D. 4 L

Correct Answer: B

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Question 14

A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 15

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 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 work done by the centripetal force in 5 seconds?

Correct A. 240 J

B. 120 J

C. 60 J

D. 30 J

Correct Answer: A

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Question 17

A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration produced?

Correct A. 4 m/s^2

B. 2 m/s^2

C. 1 m/s^2

D. 0.5 m/s^2

Correct Answer: A

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Question 18

A heat engine operates between the temperatures 300 K and 600 K. If it produces 1000 J of work in 2 seconds, what is its efficiency?

A. 0.5

Correct B. 0.6

C. 0.7

D. 0.8

Correct Answer: B

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Question 19

A radioactive sample decays by 50% in 10 minutes. What is its half-life?

A. 5 minutes

Correct B. 10 minutes

C. 15 minutes

D. 20 minutes

Correct Answer: B

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Question 20

A gas expands from 2 L to 5 L against a cons\tant external pressure of 2 atm. If the initial temperature is 300 K, what is the final temperature?

A. 400 K

Correct B. 500 K

C. 600 K

D. 700 K

Correct Answer: B

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Question 21

A uniform solid sphere of radius $R$ and mass $M$ is placed at the origin of a coordinate system. A point charge $q$ is placed at a dis\tance $r$ from the origin, where $r > R$. What is the magnitude of the electric field at the point charge $q$?

Correct A. $ \frac{kq}{r^2} \left\( 1 - \frac{3R^2}{2r^2} + \frac{R^4}{2r^4} \right $

B. $ \frac{kq}{r^2} \left\( 1 + \frac{3R^2}{2r^2} + \frac{R^4}{2r^4} \right $

C. $ \frac{kq}{r^2} \left\( 1 - \frac{R^2}{2r^2} + \frac{R^4}{2r^4} \right $

D. $ \frac{kq}{r^2} \left\( 1 + \frac{R^2}{2r^2} + \frac{R^4}{2r^4} \right $

Correct Answer: A

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Question 22

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the magnitude of the centripetal force acting on the particle?

Correct A. $ \frac{mv^2}{r} $

B. $ \frac{mv^2}{2r} $

C. $ \frac{mv^2}{3r} $

D. $ \frac{mv^2}{4r} $

Correct Answer: A

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Question 23

A block of mass $M$ is placed on a frictionless surface and connected to a spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the maximum speed of the block?

Correct A. $ \sqrt{\frac{kx^2}{m}} $

B. $ \sqrt{\frac{mx^2}{k}} $

C. $ \sqrt{\frac{kx}{m}} $

D. $ \sqrt{\frac{mx}{k}} $

Correct Answer: A

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Question 24

A capacitor consists of two parallel plates of area $A$ and separation $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?

Correct A. $ \frac{\epsilon_0 A}{d} $

B. $ \frac{\epsilon_0 d}{A} $

C. $ \frac{A}{\epsilon_0 d} $

D. $ \frac{d}{\epsilon_0 A} $

Correct Answer: A

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Question 25

A radioactive sample decays with a half-life of $t_{1/2}$. What is the decay cons\tant $\lambda$?

Correct A. $ \frac{\ln 2}{t_{1/2}} $

B. $ \frac{t_{1/2}}{\ln 2} $

C. $ \frac{2\ln 2}{t_{1/2}} $

D. $ \frac{t_{1/2}}{2\ln 2} $

Correct Answer: A

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