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POST UTME IMS U 2024 Physics | Objective

Are you preparing for POST UTME IMS U exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A block of mass 5 kg is susp\ended from a spring with spring cons\tant 200 N/m. If the block is displaced by 0.1 m from its equilibrium position, calculate the work done by the spring in bringing the block back to its equilibrium position.

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 2

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across the plates, calculate the energy stored in the capacitor.

A. 25 μJ

Correct B. 50 μJ

C. 75 μJ

D. 100 μJ

Correct Answer: B

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Question 3

A 100 W bulb is connected to a 230 V AC supply. If the bulb is rated for 10 A, calculate the power factor of the bulb.

A. 0.5

Correct B. 0.7

C. 0.9

D. 1.0

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, calculate the activity after 10 years.

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 5

A heat engine operates between a source temperature of 500 K and a \sink temperature of 300 K. If the engine has an efficiency of 30%, calculate the work output per cycle.

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 6

A 50 Hz AC generator produces an emf of 200 V. If the current in the circuit is 5 A, what is the impedance of the circuit?

A. 20 Ω

B. 30 Ω

Correct C. 40 Ω

D. 50 Ω

Correct Answer: C

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Question 7

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is 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 8

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 50 V is applied across the plates, what is the charge stored on the capacitor?

A. 2.5 μC

Correct B. 5 μC

C. 10 μC

D. 20 μC

Correct Answer: B

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Question 9

A wave has a frequency of 100 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 20 m/s

B. 30 m/s

C. 40 m/s

Correct D. 50 m/s

Correct Answer: D

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Question 10

A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 3 m/s. What is the magnitude of the centripetal force acting on the particle?

A. 4 N

B. 6 N

Correct C. 8 N

D. 10 N

Correct Answer: C

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Question 11

A radioactive sample of $^{238}U$ undergoes \alpha decay. If the half-life of $^{238}U$ is $4.5 \times 10^9$ years, what is the activity of the sample after $1.8 \times 10^9$ years?

A. 1.2 x 10^9 Bq

Correct B. 2.4 x 10^9 Bq

C. 4.8 x 10^9 Bq

D. 6.0 x 10^9 Bq

Correct Answer: B

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Question 12

A block of mass $m$ is susp\ended from a spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the maximum speed of the block as a function of $x$?

Correct A. \sqrt{\frac{k}{m}} x

B. \frac{k}{m} x

C. \frac{m}{k} x

D. \frac{k}{x} m

Correct Answer: A

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Question 13

A circuit consists of a $10\Omega$ resistor, a $20\Omega$ resistor, and a $5\Omega$ resistor connected in series. If a voltage of $12V$ is applied across the circuit, what is the current through the $5\Omega$ resistor?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 14

A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, what is the frequency of the reflected wave?

Correct A. f

B. 2f

C. f/2

D. f/3

Correct Answer: A

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Question 15

A light wave with wavelength $\lambda$ and frequency $f$ is traveling through a medium with speed $v$. If the wave is re\fracted through a surface, what is the angle of re\fraction?

Correct A. \frac{v_2}{v_1} \theta_1

B. \frac{v_1}{v_2} \theta_1

C. \frac{\lambda}{\lambda'} \theta_1

D. \frac{\lambda'}{\lambda} \theta_1

Correct Answer: A

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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. What is the magnitude of the centripetal 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 17

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?

A. 100 m/s

Correct B. 200 m/s

C. 250 m/s

D. 300 m/s

Correct Answer: B

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Question 18

A force of 10 N is applied to an object of mass 5 kg. What is the acceleration of the object?

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 19

A particle is moving in a straight line with an initial velocity of 5 m/s. After 2 seconds, its velocity is 10 m/s. What is the acceleration of the particle?

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 20

A wave has a frequency of 60 Hz and a wavelength of 1.5 m. What is the speed of the wave?

A. 150 m/s

Correct B. 200 m/s

C. 250 m/s

D. 300 m/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 net 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 12 V battery is connected to a 4 Ω resistor in series with a 6 Ω resistor. What is the current flowing through the 4 Ω resistor?

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 23

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?

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 24

A 10 V battery is connected to a 2 Ω resistor in parallel with a 3 Ω resistor. What is the total resis\tance of the circuit?

A. 1.2 Ω

Correct B. 1.5 Ω

C. 1.8 Ω

D. 2.2 Ω

Correct Answer: B

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Question 25

A particle of mass 3 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 2 N for 2 seconds, what is the final velocity of the particle?

A. 6 m/s

B. 7 m/s

Correct C. 8 m/s

D. 9 m/s

Correct Answer: C

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