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POST UTME AAUA 2021 Physics | Objective

Are you preparing for POST UTME AAUA 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.

Practice these randomly selected questions to test your readiness.

Question 1

A parallel beam of light of wavelength 600 nm is incident on a glass slab 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. 40°

D. 50°

Correct Answer: A

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Question 2

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

A. 20 Bq

B. 30 Bq

C. 40 Bq

Correct D. 50 Bq

Correct Answer: D

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Question 3

A charged particle of mass 2 × 10^$ -18 $ kg and charge 3 × 10^$ -6 $ C is moving in a magnetic field of strength 0.5 T. If the particle is moving perp\endicular to the field, calculate the force experienced by the particle.

A. 1.5 × 10^$ -7 $ N

B. 2.0 × 10^$ -7 $ N

Correct C. 2.5 × 10^$ -7 $ N

D. 3.0 × 10^$ -7 $ N

Correct Answer: C

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Question 4

A simple harmonic motion has an amplitude of 2 m and a frequency of 3 Hz. If the initial phase angle is 30°, calculate the displacement at time t = 0.5 s.

A. 0.5 m

Correct B. 1.0 m

C. 1.5 m

D. 2.0 m

Correct Answer: B

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Question 5

A vector A has a magnitude of 4 units and makes an angle of 60° with the x-axis. If vector B has a magnitude of 3 units and makes an angle of 30° with the x-axis, calculate the magnitude of the resul\tant vector A + B.

A. 5.0 units

B. 5.5 units

Correct C. 6.0 units

D. 6.5 units

Correct Answer: C

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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 force of 12 N, what is the magnitude of the acceleration of the particle?

A. 8 m/s^2

B. 12 m/s^2

Correct C. 16 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 7

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, 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 8

A radioactive sample has a half-life of 2 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 6 years?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 9

A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?

Correct A. positive x-direction

B. negative x-direction

C. positive y-direction

D. negative y-direction

Correct Answer: A

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Question 10

A block of mass 10 kg is susp\ended from a spring with a force cons\tant of 30 N/m. If the block is displaced by 1 m from its equilibrium position and released from rest, what is the period of the block's motion?

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 11

A gas is heated from 300 K to 400 K at cons\tant volume. Calculate the change in the root mean square speed of the gas molecules.

A. \sqrt{2}

B. \sqrt{3}

Correct C. \sqrt{4}

D. \sqrt{5}

Correct Answer: C

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Question 12

A magnetic field of 2 T is applied to a coil of wire with 100 turns. If the coil is placed in a uniform magnetic field, what is the induced emf in the coil?

A. 20 V

B. 40 V

Correct C. 60 V

D. 80 V

Correct Answer: C

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Question 13

A wave with a frequency of 50 Hz and a wavelength of 10 m is traveling through a medium. What is the speed of the wave?

A. 500 m/s

Correct B. 1000 m/s

C. 1500 m/s

D. 2000 m/s

Correct Answer: B

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Question 14

A particle is moving in a circular path with a radius of 5 m and a speed of 10 m/s. What is the magnitude of the acceleration of the particle?

A. 10 m/s^2

B. 20 m/s^2

Correct C. 30 m/s^2

D. 40 m/s^2

Correct Answer: C

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Question 15

A force of 10 N is applied to an object, cau\sing it to accelerate at 2 m/s^2. What is the mass of the object?

A. 5 kg

Correct B. 10 kg

C. 15 kg

D. 20 kg

Correct Answer: B

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Question 16

A particle of mass 2 kg is attached to a spring with a force cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the particle.

A. 1.0 m/s

Correct B. 2.0 m/s

C. 3.0 m/s

D. 4.0 m/s

Correct Answer: B

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Question 17

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 18

A block of mass 5 kg is placed on a horizontal surface with a coefficient of kinetic friction of 0.2. If a force of 10 N is applied to the block, calculate the acceleration of the block.

A. 0.5 m/s^2

Correct B. 1.0 m/s^2

C. 2.0 m/s^2

D. 5.0 m/s^2

Correct Answer: B

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Question 19

A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 2 atm. If the gas is ideal, calculate the work done by the gas.

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 20

A body of mass 10 kg is moving in a circular path with a radius of 2 m. If the body has a speed of 4 m/s, calculate the centripetal acceleration of the body.

A. 0.5 m/s^2

B. 1.0 m/s^2

C. 2.0 m/s^2

Correct D. 4.0 m/s^2

Correct Answer: D

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Question 21

A parallel beam of light is incident on a glass slab of thickness $t$ and re\fractive index $mu$. If the angle of incidence is $i$, what is the angle of re\fraction $r$?

A. $ \sin r = \frac{\sin i}{mu} $

Correct B. $ \sin r = \frac{\sin i}{mu} left\( 1 - \frac{mu^2 - 1}{2} \frac{t}{R} \right \ $ )

C. $ \sin r = \frac{\sin i}{mu} left\( 1 + \frac{mu^2 - 1}{2} \frac{t}{R} \right \ $ )

D. $ \sin r = \frac{\sin i}{mu} left\( 1 + \frac{mu^2 - 1}{2} \frac{t}{R} \right \ $^2 )

Correct Answer: B

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Question 22

A gas is heated from $20^\circ\text{C}$ to $100^\circ\text{C}$ at cons\tant volume. If the initial pressure is $1.0\times 10^5\text{ Pa}$, what is the final pressure?

A. $ 1.0\times 10^5\text{ Pa} $

B. $ 2.0\times 10^5\text{ Pa} $

C. $ 3.0\times 10^5\text{ Pa} $

Correct D. $ 4.0\times 10^5\text{ Pa} $

Correct Answer: D

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Question 23

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{R}$, what is the acceleration of the particle?

Correct A. $ \frac{v^2}{R} $

B. $ \frac{v^2}{R^2} $

C. $ \frac{v^2}{R^3} $

D. $ \frac{v^2}{R^4} $

Correct Answer: A

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Question 24

A block of mass $m$ is attached to a horizontal spring with a spring cons\tant $k$. If 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{kx}{m}} $

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

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

Correct Answer: A

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Question 25

A projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?

Correct A. $ \frac{v_0^2 \sin^2 \theta}{2g} $

B. $ \frac{v_0^2 \sin \theta}{2g} $

C. $ \frac{v_0^2 \cos \theta}{2g} $

D. $ \frac{v_0^2 \sin \theta \cos \theta}{2g} $

Correct Answer: A

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