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POST UTME SUMMIT UNIVERSITY 2021 Physics | Objective

Are you preparing for POST UTME SUMMIT 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 $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = k/r^2$. If the particle's speed is $v$, what is the total energy of the particle?

A. $\frac{1}{2}mv^2 + \frac{km}{r}$

Correct B. $\frac{1}{2}mv^2 - \frac{km}{r}$

C. $\frac{1}{2}mv^2 + \frac{km}{r^2}$

D. $\frac{1}{2}mv^2 - \frac{km}{r^2}

Correct Answer: B

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Question 2

A radioactive sample has a half-life of $T_{1/2}$. If the initial activity is $A_0$, what is the activity of the sample after a time $t$?

Correct A. A_0 \left$ \frac{1}{2}\right $^{t/T_{1/2}}

B. A_0 \left$ \frac{1}{2}\right $^{T_{1/2}/t}

C. A_0 \left$ \frac{1}{2}\right $^{t/T_{1/2}} + A_0

D. A_0 \left$ \frac{1}{2}\right $^{T_{1/2}/t}

Correct Answer: A

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Question 3

A particle of mass $m$ is moving in a one-dimensional potential $V(x) = k|x|$. If the particle's energy is $E$, what is the probability that the particle is in the region $x > 0$?

Correct A. \frac{1}{2}\left$ 1 + \frac{E}{k}\right $

B. \frac{1}{2}\left$ 1 - \frac{E}{k}\right $

C. \frac{1}{2}\left$ 1 + \frac{k}{E}\right $

D. \frac{1}{2}\left$ 1 - \frac{k}{E}\right $

Correct Answer: A

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Question 4

A block of mass $m$ is attached to a horizontal 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?

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

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

C. \sqrt{\frac{k}{mx^2}}

D. \sqrt{\frac{m}{kx^2}}

Correct Answer: A

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Question 5

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = k/r^2$. If the particle's speed is $v$, what is the angular momentum of the particle?

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

B. \frac{mv^2}{k}

C. \frac{mkr}{v^2}

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

Correct Answer: A

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Question 6

A beam of light passes from air into a medium with 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 7

A 5 kg block is attached to a horizontal, massless spring with force cons\tant 200 N/m. 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 10 years. If the initial activity is 1000 Bq, what is the activity after 20 years?

A. 250 Bq

Correct B. 500 Bq

C. 750 Bq

D. 1000 Bq

Correct Answer: B

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Question 9

A 2 kg object is moving in a circular path with a radius of 3 m. If the object has a speed of 4 m/s, what is the centripetal acceleration?

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 10

A 10 m long rod is heated from 20°C to 100°C. If the coefficient of linear expansion is 10 × 10^$ -6 $ /°C, what is the change in length?

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 11

A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

A. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 12

A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a cons\tant speed of 2.0 m/s. Calculate the magnitude of the force acting on the particle.

A. 2.0 N

Correct B. 4.0 N

C. 6.0 N

D. 8.0 N

Correct Answer: B

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Question 13

A 100 W light bulb is connected to a 220 V power source. Calculate the current flowing through the bulb.

A. 0.25 A

Correct B. 0.5 A

C. 0.75 A

D. 1.0 A

Correct Answer: B

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Question 14

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity 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 0.5 kg block is moving in a straight line with a velocity of 2.0 m/s. If the block is subjected to a cons\tant force of 5.0 N, calculate the acceleration of the block.

A. 1.0 m/s^2

Correct B. 2.0 m/s^2

C. 3.0 m/s^2

D. 4.0 m/s^2

Correct Answer: B

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Question 16

A light ray passes from air into a glass slab 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 17

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

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Question 18

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 centripetal force acting on the particle?

A. 10 N

B. 15 N

Correct C. 20 N

D. 25 N

Correct Answer: C

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Question 19

A spring of spring cons\tant 100 N/m is stretched by 2 m. What is the potential energy stored in the spring?

A. 200 J

Correct B. 400 J

C. 600 J

D. 800 J

Correct Answer: B

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Question 20

A light ray passes through a prism of angle 30°. What is the angle of deviation?

A. 15°

B. 20°

Correct C. 25°

D. 30°

Correct Answer: C

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Question 21

A block of mass 2 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 22

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. A parallel beam of light is incident on the convex lens. Determine the nature and focal length of the resulting lens system.

Correct A. Concave lens with focal length -30 cm

B. Convex lens with focal length 30 cm

C. Concave lens with focal length -25 cm

D. Convex lens with focal length 25 cm

Correct Answer: A

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Question 23

A point charge of +2 μC is placed at the center of a conducting sphere of radius 10 cm. Determine the electric flux through the sphere.

Correct A. 0 Nm^2/C

B. 10^-6 Nm^2/C

C. 10^-5 Nm^2/C

D. 10^-4 Nm^2/C

Correct Answer: A

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Question 24

A gas at 300 K expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3. Assuming the process is isothermal, 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 25

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Determine the magnitude of the centripetal acceleration.

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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