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POST UTME SUMMIT UNIVERSITY 2018 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 2018 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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 momentum?

A. 6 kg m^2/s

Correct B. 12 kg m^2/s

C. 24 kg m^2/s

D. 48 kg m^2/s

Correct Answer: B

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Question 2

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 3

A radioactive sample decays at a rate of 0.05% per hour. If the initial mass of the sample is 100 g, what is its mass after 5 hours?

Correct A. 90.25 g

B. 95.25 g

C. 99.25 g

D. 100.25 g

Correct Answer: A

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Question 4

A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If it experiences a force of 10 N, what is its acceleration?

A. 0.5 m/s^2

Correct B. 1 m/s^2

C. 2 m/s^2

D. 5 m/s^2

Correct Answer: B

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Question 5

A light source is placed 2 m away from a convex lens with a focal length of 1 m. If the lens is 0.5 m thick, what is the magnification of the image formed?

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 6

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $K$?

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 7

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the equation of motion of the particle?

Correct A. $ m\frac{d^2x}{dt^2} + kx = 0 $

B. $ m\frac{d^2x}{dt^2} - kx = 0 $

C. $ m\frac{d^2x}{dt^2} + \frac{k}{m}x = 0 $

D. $ m\frac{d^2x}{dt^2} - \frac{k}{m}x = 0 $

Correct Answer: A

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Question 8

A circuit consists of a battery of emf $\mathcal{E}$, a resistor of resis\tance $R$, and an inductor of induc\tance $L$. If the circuit is connected to a switch that is closed at time $t=0$, what is the equation of the current in the circuit?

Correct A. $ I(t) = \frac{\mathcal{E}}{R} \left\( 1 - e^{-\frac{Rt}{L}} \right $

B. $ I(t) = \frac{\mathcal{E}}{R} \left\( 1 + e^{-\frac{Rt}{L}} \right $

C. $ I(t) = \frac{\mathcal{E}}{R} \left\( 1 - e^{-\frac{Lt}{R}} \right $

D. $ I(t) = \frac{\mathcal{E}}{R} \left\( 1 + e^{-\frac{Lt}{R}} \right $

Correct Answer: A

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Question 9

A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. If the engine has an efficiency of $\eta$, what is the value of the Carnot efficiency?

Correct A. $ \eta = \frac{T_1 - T_2}{T_1} $

B. $ \eta = \frac{T_1 + T_2}{T_1} $

C. $ \eta = \frac{T_1 - T_2}{T_2} $

D. $ \eta = \frac{T_1 + T_2}{T_2} $

Correct Answer: A

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Question 10

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c$, what is the equation of the force?

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

B. $ F_c = \frac{mv}{r} $

C. $ F_c = \frac{m}{r^2} $

D. $ F_c = \frac{m^2}{r} $

Correct Answer: A

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

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 12

A radioactive sample has an initial activity of 100 Bq. After 2 hours, the activity decreases to 50 Bq. What is the half-life of the sample?

A. 1 hour

Correct B. 2 hours

C. 4 hours

D. 6 hours

Correct Answer: B

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Question 13

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine produces 200 J of work per cycle, what is the efficiency of the engine?

A. 0.4

Correct B. 0.5

C. 0.6

D. 0.7

Correct Answer: B

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Question 14

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle experiences a cons\tant acceleration of 2 m/s^2, what is the velocity of the particle after 3 seconds?

A. 7 m/s

B. 9 m/s

Correct C. 11 m/s

D. 13 m/s

Correct Answer: C

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Question 15

A magnetic field of strength 0.5 T is directed perp\endicular to a current-carrying wire of length 2 m. If the current in the wire is 2 A, what is the magnitude of the force acting on the wire?

A. 0.5 N

Correct B. 1 N

C. 1.5 N

D. 2 N

Correct Answer: B

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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. 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 block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 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 18

A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium with a speed of 340 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 19

A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m and radius 0.1 m. If the current in the wire is 5 A, what is the magnitude of the force exerted on the wire?

A. 0.1 N

B. 0.2 N

Correct C. 0.3 N

D. 0.4 N

Correct Answer: C

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Question 20

A simple harmonic motion has a maximum displacement of 0.5 m and a period of 2 s. If the motion starts from its equilibrium position, what is the amplitude of the motion?

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 21

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is the total energy of the particle?

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

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

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

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

Correct Answer: B

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Question 22

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

A. C = \frac{\epsilon_0 A}{d^2}

Correct B. C = \frac{\epsilon_0 A}{d}

C. C = \frac{\epsilon_0 A^2}{d}

D. C = \frac{\epsilon_0 A}{d^3}

Correct Answer: B

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Question 23

A quantum particle of mass $m$ is confined to a one-dimensional box of length $L$. What is the ground-state energy of the particle?

A. E_1 = \frac{h^2}{4mL^2}

Correct B. E_1 = \frac{h^2}{8mL^2}

C. E_1 = \frac{h^2}{16mL^2}

D. E_1 = \frac{h^2}{32mL^2}

Correct Answer: B

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Question 24

A heat engine operates between two temperatures $T_1$ and $T_2$. What is the efficiency of the engine?

A. \eta = \frac{T_2}{T_1}

B. \eta = 1 - \frac{T_1}{T_2}

C. \eta = \frac{T_1 - T_2}{T_1}

Correct D. \eta = 1 - \frac{T_1}{T_2}

Correct Answer: D

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Question 25

A unit of length is defined as the dis\tance between two consecutive points on a ruler. What is the length of the unit?

A. 1 meter

Correct B. 1 centimeter

C. 1 millimeter

D. 1 kilometer

Correct Answer: B

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