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POST UTME SUMMIT UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1

A beam of light passes through a polarizer and emerges with an intensity of 1/4 of the incident intensity. If the polarizer is rotated by 45°, calculate the new intensity.

A. 1/8

B. 1/4

C. 1/2

D. 3/4

Question 2

A block of mass m is placed on a frictionless surface and a force F is applied to it. The block is displaced by a dis\tance x and released. Assuming the motion is simple harmonic, find the acceleration of the block.

A. a = \frac{F}{m}

B. a = \frac{kx}{m}

C. a = \frac{F}{k}

D. a = \frac{k}{m}

Question 3

A particle of mass 2 kg is moving in a circular path of radius 1 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the angular velocity.

A. 2 rad/s

B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Question 4

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

C. 6 m/s^2

D. 8 m/s^2

Question 5

A particle moves in a circular path with a cons\tant speed of 20 m/s. If the radius of the path is 5 m, calculate the acceleration of the particle.

A. 10 m/s^2

B. 20 m/s^2

C. 30 m/s^2

D. 40 m/s^2

Question 6

A ray of light is incident on a glass slab at an angle of incidence θ. If the re\fractive index of the glass is μ, calculate the angle of re\fraction.

A. \sin \theta_i = \frac{\sin \theta_r}{\mu}

B. \sin \theta_i = \frac{\cos \theta_r}{\mu}

C. \sin \theta_i = \frac{\tan \theta_r}{\mu}

D. \sin \theta_i = \frac{\csc \theta_r}{\mu}

Question 7

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 from its equilibrium position and released from rest, calculate the time taken for the block to reach its maximum velocity.

A. t = \frac{1}{\omega} \sin^{-1} \left$ \frac{\omega x}{v_0} \right $

B. t = \frac{1}{\omega} \cos^{-1} \left$ \frac{\omega x}{v_0} \right $

C. t = \frac{1}{\omega} \tan^{-1} \left$ \frac{\omega x}{v_0} \right $

D. t = \frac{1}{\omega} \csc^{-1} \left$ \frac{\omega x}{v_0} \right $

Question 8

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° 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

C. 20 m

D. 25 m

Question 9

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

B. 2.0 A

C. 2.5 A

D. 3.0 A

Question 10

A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.1 m. If the coil is rotated by 90°, what is the induced emf?

A. 0.1 V

B. 0.2 V

C. 0.3 V

D. 0.4 V

Question 11

A light ray passes through a convex lens of focal length 0.2 m. If the object dis\tance is 0.5 m, what is the image dis\tance?

A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Question 12

A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 60° to the horizontal. If the acceleration due to gravity is 10 m/s^2, calculate the time of flight of the projectile.

A. 5 s

B. 10 s

C. 15 s

D. 20 s

Question 13

A capacitor consists of two parallel plates, each of area A, separated by a dis\tance d. The capaci\tance is given by C = \frac{\epsilon_0 A}{d}. If the area of each plate is increased by a factor of 2, what is the new capaci\tance?

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

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

C. C = \frac{\epsilon_0 (2A)}{d}

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

Question 14

A wave function ψ(x) is given by ψ(x) = Ae^{ikx}. Find the momentum of the wave function.

A. p = \hbar k

B. p = \hbar (2k)

C. p = \hbar (ik)

D. p = \hbar $ k^2 $

Question 15

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ of the particle's motion.

A. ω = k/m

B. ω = √$ k/m $

C. ω = k√m

D. ω = √(k√m)

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POST UTME SUMMIT UNIVERSITY 2020 Physics | Objective

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