Practice post utme summit university physics 2020 Past Questions

Question 1

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. If the switch is closed at t = 0, what is the time cons\tant of the circuit?

A. 0.1 s

B. 0.2 s

C. 0.5 s

D. 1 s

Question 2

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 3

A 2.5 V battery is connected in series with a 5 Ω resistor and a 10 Ω resistor. U\sing Kirchhoff's voltage law, calculate the current flowing through the 5 Ω resistor.

A. 0.2 A

B. 0.5 A

C. 1 A

D. 2 A

Question 4

A 5 kg block is moving in a straight line with a velocity of 10 m/s. If a force of 20 N is applied to the block, what is the acceleration of the block?

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Question 5

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 kinetic energy of the block.

A. K = \frac{1}{2}mv^2

B. K = \frac{1}{2}kx^2

C. K = \frac{1}{2}F^2

D. K = \\frac{1}{2}m\\omega^2x^2

Question 6

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 7

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°

B. 25°

C. 30°

D. 35°

Question 8

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 9

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 10

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 11

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm. If the temperature is increased to 300 K, calculate the new volume of the gas.

A. 3.5 L

B. 4.0 L

C. 4.5 L

D. 5.0 L

Question 12

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in parallel. U\sing Kirchhoff's laws, calculate the current flowing through the 10 Ω resistor.

A. 0.5 A

B. 1 A

C. 2 A

D. 3 A

Question 13

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 14

A light ray passes through a prism of angle 60° and emerges parallel to the incident ray. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 15°

B. 30°

C. 45°

D. 60°

Question 15

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

A. 1.0 rad/s

B. 2.0 rad/s

C. 3.0 rad/s

D. 4.0 rad/s

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