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POST UTME SKYLINE UNIVERSITY 2021 Physics | Objective

Are you preparing for POST UTME SKYLINE 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 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 force exerted on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 2

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 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 3

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. 0.05 m

Correct B. 0.1 m

C. 0.15 m

D. 0.2 m

Correct Answer: B

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Question 4

A gas is contained in a cylinder with a volume of 2 L and a pressure of 1 atm. If the temperature is increased by 10°C, what is the new pressure of the gas?

A. 1.1 atm

B. 1.2 atm

Correct C. 1.3 atm

D. 1.4 atm

Correct Answer: C

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Question 5

A car is traveling at a speed of 50 m/s when it encounters a hill with a height of 10 m. If the car's kinetic energy is 1000 J, what is the potential energy of the car at the top of the hill?

A. 500 J

B. 750 J

Correct C. 1000 J

D. 1250 J

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 angular frequency of the particle?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 7

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the time cons\tant of the circuit?

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 8

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 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 9

A 100 μF capacitor is connected in parallel with a 200 μF capacitor. What is the equivalent capaci\tance of the circuit?

A. 100 μF

B. 200 μF

Correct C. 300 μF

D. 400 μF

Correct Answer: C

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Question 10

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 50 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 11

A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at the point (0.5 m, 0 m). What is the magnitude of the electric field at the point (0 m, 0.5 m)?

A. 0.5 N/C

B. 1.0 N/C

Correct C. 1.5 N/C

D. 2.0 N/C

Correct Answer: C

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Question 12

A coil of wire with 100 turns is placed in a magnetic field of strength 0.5 T. The coil has a radius of 0.1 m. What is the magnitude of the induced emf in the coil when the magnetic field is reduced to 0.2 T in 0.1 s?

A. 0.1 V

B. 0.2 V

Correct C. 0.3 V

D. 0.4 V

Correct Answer: C

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Question 13

A wave with a frequency of 100 Hz and a wavelength of 0.1 m is traveling through a medium. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 14

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 0.1 m/s

B. 0.2 m/s

Correct C. 0.3 m/s

D. 0.4 m/s

Correct Answer: C

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Question 15

A car travels from rest to a speed of 20 m/s in 2 s. What is the acceleration of the car?

A. 10 m/s^2

Correct B. 20 m/s^2

C. 30 m/s^2

D. 40 m/s^2

Correct Answer: B

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Question 16

A container of volume 0.5 m³ is filled with an ideal gas at a pressure of 2.5 × 10^5 Pa. If the temperature of the gas is increased by 50 K, what is the new pressure of the gas?

A. 1.25 × 10^5 Pa

B. 2.5 × 10^5 Pa

Correct C. 3.75 × 10^5 Pa

D. 5.0 × 10^5 Pa

Correct Answer: C

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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, what is 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 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 10 Ω

B. 20 Ω

C. 30 Ω

Correct D. 60 Ω

Correct Answer: D

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Question 19

A capacitor of capaci\tance 100 μF is connected in parallel with a capacitor of capaci\tance 200 μF. What is the equivalent capaci\tance of the circuit?

A. 100 μF

B. 200 μF

C. 300 μF

Correct D. 400 μF

Correct Answer: D

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Question 20

A point charge of 2 μC is placed at the origin of a coordinate system. What is the electric potential at a point 1 m away from the charge?

A. 1 × 10^3 V

Correct B. 2 × 10^3 V

C. 3 × 10^3 V

D. 4 × 10^3 V

Correct Answer: B

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Question 21

A parallel plate capacitor with plate separation $d$ and plate area $A$ is connected to a battery of electromotive force $V$. If the dielectric cons\tant of the material between the plates is $kappa$, the capaci\tance of the capacitor is given by $C = \frac{kappa epsilon_0 A}{d}$. If the battery is disconnected and a charge $Q$ is removed from the capacitor, the electric field between the plates is given by $E = \frac{Q}{kappa epsilon_0 A}$. What is the energy stored in the capacitor when the charge is $Q$?

Correct A. 0.5\kappa\epsilon_0\frac{Q^2}{A}

B. \kappa\epsilon_0\frac{Q^2}{A}

C. \frac{Q^2}{2\kappa\epsilon_0 A}

D. \frac{Q^2}{\kappa\epsilon_0 A}

Correct Answer: A

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Question 22

A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. The particle experiences a uniform gravitational field of strength $g$. What is the time of flight of the particle?

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

B. \frac{v_0\sin\theta}{g}

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

D. \frac{v_0\cos\theta}{g}

Correct Answer: A

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Question 23

A light ray passes through a prism of re\fractive index $\mu$ and is deviated by an angle $\delta$. The angle of incidence is $\alpha$ and the angle of emergence is $\beta$. What is the angle of deviation $\delta$?

Correct A. \mu$ \alpha - \beta $

B. \mu$ \alpha + \beta $

C. \mu\alpha - \beta

D. \mu\beta - \alpha

Correct Answer: A

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Question 24

A coil of wire of resis\tance $R$ and induc\tance $L$ is connected to a battery of electromotive force $V$. The current in the coil is given by $I = \frac{V}{R}e^{-\frac{Rt}{L}}$. What is the time cons\tant of the circuit?

Correct A. \frac{L}{R}

B. \frac{R}{L}

C. \frac{V}{R}

D. \frac{V}{L}

Correct Answer: A

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Question 25

A wave of frequency $f$ and wavelength $\lambda$ is propagating through a medium of speed $v$. What is the angular frequency of the wave?

Correct A. 2\pi f

B. \frac{2\pi f}{\lambda}

C. \frac{2\pi v}{\lambda}

D. \frac{2\pi f}{v}

Correct Answer: A

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