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POST UTME OSUSTECH 2018 Physics | Objective

Are you preparing for POST UTME OSUSTECH 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.

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Question 1

A light ray passes from air into a glass slab of thickness 4.0 cm and 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 2

A 2 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. What is the maximum speed of the block?

A. 0.5 m/s

B. 1.0 m/s

Correct C. 1.5 m/s

D. 2.0 m/s

Correct Answer: C

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Question 3

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the sound wave?

A. 1.7 m

Correct B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: B

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Question 4

A 10 kg block is placed on a frictionless surface and attached to a horizontal string. The block is pulled with a force of 20 N for 2 seconds, then released. What is the speed of the block after 4 seconds?

A. 5 m/s

B. 10 m/s

Correct C. 15 m/s

D. 20 m/s

Correct Answer: C

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Question 5

A 5 kg block is attached to a vertical spring with a force cons\tant of 50 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. 0.5 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 6

A 2.5 mH inductor is connected in series with a 40 Ω resistor and a 10 V battery. Assuming the inductor is initially uncharged, what is the current in the circuit after 0.1 s?

A. 0.4 A

Correct B. 0.8 A

C. 1.2 A

D. 1.6 A

Correct Answer: B

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Question 7

A beam of light is incident on a glass slab at an angle of incidence of 60°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?

Correct A. 30°

B. 40°

C. 50°

D. 60°

Correct Answer: A

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Question 8

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 magnitude of the force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 9

A wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 10

A 100 W light bulb is connected to a 220 V power source. What is the current in the circuit?

A. 0.4 A

B. 0.8 A

Correct C. 1.2 A

D. 1.6 A

Correct Answer: C

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Question 11

A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. Find the time of flight.

A. 2.5 s

Correct B. 3.0 s

C. 3.5 s

D. 4.0 s

Correct Answer: B

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Question 12

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 100 Ω. If a voltage of 20 V is applied across the circuit, find the current flowing through the circuit.

Correct A. 0.2 A

B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: A

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Question 13

A radioactive subs\tance has a half-life of 5 years. If 100 g of the subs\tance is initially present, find the mass of the subs\tance remaining after 10 years.

A. 25 g

Correct B. 50 g

C. 75 g

D. 100 g

Correct Answer: B

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Question 14

A block of mass 5 kg is attached to a horizontal spring of spring cons\tant 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, find 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 15

A parallel plate capacitor has a capaci\tance of 20 μF. If a potential difference of 10 V is applied across the plates, find the energy stored in the capacitor.

A. 0.2 J

B. 0.4 J

C. 0.6 J

Correct D. 0.8 J

Correct Answer: D

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Question 16

A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the observer?

A. 220 Hz

Correct B. 240 Hz

C. 260 Hz

D. 280 Hz

Correct Answer: B

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Question 17

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 4 is inserted between the plates, what is the new capaci\tance?

A. 12.5 μF

B. 15 μF

Correct C. 17.5 μF

D. 20 μF

Correct Answer: C

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Question 18

A gas at 300 K expands from 10 L to 50 L against a cons\tant external pressure of 2 atm. What is 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 19

A convex lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm from the lens. What is the magnification of the lens?

A. 0.5

Correct B. 1

C. 1.5

D. 2

Correct Answer: B

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Question 20

A particle of mass 2 kg is moving in a circular path of radius 5 m with a speed of 10 m/s. What is the centripetal force acting on the particle?

A. 100 N

Correct B. 200 N

C. 300 N

D. 400 N

Correct Answer: B

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Question 21

A 2 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the latent heat of fusion of ice is 334 kJ/kg, calculate the time it takes for the ice to melt completely.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 22

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal acceleration of 2 m/s², calculate the force exerted on the particle.

A. 2 N

B. 4 N

Correct C. 6 N

D. 8 N

Correct Answer: C

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Question 23

A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the light bulb is 100 Ω, calculate the current flowing through the light bulb.

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 24

A gas expands from 1 L to 2 L against a cons\tant external pressure of 1 atm. If the work done by the gas is 100 J, calculate the initial pressure of the gas.

A. 1 atm

B. 2 atm

Correct C. 3 atm

D. 4 atm

Correct Answer: C

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Question 25

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the acceleration due to gravity is 9.8 m/s², calculate the maximum height reached by the projectile.

A. 10 m

B. 20 m

Correct C. 30 m

D. 40 m

Correct Answer: C

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