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POST UTME UNILORIN 2017 Physics | Objective

Are you preparing for POST UTME UNILORIN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A uniform solid sphere of mass M and radius R is placed in a uniform gravitational field. Find the gravitational potential energy of the sphere.

Correct A. \( \frac{2}{5} \frac{GM^2}{R} \)

B. \( \frac{3}{5} \frac{GM^2}{R} \)

C. \( \frac{4}{5} \frac{GM^2}{R} \)

D. \( \frac{5}{5} \frac{GM^2}{R} \)

Correct Answer: A

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Question 2

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored?

Correct A. \( 2 \times 10^{-4} , \text{C} \)

B. \( 2 \times 10^{-3} , \text{C} \)

C. \( 2 \times 10^{-2} , \text{C} \)

D. \( 2 \times 10^{-1} , \text{C} \)

Correct Answer: A

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Question 3

A ray of light 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?

Correct A. ( 18.43° )

B. ( 20.36° )

C. ( 22.29° )

D. ( 24.22° )

Correct Answer: A

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Question 4

A circuit consists of a 12 Ω resistor and a 20 Ω resistor connected in parallel. If a voltage of 24 V is applied across the circuit, what is the current through the 12 Ω resistor?

Correct A. \( 0.8 , \text{A} \)

B. \( 1.2 , \text{A} \)

C. \( 1.6 , \text{A} \)

D. \( 2.0 , \text{A} \)

Correct Answer: A

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Question 5

A radioactive sample decays at a rate of 5% per hour. If the initial activity is 1000 Bq, what is the activity after 3 hours?

A. \( 250 , \text{Bq} \)

B. \( 375 , \text{Bq} \)

C. \( 500 , \text{Bq} \)

Correct D. \( 625 , \text{Bq} \)

Correct Answer: D

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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 velocity 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 wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in a medium with a speed of 20 m/s, what is the amplitude of the wave?

Correct A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: A

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Question 8

A capacitor consists of two parallel plates, each with an area of 0.1 m^2 and separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?

A. 10^-5 C

Correct B. 10^-6 C

C. 10^-7 C

D. 10^-8 C

Correct Answer: B

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Question 9

A ray of light 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 10

A lens has a focal length of 0.1 m. If an object is placed 0.2 m in front of the lens, what is the image dis\tance?

Correct A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: A

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Question 11

A uniform magnetic field of strength 2.5 T is applied to a coil of wire with 50 turns. If the coil has a radius of 0.05 m and a resis\tance of 10 Ω, what is the induced emf when the coil is rotated through an angle of 90° in 0.1 s?

A. 0.25 V

Correct B. 0.5 V

C. 1 V

D. 2 V

Correct Answer: B

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Question 12

A ray of light 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 13

A sound wave with a frequency of 200 Hz and an amplitude of 0.5 m is traveling through a medium with a speed of 340 m/s. What is the wavelength of the sound wave?

Correct A. 1.7 m

B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: A

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Question 14

A thermodynamic system undergoes a process from state A to state B, where the initial temperature is 300 K and the final temperature is 400 K. If the heat capacity of the system is 1000 J/K, what is the change in internal energy?

A. 100 kJ

Correct B. 200 kJ

C. 300 kJ

D. 400 kJ

Correct Answer: B

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Question 15

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

Correct B. 2.0 A

C. 2.5 A

D. 3.0 A

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. 4 m/s^2

B. 6 m/s^2

Correct C. 8 m/s^2

D. 10 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 20 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 18

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density on the plates?

A. 30 μC/m^2

Correct B. 60 μC/m^2

C. 90 μC/m^2

D. 120 μC/m^2

Correct Answer: B

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Question 19

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity at x = 0.25 m?

Correct A. Positive x-direction

B. Negative x-direction

C. Positive y-direction

D. Negative y-direction

Correct Answer: A

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Question 20

A sound wave has a frequency of 100 Hz and a speed of 343 m/s. If the wave is traveling in the positive x-direction, what is the wavelength of the wave?

A. 2 m

B. 3 m

Correct C. 3.43 m

D. 4 m

Correct Answer: C

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Question 21

A gas at 300 K expands from 1.00 L to 2.00 L against a cons\tant external pressure of 1.00 atm. Calculate the work done by the gas, assuming it behaves as an ideal gas.

A. 1.00 L atm

B. 2.00 L atm

Correct C. 3.00 L atm

D. 4.00 L atm

Correct Answer: C

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Question 22

A particle of mass 2.00 kg moves in a circular path of radius 3.00 m with a cons\tant speed of 4.00 m/s. Calculate the magnitude of the net force acting on the particle.

A. 10.0 N

B. 20.0 N

Correct C. 30.0 N

D. 40.0 N

Correct Answer: C

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Question 23

A circuit consists of a 12.0 V battery, a 4.00 Ω resistor, and a 6.00 Ω resistor connected in series. Calculate the current flowing through the circuit.

A. 1.00 A

B. 2.00 A

Correct C. 3.00 A

D. 4.00 A

Correct Answer: C

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Question 24

A sound wave has a frequency of 200 Hz and a wavelength of 0.50 m. Calculate the speed of the sound wave.

A. 100 m/s

B. 200 m/s

Correct C. 300 m/s

D. 400 m/s

Correct Answer: C

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Question 25

A quantum particle has an energy of 10.0 eV. Calculate the wavelength of the particle.

A. 1.00 nm

B. 2.00 nm

Correct C. 3.00 nm

D. 4.00 nm

Correct Answer: C

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