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POST UTME UNIBEN 2017 Physics | Objective

Are you preparing for POST UTME UNIBEN 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 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 subject to a centripetal force of 12 N, what is the magnitude of the force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 2

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the current flowing through the circuit?

A. 0.25 A

B. 0.5 A

Correct C. 1 A

D. 2 A

Correct Answer: C

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Question 3

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. 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 4

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subject to a centripetal force of 6 N, what is the magnitude of the force?

A. 8 N

B. 10 N

Correct C. 12 N

D. 15 N

Correct Answer: C

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Question 5

A 20 μF capacitor is connected in series with a 30 Ω resistor and a 60 V battery. What is the current flowing through the circuit?

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 6

A parallel plate capacitor with plates of area 0.1 m^2 and separation 0.01 m is connected to a battery of emf 12 V. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance of the capacitor.

A. 0.01 F

Correct B. 0.03 F

C. 0.1 F

D. 0.3 F

Correct Answer: B

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Question 7

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 subject to a centripetal force of 12 N, calculate the time taken by the particle to complete one revolution.

A. 2 s

B. 4 s

Correct C. 6 s

D. 8 s

Correct Answer: C

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Question 8

A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. If the pressure is increased to 2 atm and the temperature is decreased to 200 K, calculate the new volume of the gas.

A. 1 L

Correct B. 2 L

C. 3 L

D. 4 L

Correct Answer: B

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Question 9

A lens of focal length 20 cm is placed in a beam of light. If the object dis\tance is 30 cm, calculate the image dis\tance.

A. 10 cm

B. 20 cm

C. 30 cm

Correct D. 40 cm

Correct Answer: D

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Question 10

A magnet of magnetic moment 5 A m^2 is placed in a magnetic field of strength 2 T. If the angle between the magnet and the magnetic field is 30°, calculate the torque experienced by the magnet.

A. 0.5 N m

Correct B. 1 N m

C. 2 N m

D. 5 N m

Correct Answer: B

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Question 11

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 1000 Bq, what is the activity after 15 days?

Correct A. 250 Bq

B. 500 Bq

C. 1000 Bq

D. 2000 Bq

Correct Answer: A

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Question 12

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?

A. 30 μF

B. 40 μF

Correct C. 50 μF

D. 60 μF

Correct Answer: C

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Question 13

A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

B. 0.33

Correct C. 0.40

D. 0.50

Correct Answer: C

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Question 14

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

A. 5 V

Correct B. 10 V

C. 15 V

D. 20 V

Correct Answer: B

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Question 15

A particle of mass 1 kg is confined to a one-dimensional box of length 1 m. If the particle is in the ground state, what is the expectation value of its position?

Correct A. 0.5 m

B. 0.7 m

C. 0.9 m

D. 1.1 m

Correct Answer: A

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Question 16

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 0.02 F

Correct B. 0.04 F

C. 0.06 F

D. 0.08 F

Correct Answer: B

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Question 17

A block of mass 5 kg is placed on a horizontal, frictionless surface. A horizontal force of 10 N is applied to the block. If the block starts from rest, calculate its velocity after 2 s.

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 gas at 300 K expands from 0.05 m^3 to 0.1 m^3. Calculate 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 magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m. If the current is 5 A, calculate the force on the wire.

A. 0.5 N

B. 1 N

Correct C. 1.5 N

D. 2 N

Correct Answer: C

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Question 20

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position, calculate the potential energy stored in the spring.

A. 10 J

B. 20 J

Correct C. 30 J

D. 40 J

Correct Answer: C

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Question 21

A rigid body is in equilibrium under the action of three forces. Two of the forces are equal in magnitude and act along the x-axis, while the third force is equal in magnitude to the sum of the other two forces and acts along the y-axis. What is the angle between the y-axis and the resul\tant force?

A. 45°

B. 60°

C. 75°

Correct D. 90°

Correct Answer: D

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Question 22

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. 0.2 m/s

B. 0.4 m/s

Correct C. 0.6 m/s

D. 0.8 m/s

Correct Answer: C

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Question 23

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

A. 0.5 m

Correct B. 1.0 m

C. 1.5 m

D. 2.0 m

Correct Answer: B

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Question 24

A particle is moving in a circular path with a cons\tant speed of 4 m/s. The radius of the circle is 2 m. What is the magnitude of the acceleration of the particle?

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 25

A 100 W light bulb is connected to a 120 V power source. What is the current drawn by the light bulb?

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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