Exam Body

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Subject

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POST UTME UNIBEN 2024 Physics | Objective

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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 magnitude of the force acting on the particle?

Correct A. 8 N

B. 10 N

C. 12 N

D. 16 N

Correct Answer: A

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Question 2

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

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 3

A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. If the capaci\tance is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied?

Correct A. 10^-5 C

B. 10^-6 C

C. 10^-7 C

D. 10^-8 C

Correct Answer: A

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Question 4

A particle of mass 1 kg is confined to a one-dimensional box of length 0.1 m. What is the ground-state energy of the particle?

A. 10^-22 J

Correct B. 10^-21 J

C. 10^-20 J

D. 10^-19 J

Correct Answer: B

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Question 5

A sound wave has a frequency of 200 Hz and a speed of 340 m/s. What is the wavelength of the 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 6

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 7

A 200 V, 50 Hz AC supply is connected across a 20 Ω resistor. Calculate the rms value of the current flowing through the resistor.

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 8

A body of mass 5 kg is moving with a velocity of 10 m/s. It is subjected to a force of 20 N. Calculate the acceleration of the body u\sing Newton's second law.

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 9

A gas is heated from 300 K to 400 K at cons\tant volume. Calculate the change in internal energy of the gas.

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 10

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. A voltage of 50 V is applied across the circuit. Calculate the current flowing through the circuit.

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 11

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, what is the value of the dielectric cons\tant?

A. 1.0

Correct B. 2.0

C. 3.0

D. 4.0

Correct Answer: B

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Question 12

A radioactive sample has a half-life of 10 days. If the initial activity is 100 Bq, what is the activity after 30 days?

A. 10 Bq

Correct B. 20 Bq

C. 30 Bq

D. 40 Bq

Correct Answer: B

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Question 13

A thermodynamic system undergoes a process from state A to state B. If the initial temperature is 300 K and the final temperature is 400 K, what is the change in entropy?

A. 100 J/K

B. 200 J/K

Correct C. 300 J/K

D. 400 J/K

Correct Answer: C

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Question 14

A magnetic field is produced by a current-carrying wire. If the current is 2 A and the length of the wire is 0.5 m, what is the magnetic field strength?

A. 0.1 T

Correct B. 0.2 T

C. 0.3 T

D. 0.4 T

Correct Answer: B

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Question 15

A vector has a magnitude of 5 m and a direction of 30°. If the vector is multiplied by a scalar of 2, what is the new magnitude?

A. 5 m

Correct B. 10 m

C. 15 m

D. 20 m

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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 17

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, what is the final pressure?

A. 1 atm

Correct B. 2 atm

C. 3 atm

D. 4 atm

Correct Answer: B

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Question 18

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. If the object is moved 10 cm closer to the lens, what is the new image dis\tance?

A. 20 cm

B. 30 cm

C. 40 cm

Correct D. 50 cm

Correct Answer: D

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Question 19

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current is 2 A, what is the total resis\tance?

A. 8 Ω

B. 10 Ω

Correct C. 12 Ω

D. 16 Ω

Correct Answer: C

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Question 20

A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If vector B has a magnitude of 3 units and makes an angle of 60° with the positive x-axis, what is the magnitude of the resul\tant vector A + B?

A. 4 units

B. 5 units

Correct C. 6 units

D. 7 units

Correct Answer: C

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Question 21

A 2.5 m long wire of resis\tance 3.5 Ω is stretched to a length of 5 m. Calculate the new resis\tance of the wire, given that the resistivity of the material is 1.8 × 10^\( -8 \) Ωm.

A. 5.6 Ω

Correct B. 6.2 Ω

C. 7.1 Ω

D. 8.5 Ω

Correct Answer: B

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Question 22

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the maximum speed of the particle.

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 convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. Calculate the magnification of the image.

A. -0.5

B. -0.6

Correct C. -0.7

D. -0.8

Correct Answer: C

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Question 24

A 100 W light bulb is connected to a 220 V power source. Calculate the current drawn by the bulb.

A. 0.4 A

Correct B. 0.5 A

C. 0.6 A

D. 0.7 A

Correct Answer: B

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Question 25

A 2 kg block is attached to a horizontal, massless spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the time taken by the block to reach its maximum speed.

A. 0.2 s

Correct B. 0.4 s

C. 0.6 s

D. 0.8 s

Correct Answer: B

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