Practice Post UTME UNIBEN physics 2021 Past Questions

Question 1

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If a potential difference of 10 V is applied across the plates, calculate the capaci\tance.

Correct A. 0.02 F

B. 0.01 F

C. 0.005 F

D. 0.001 F

Correct Answer: A

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Question 2

A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, calculate the acceleration.

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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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°, calculate the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 4

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, calculate the final pressure.

A. 1.33 atm

B. 1.5 atm

Correct C. 1.67 atm

D. 2 atm

Correct Answer: C

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Question 5

A simple harmonic motion has a time period of 2 s. If the amplitude is 5 cm, calculate the maximum acceleration.

A. 0.25 m/s^2

B. 0.5 m/s^2

C. 1 m/s^2

Correct D. 2 m/s^2

Correct Answer: D

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Question 6

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 7

A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the force exerted by the spring on the block at time $t$.

Correct A. -kx

B. kx

C. -\frac{k}{m}x

D. \frac{k}{m}x

Correct Answer: A

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Question 8

A particle of mass $m$ is moving in a circular path with radius $r$ and angular velocity $\omega$. Find the force exerted on the particle by the centripetal force.

Correct A. \frac{mv^2}{r}

B. \frac{mv}{r}

C. \frac{m}{r}

D. \frac{r}{mv}

Correct Answer: A

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Question 9

A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the kinetic energy of the block at time $t$.

Correct A. \frac{1}{2}kx^2

B. \frac{1}{2}kx

C. \frac{1}{2}mx^2

D. \frac{1}{2}mx

Correct Answer: A

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Question 10

A particle of mass $m$ is moving in a circular path with radius $r$ and angular velocity $\omega$. Find the potential energy of the particle.

Correct A. \frac{1}{2}m\omega^2r^2

B. \frac{1}{2}m\omega^2r

C. \frac{1}{2}mr^2

D. \frac{1}{2}mr

Correct Answer: A

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Question 11

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.

A. 1.0 m/s

Correct B. 2.0 m/s

C. 3.0 m/s

D. 4.0 m/s

Correct Answer: B

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Question 12

A wave has a frequency of 50 Hz and a wavelength of 2 m. Calculate the speed of the wave.

A. 100 m/s

B. 200 m/s

Correct C. 250 m/s

D. 300 m/s

Correct Answer: C

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Question 13

A body of mass 5 kg is moving with a velocity of 10 m/s. Calculate the work done by a force of 20 N acting on the body.

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 14

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in parallel. Calculate the equivalent resis\tance of the circuit.

A. 5 Ω

B. 10 Ω

Correct C. 15 Ω

D. 20 Ω

Correct Answer: C

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Question 15

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

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 16

A thermodynamic system undergoes a process from state A to state B. If the system's internal energy increases by 100 J and the work done on the system is 50 J, what is the heat transferred to the system?

A. 150 J

Correct B. 200 J

C. 250 J

D. 300 J

Correct Answer: B

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Question 17

A charged particle moves through a magnetic field. If the particle's velocity is 5 m/s and the magnetic field strength is 2 T, what is the force exerted on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 18

A body of mass 2 kg is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, what is the acceleration produced?

A. 5 m/s^2

Correct B. 10 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 19

A capacitor is connected to a battery of 12 V. If the capacitor's capaci\tance is 10 μF, what is the charge stored?

A. 120 μC

B. 150 μC

C. 180 μC

Correct D. 200 μC

Correct Answer: D

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Question 20

A body is in equilibrium under the action of three forces. If the body is displaced slightly, it returns to its original position. What can be concluded about the forces acting on the body?

Correct A. The forces are equal in magnitude and opposite in direction.

B. The forces are unequal in magnitude and opposite in direction.

C. The forces are equal in magnitude and parallel in direction.

D. The forces are unequal in magnitude and parallel in direction.

Correct Answer: A

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Question 21

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. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 22

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?

Correct A. 0.25 A

B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: A

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Question 23

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 24

A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 25

A 100 W bulb is connected to a 220 V power supply. What is the current flowing through the bulb?

A. 0.45 A

Correct B. 0.5 A

C. 0.55 A

D. 0.6 A

Correct Answer: B

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