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POST UTME FUTO 2021 Physics | Objective

Are you preparing for POST UTME FUTO exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

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, calculate the charge on the plates when a potential difference of 10 V is applied.

Correct A. 0.08 C

B. 0.16 C

C. 0.32 C

D. 0.64 C

Correct Answer: A

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Question 2

A body of mass 2 kg is moving with a velocity of 5 m/s. If it is subjected to a force of 10 N, calculate the acceleration produced.

A. 0.5 m/s^2

Correct B. 1.0 m/s^2

C. 2.0 m/s^2

D. 5.0 m/s^2

Correct Answer: B

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Question 3

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

A. 2 L

Correct B. 4 L

C. 6 L

D. 8 L

Correct Answer: B

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Question 4

A circuit consists of a 10 Ω resistor in series with a 20 Ω resistor. If a current of 2 A flows through the circuit, calculate the potential difference across the 10 Ω resistor.

Correct A. 10 V

B. 20 V

C. 30 V

D. 40 V

Correct Answer: A

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Question 5

A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, calculate the maximum kinetic energy of the emitted electron.

Correct A. 1.25 eV

B. 2.5 eV

C. 3.75 eV

D. 5.0 eV

Correct Answer: A

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Question 6

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1.2 atm, what is the final pressure?

A. 1.5 atm

Correct B. 1.8 atm

C. 2.0 atm

D. 2.2 atm

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. What is the magnitude of the centripetal 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 8

A beam of light passes from air into a glass of 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 9

A simple harmonic motion has a period of 2 s and an amplitude of 3 m. What is the angular frequency?

A. 1.5 rad/s

Correct B. 3.0 rad/s

C. 4.5 rad/s

D. 6.0 rad/s

Correct Answer: B

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Question 10

A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the probability density?

Correct A. A^2e^\( -2αx^2 \)

B. A^2e^\( -αx^2 \)

C. A^2e^\( αx^2 \)

D. A^2e^\( -2α^2x^2 \)

Correct Answer: A

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Question 11

A gas is enclosed in a vessel at a pressure of 1.5 atm. If the temperature is increased by 20°C, what is the new pressure of the gas, assuming the volume remains cons\tant?

A. 1.8 atm

Correct B. 2.1 atm

C. 2.5 atm

D. 3.0 atm

Correct Answer: B

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Question 12

A beam of light passes from air into a glass of 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 13

A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?

Correct A. 236

B. 238

C. 240

D. 242

Correct Answer: A

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Question 14

A spring with a spring cons\tant of 100 N/m is stretched by 0.2 m. What is the potential energy stored in the spring?

A. 2 J

Correct B. 4 J

C. 6 J

D. 8 J

Correct Answer: B

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Question 15

A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?

A. 1.25 eV

Correct B. 1.5 eV

C. 1.75 eV

D. 2.0 eV

Correct Answer: B

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Question 16

A particle of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subject to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 12 N

B. 24 N

Correct C. 36 N

D. 48 N

Correct Answer: C

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Question 17

A gas is contained in a cylinder of volume 2 m^3 at a pressure of 1 atm. If the temperature is increased by 20°C, what is the new pressure of the gas?

A. 1.2 atm

B. 1.5 atm

C. 2.0 atm

Correct D. 2.5 atm

Correct Answer: D

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Question 18

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 air resis\tance is negligible, what is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 19

A quantum particle is confined to a one-dimensional box of length 1 m. If the particle has an energy of 10 eV, what is the wavelength of the particle?

A. 0.1 nm

Correct B. 0.2 nm

C. 0.3 nm

D. 0.4 nm

Correct Answer: B

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Question 20

A vector has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If the vector is rotated by 60° counterclockwise, what is the new magnitude of the vector?

A. 4 units

B. 5 units

Correct C. 6 units

D. 7 units

Correct Answer: C

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Question 21

A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum voltage is 100 V, what is the average power dissipated in the resistor?

Correct A. 50 W

B. 100 W

C. 200 W

D. 500 W

Correct Answer: A

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Question 22

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. What is the magnitude of the centripetal acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 23

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 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. 0.5 m/s

B. 1 m/s

Correct C. 2 m/s

D. 4 m/s

Correct Answer: C

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Question 24

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 then separated by a dis\tance of 2 cm, what is the new capaci\tance?

A. 5 μF

Correct B. 10 μF

C. 20 μF

D. 50 μF

Correct Answer: B

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Question 25

A 100 Ω resistor is connected in series with a 200 Ω resistor and a 300 Ω resistor. If a 12 V battery is connected across the circuit, what is the current in the 100 Ω resistor?

A. 0.2 A

Correct B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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