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POST UTME ESUT 2025 Physics | Objective

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Question 1 View Details

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the centripetal acceleration.

Correct A. 10 m/s^2

B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: A

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Question 2 View Details

A block of mass 5 kg 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, calculate the maximum speed of the block.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 3 View Details

A \tank is filled with water to a height of 10 m. If a hole of area 0.01 m^2 is drilled at the bottom of the \tank, calculate the rate at which the water level will drop after 5 minutes.

A. 0.05 m/min

Correct B. 0.1 m/min

C. 0.15 m/min

D. 0.2 m/min

Correct Answer: B

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Question 4 View Details

A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 1 atm. If the gas undergoes an isothermal process, calculate the work done by the gas.

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 5 View Details

A wave of frequency 100 Hz and wavelength 0.5 m is traveling through a medium. If the wave is reflected from a fixed \end, calculate the amplitude of the reflected wave.

Correct A. 0.5 m

B. 1 m

C. 1.5 m

D. 2 m

Correct Answer: A

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Question 6 View Details

A particle of mass 2 kg is moving in a circular orbit of radius 3 m with a speed of 4 m/s. If the particle is subjected to a uniform magnetic field of strength 2 T, what is the magnitude of the magnetic force acting on the particle?

A. 8 N

Correct B. 16 N

C. 32 N

D. 64 N

Correct Answer: B

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Question 7 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 0.5 H. If the circuit is connected at t = 0, what is the current in the circuit at t = 2 s?

A. 0.5 A

B. 1 A

Correct C. 2 A

D. 4 A

Correct Answer: C

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Question 8 View Details

A wave of frequency 100 Hz and amplitude 0.5 m is traveling through a medium with a speed of 300 m/s. What is the wavelength of the wave?

A. 3 m

Correct B. 6 m

C. 9 m

D. 12 m

Correct Answer: B

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Question 9 View Details

A particle of mass 1 kg is moving in a simple harmonic motion with a frequency of 2 Hz and an amplitude of 0.5 m. What is the maximum speed of the particle?

A. 1 m/s

B. 2 m/s

Correct C. 3 m/s

D. 4 m/s

Correct Answer: C

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Question 10 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 0.5 H inductor. If the circuit is connected at t = 0, what is the current in the circuit at t = 2 s?

A. 0.5 A

B. 1 A

Correct C. 2 A

D. 4 A

Correct Answer: C

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Question 11 View Details

A 50 Hz, 200 V AC source is connected to a 100 Ω resistor. Calculate the rms value of the current flowing through the resistor.

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 12 View Details

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 100 V is applied across it, calculate the charge stored on each plate.

Correct A. 10^{-3} C

B. 10^{-2} C

C. 10^{-1} C

D. 10^{0} C

Correct Answer: A

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Question 13 View Details

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, calculate the activity after 10 years.

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 14 View Details

A magnetic field of 0.5 T is directed along the z-axis. A current of 2 A flows in a circular loop of radius 0.1 m. Calculate the magnetic moment of the loop.

Correct A. 0.0628 A m^2

B. 0.1256 A m^2

C. 0.25 A m^2

D. 0.5 A m^2

Correct Answer: A

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Question 15 View Details

A vector \vec{A} has a magnitude of 3 units and makes an angle of 60° with the x-axis. Calculate the x and y components of \vec{A}.

Correct A. A_x = 1.5, A_y = 2.598

B. A_x = 2.598, A_y = 1.5

C. A_x = 3, A_y = 0

D. A_x = 0, A_y = 3

Correct Answer: A

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Question 16 View Details

A 10 V battery is connected in series with a 5 Ω resistor and a 2 Ω resistor. The current in the circuit is 0.5 A. What is the potential difference across the 5 Ω resistor?

A. 2.5 V

B. 5 V

Correct C. 7.5 V

D. 10 V

Correct Answer: C

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Question 17 View Details

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

Correct A. 25 Bq

B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: A

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Question 18 View Details

A 50 Hz AC voltage source is connected to a 20 Ω resistor. What is the impedance of the circuit?

A. 20 Ω

Correct B. 40 Ω

C. 60 Ω

D. 80 Ω

Correct Answer: B

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Question 19 View Details

A vector has a magnitude of 5 m and makes an angle of 30° with the x-axis. What is the y-component of the vector?

Correct A. 2.5 m

B. 4 m

C. 5 m

D. 6.25 m

Correct Answer: A

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Question 20 View Details

A gas has a pressure of 100 kPa and a volume of 2 m³. What is the temperature of the gas?

A. 300 K

B. 400 K

Correct C. 500 K

D. 600 K

Correct Answer: C

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Question 21 View Details

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. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 22 View Details

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 23 View Details

A radioactive sample has a half-life of 10 days. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 30 days?

A. 100 Bq

B. 200 Bq

Correct C. 500 Bq

D. 1000 Bq

Correct Answer: C

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Question 24 View Details

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

A. -1

Correct B. -0.5

C. 0.5

D. 1

Correct Answer: B

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Question 25 View Details

A magnetic field of magnitude 0.5 T is directed perp\endicular to the plane of a circular coil of radius 10 cm. If the coil carries a current of 2 A, what is the magnitude of the torque experienced by the coil?

A. 0.1 Nm

B. 0.2 Nm

Correct C. 0.3 Nm

D. 0.4 Nm

Correct Answer: C

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