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POST UTME ESUT 2017 Physics | Objective

Are you preparing for POST UTME ESUT 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 10 μF capacitor is connected in series with a 5 Ω resistor and a 120 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?

Correct A. \( 5 \sqrt{2} \) Ω

B. \( 5 \sqrt{3} \) Ω

C. \( 5 \sqrt{5} \) Ω

D. \( 5 \sqrt{6} \) Ω

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 the body is subjected to a force of 10 N, what is the acceleration of the body?

A. ( 2 ) m/s²

B. ( 5 ) m/s²

Correct C. ( 10 ) m/s²

D. ( 20 ) m/s²

Correct Answer: C

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Question 3

A 100 W heater is connected to a 220 V AC source. If the power factor of the heater is 0.8, what is the current drawn by the heater?

A. ( 0.5 ) A

B. ( 0.6 ) A

Correct C. ( 0.7 ) A

D. ( 0.8 ) A

Correct Answer: C

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Question 4

A 10 μF capacitor is connected in parallel with a 5 Ω resistor and a 120 V AC source. If the frequency of the source is 50 Hz, what is the current drawn by the capacitor?

A. ( 2 ) A

B. ( 3 ) A

C. ( 4 ) A

Correct D. ( 5 ) A

Correct Answer: D

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Question 5

A 100 W heater is connected to a 220 V AC source. If the power factor of the heater is 0.8, what is the power consumed by the heater?

A. ( 80 ) W

Correct B. ( 100 ) W

C. ( 120 ) W

D. ( 140 ) W

Correct Answer: B

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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. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, determine the equation of motion for the particle.

Correct A. x(t) = 0.2\cos\( \sqrt{100}t \)

B. x(t) = 0.2\sin\( \sqrt{100}t \)

C. x(t) = 0.2\cos\( \sqrt{100}t \) + 0.2

D. x(t) = 0.2\sin\( \sqrt{100}t \) + 0.2

Correct Answer: A

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Question 7

A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, determine the angle of re\fraction.

Correct A. 18°

B. 20°

C. 22°

D. 25°

Correct Answer: A

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Question 8

A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, determine the centripetal acceleration.

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 wave has a frequency of 50 Hz and a wavelength of 0.2 m. Determine 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 10

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, determine the equation of motion for the block.

Correct A. x(t) = 0.1\cos\( \sqrt{200}t \)

B. x(t) = 0.1\sin\( \sqrt{200}t \)

C. x(t) = 0.1\cos\( \sqrt{200}t \) + 0.1

D. x(t) = 0.1\sin\( \sqrt{200}t \) + 0.1

Correct Answer: A

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Question 11

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. 4 m/s^2

Correct B. 6 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Correct Answer: B

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Question 12

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

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 13

A gas is contained in a cylinder of volume 2 m^3 at a temperature of 300 K. If the temperature is increased to 400 K, what is the new volume of the gas?

A. 2.5 m^3

Correct B. 3 m^3

C. 3.5 m^3

D. 4 m^3

Correct Answer: B

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Question 14

A magnetic field of 0.5 T is directed perp\endicular to a current of 2 A. What is the magnitude of the force on a wire of length 1 m?

A. 0.5 N

Correct B. 1 N

C. 1.5 N

D. 2 N

Correct Answer: B

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Question 15

A nucleus of mass number 20 has a binding energy of 150 MeV. What is the average binding energy per nucleon?

A. 5 MeV/nucleon

B. 7 MeV/nucleon

Correct C. 7.5 MeV/nucleon

D. 10 MeV/nucleon

Correct Answer: C

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Question 16

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored on each plate?

A. 0.2 C

Correct B. 0.4 C

C. 0.6 C

D. 0.8 C

Correct Answer: B

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Question 17

A gas at 300 K expands from 10 L to 50 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 18

A lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm. What is the magnification of the lens?

A. 0.5

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 19

A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?

A. 5 years

Correct B. 10 years

C. 15 years

D. 20 years

Correct Answer: B

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Question 20

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the energy stored in the capacitor?

A. 0.4 J

B. 0.8 J

C. 1.2 J

Correct D. 1.6 J

Correct Answer: D

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

Correct A. 4 N

B. 6 N

C. 8 N

D. 10 N

Correct Answer: A

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Question 22

A block of mass 5 kg is attached to a horizontal, massless spring with a spring cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block as it oscillates?

A. 4 m/s

Correct B. 8 m/s

C. 12 m/s

D. 16 m/s

Correct Answer: B

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Question 23

A parallel plate capacitor consists of two plates, each of area 0.1 m^2 and separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 nF. If a potential difference of 5 V is applied across the plates, what is the magnitude of the electric field between the plates?

A. 200 V/m

B. 400 V/m

Correct C. 500 V/m

D. 600 V/m

Correct Answer: C

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Question 24

A magnetic field of magnitude 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.1 m. If the loop is carrying a current of 2 A, what is the magnitude of the magnetic moment of the loop?

Correct A. 0.02 π A.m^2

B. 0.04 π A.m^2

C. 0.06 π A.m^2

D. 0.08 π A.m^2

Correct Answer: A

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Question 25

A photon of energy 2 eV is incident on a metal surface with a work function of 1 eV. What is the maximum kinetic energy of the electron emitted?

A. 0.5 eV

Correct B. 1 eV

C. 1.5 eV

D. 2 eV

Correct Answer: B

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