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POST UTME UI 2017 Physics | Objective

Are you preparing for POST UTME UI 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 2-pole, 4-wire, star-connected alternator has a rated voltage of 400 V and a rated current of 50 A. If the alternator is operating at a frequency of 50 Hz, calculate the value of the synchronous impedance per phase.

Correct A. \frac{400\angle0^\circ}{50\angle0^\circ} = 8\angle0^\circ\Omega

B. \frac{400\angle0^\circ}{50\angle0^\circ} = 8\angle90^\circ\Omega

C. \frac{400\angle0^\circ}{50\angle0^\circ} = 8\angle180^\circ\Omega

D. \frac{400\angle0^\circ}{50\angle0^\circ} = 8\angle270^\circ\Omega

Correct Answer: A

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Question 2

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 subject to a centripetal force of 10 N, calculate the time taken by the particle to complete one revolution.

A. \frac{2\pi\sqrt{3}}{4}

Correct B. \frac{2\pi\sqrt{3}}{2}

C. \frac{2\pi\sqrt{3}}{8}

D. \frac{2\pi\sqrt{3}}{16}

Correct Answer: B

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Question 3

A capacitor of capaci\tance 10 μF is connected in parallel with a resistor of resis\tance 20 Ω. If a voltage of 100 V is applied across the circuit, calculate the current flowing through the resistor.

Correct A. \frac{100}{20} = 5 A

B. \frac{100}{10} = 10 A

C. \frac{100}{20} = 10 A

D. \frac{100}{10} = 5 A

Correct Answer: A

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Question 4

A 100 W bulb is connected to a 230 V mains supply. If the bulb is rated for 10 hours of use, calculate the energy consumed by the bulb in kWh.

A. \frac{100\times10}{230\times1000} = 0.0435 kWh

Correct B. \frac{100\times10}{230\times1000} = 0.435 kWh

C. \frac{100\times10}{230\times1000} = 4.35 kWh

D. \frac{100\times10}{230\times1000} = 43.5 kWh

Correct Answer: B

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Question 5

A block of mass 5 kg is placed on a frictionless surface and given an initial velocity of 10 m/s. If the block is subject to a force of 20 N, calculate the time taken by the block to come to rest.

Correct A. \frac{10}{20}

B. \frac{10}{20}

C. \frac{10}{20}

D. \frac{10}{20}

Correct Answer: A

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Question 6

A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following gas laws best describes this situation?

A. Charles' Law

Correct B. Gay-Lussac's Law

C. Boyle's Law

D. Avogadro's Law

Correct Answer: B

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Question 7

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

A. 8 m/s^2

B. 16 m/s^2

Correct C. 24 m/s^2

D. 32 m/s^2

Correct Answer: C

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Question 8

A parallel plate capacitor has a capaci\tance of 10 μF. The potential difference between the plates is 5 V. What is the charge stored on the capacitor?

A. 50 μC

Correct B. 100 μC

C. 150 μC

D. 200 μC

Correct Answer: B

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Question 9

A thermodynamic system undergoes a process in which its internal energy remains cons\tant. What is the work done by the system during this process?

A. Positive

B. Negative

Correct C. Zero

D. Dep\ends on the system

Correct Answer: C

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Question 10

A point charge of 2 μC is placed at the center of a spherical surface of radius 0.5 m. What is the electric flux through the surface?

Correct A. 1.1 x 10^6 Nm^2/C

B. 2.2 x 10^6 Nm^2/C

C. 3.3 x 10^6 Nm^2/C

D. 4.4 x 10^6 Nm^2/C

Correct Answer: A

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Question 11

A uniform magnetic field of magnitude 2.0 T is directed along the z-axis. A current of 5.0 A flows in a circular loop of radius 0.20 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.10 A m^2

Correct B. 0.20 A m^2

C. 0.30 A m^2

D. 0.40 A m^2

Correct Answer: B

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Question 12

A ray of light passes from air into a glass slab 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 10 Ω resistor is connected in series with a 20 mH inductor and a 5 μF capacitor. The circuit is driven by a 10 V AC source of frequency 50 Hz. What is the impedance of the circuit?

A. 15 Ω

B. 20 Ω

Correct C. 25 Ω

D. 30 Ω

Correct Answer: C

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Question 14

A particle of mass 2 kg is moving in a circular path of radius 5 m with a speed of 10 m/s. What is the magnitude of the centripetal force acting on the particle?

A. 20 N

B. 30 N

Correct C. 40 N

D. 50 N

Correct Answer: C

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Question 15

A photon of energy 2.5 eV is incident on a metal surface with work function 1.8 eV. What is the maximum kinetic energy of the photoelectron?

A. 0.2 eV

B. 0.5 eV

Correct C. 0.8 eV

D. 1.0 eV

Correct Answer: C

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

A. 6 N

Correct B. 8 N

C. 10 N

D. 12 N

Correct Answer: B

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Question 17

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 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 18

A \tank contains 1000 kg of water at a pressure of 2 atm. If the temperature of the water is increased by 10°C, what is the new pressure of the water?

A. 2.2 atm

Correct B. 2.5 atm

C. 3.0 atm

D. 3.5 atm

Correct Answer: B

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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 circuit is closed, what is the current flowing through the 4 Ω resistor?

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 20

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

A. 2.5 m^3

Correct B. 3.0 m^3

C. 3.5 m^3

D. 4.0 m^3

Correct Answer: B

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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. What is the magnitude of the centripetal acceleration of the particle?

A. 10 m/s^2

B. 12 m/s^2

Correct C. 15 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 22

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm. If the pressure is increased to 3.0 atm, what is the new volume of the gas?

A. 1.5 L

Correct B. 2.0 L

C. 2.5 L

D. 3.0 L

Correct Answer: B

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Question 23

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 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 across it?

A. 10^-5 C

Correct B. 10^-6 C

C. 10^-7 C

D. 10^-8 C

Correct Answer: B

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Question 24

A heat engine operates between the temperatures of 300 K and 400 K. If the efficiency of the engine is 30%, what is the maximum possible work output of the engine?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 25

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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