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POST UTME LEAD CITY UNIVERSITY 2017 Physics | Objective

Are you preparing for POST UTME LEAD CITY UNIVERSITY 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 particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.

A. 0.2 m/s

B. 2 m/s

Correct C. 4 m/s

D. 6 m/s

Correct Answer: C

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Question 2

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the current flowing through the circuit.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 3 A

Correct Answer: B

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Question 3

A photon of energy 2.5 eV is incident on a metal surface with a work function of 2 eV. Calculate the maximum kinetic energy of the photoelectron.

A. 0.5 eV

B. 1 eV

Correct C. 1.5 eV

D. 2 eV

Correct Answer: C

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Question 4

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Calculate the centripetal 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 5

A circuit consists of a 9 V battery, a 2 Ω resistor, and a 3 Ω resistor connected in parallel. Calculate the total resis\tance of the circuit.

A. 1.5 Ω

Correct B. 2.5 Ω

C. 3.5 Ω

D. 4.5 Ω

Correct Answer: B

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Question 6

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. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 7

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 as it passes through the equilibrium position?

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 8

A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capacitor is charged to a potential difference of 10 V. What is the capaci\tance of the capacitor?

A. 0.01 F

Correct B. 0.1 F

C. 1 F

D. 10 F

Correct Answer: B

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Question 9

A magnetic field of magnitude 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.2 m. The loop is carrying a current of 2 A. What is the magnitude of the torque acting on the loop?

A. 0.1 Nm

B. 0.2 Nm

Correct C. 0.3 Nm

D. 0.4 Nm

Correct Answer: C

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Question 10

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 photoelectron?

A. 0.5 eV

B. 1 eV

Correct C. 1.5 eV

D. 2 eV

Correct Answer: C

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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 force?

A. 8 N

Correct B. 12 N

C. 16 N

D. 24 N

Correct Answer: B

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Question 12

A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. 1 μF

B. 2 μF

Correct C. 4 μF

D. 8 μF

Correct Answer: C

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Question 13

A ray of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20°, what is the angle of re\fraction?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 14

A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). If the probability of finding the particle in the region x = 0 to x = 1 is 0.5, what is the value of α?

A. 0.5

B. 1

Correct C. 2

D. 4

Correct Answer: C

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Question 15

A circuit consists of a 12 Ω resistor, a 20 Ω resistor, and a 10 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

B. 1 A

Correct C. 2 A

D. 4 A

Correct Answer: C

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Question 16

A lens has a focal length of 20 cm and is used to form an image of an object placed 30 cm away. If the object is moved to a dis\tance of 40 cm, what is the new image dis\tance?

A. 10 cm

B. 20 cm

Correct C. 30 cm

D. 40 cm

Correct Answer: C

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Question 17

A wave function is given by ψ(x) = Ae^\( i\( kx - ωt \ \)). If the wave number is 2π rad/m and the angular frequency is 3π rad/s, what is the frequency of the wave?

A. 1 Hz

B. 2 Hz

Correct C. 3 Hz

D. 4 Hz

Correct Answer: C

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Question 18

A gas is enclosed in a container at a pressure of 2.5 atm. If the pressure is increased to 4.0 atm, what is the new volume of the gas, given that the temperature remains cons\tant and the gas obeys Boyle's Law?

A. 0.5 L

B. 1.0 L

Correct C. 2.0 L

D. 4.0 L

Correct Answer: C

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Question 19

A block of mass 5.0 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.20 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 0.50 m/s

B. 1.0 m/s

Correct C. 2.0 m/s

D. 4.0 m/s

Correct Answer: C

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Question 20

A 100 W light bulb is connected to a 120 V power source. What is the current drawn by the bulb?

A. 0.50 A

Correct B. 1.0 A

C. 2.0 A

D. 4.0 A

Correct Answer: B

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Question 21

A \tank contains 100 L of water at a temperature of 20°C. If 10 L of water at 80°C is added to the \tank, what is the final temperature of the water in the \tank?

A. 22°C

B. 25°C

Correct C. 28°C

D. 30°C

Correct Answer: C

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Question 22

A 50 kg block is pulled up a 10 m long ramp at a cons\tant speed. If the force applied to the block is 100 N, what is the work done on the block?

A. 500 J

Correct B. 1000 J

C. 2000 J

D. 5000 J

Correct Answer: B

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Question 23

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 12 N, what is the magnitude of the acceleration of the particle?

A. 8 m/s^2

Correct B. 16 m/s^2

C. 24 m/s^2

D. 32 m/s^2

Correct Answer: B

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Question 24

A light ray 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?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 25

A heat engine operates between two temperatures of 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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