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POST UTME UNILORIN 2018 Physics | Objective

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Question 1

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. 10 N

Correct B. 12 N

C. 8 N

D. 6 N

Correct Answer: B

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Question 2

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 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 4 m/s

B. 6 m/s

Correct C. 8 m/s

D. 10 m/s

Correct Answer: C

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Question 3

A \tank is filled with water to a height of 4 m. If a small hole of area 0.01 m^2 is made at the bottom of the \tank, what is the rate at which the water level will drop?

A. 0.04 m/s

Correct B. 0.08 m/s

C. 0.12 m/s

D. 0.16 m/s

Correct Answer: B

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Question 4

A car is traveling at a speed of 25 m/s when the brakes are applied. If the car is brought to rest in a dis\tance of 50 m, what is the magnitude of the acceleration of the car?

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 projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 100 m away from the launch point, what is the maximum height reached by the projectile?

A. 15 m

B. 20 m

Correct C. 25 m

D. 30 m

Correct Answer: C

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Question 6

A particle of mass m is confined to a one-dimensional box of length L. The wave function of the particle is given by ψ(x) = √\( 2/L \) * \sin\( nπx/L \), where n is a positive integer. What is the expectation value of the position operator x?

A. L/2

B. nπL/2

Correct C. n^2π^2L^2/12

D. nπL/2

Correct Answer: C

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Question 7

A sound wave with frequency 100 Hz and amplitude 0.1 m is traveling through a medium with speed 343 m/s. What is the wavelength of the sound wave?

Correct A. 3.43 m

B. 0.0343 m

C. 343 m

D. 0.00143 m

Correct Answer: A

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Question 8

A beam of light is incident on a prism with an angle of incidence 30°. The angle of re\fraction is 20°. What is the angle of deviation?

Correct A. 10°

B. 20°

C. 30°

D. 40°

Correct Answer: A

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Question 9

A simple harmonic motion has a period 2 s and an amplitude 0.5 m. What is the angular frequency?

A. 1.57 rad/s

Correct B. 3.14 rad/s

C. 6.28 rad/s

D. 10 rad/s

Correct Answer: B

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Question 10

A particle of mass m is moving in a circular path with radius r. The force acting on the particle is given by F = \( k/r^2 \) * r, where k is a cons\tant. What is the acceleration of the particle?

Correct A. k/m

B. k/r

C. k/r^2

D. k/r^3

Correct Answer: A

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Question 11

A 2.5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming no heat loss to the surroundings, calculate the time it takes for the ice to melt completely.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 12

A 100 Ω resistor is connected in series with a 20 Ω resistor and a 50 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 100 Ω resistor?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 13

A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, 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 14

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

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 15

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. Calculate the wavelength of the sound wave.

A. 1.7 m

B. 1.8 m

C. 1.9 m

Correct D. 2.0 m

Correct Answer: D

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Question 16

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the combination, what is the current flowing through the 10 Ω resistor?

Correct A. 0.4 A

B. 0.6 A

C. 0.8 A

D. 1.2 A

Correct Answer: A

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Question 17

A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across it, what is the charge stored on the plates?

A. 20 μC

Correct B. 40 μC

C. 60 μC

D. 80 μC

Correct Answer: B

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Question 18

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is its maximum kinetic energy?

A. 10 J

B. 20 J

Correct C. 30 J

D. 40 J

Correct Answer: C

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Question 19

A light wave has a frequency of 5 × 10^14 Hz and a wavelength of 600 nm. What is its speed?

A. 3 × 10^8 m/s

B. 4 × 10^8 m/s

Correct C. 5 × 10^8 m/s

D. 6 × 10^8 m/s

Correct Answer: C

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Question 20

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 its kinetic energy?

A. 16 J

B. 32 J

Correct C. 48 J

D. 64 J

Correct Answer: C

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Question 21

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.

A. 4 m/s^2

B. 6 m/s^2

Correct C. 8 m/s^2

D. 10 m/s^2

Correct Answer: C

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Question 22

A heat engine operates between two temperatures, 500 K and 300 K. If the engine absorbs 200 J of heat from the high-temperature reservoir, calculate the efficiency of the engine.

A. 0.25

Correct B. 0.33

C. 0.4

D. 0.5

Correct Answer: B

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Question 23

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, calculate the time of flight.

A. 2 s

Correct B. 3 s

C. 4 s

D. 5 s

Correct Answer: B

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Question 24

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. If the motion starts from its equilibrium position, calculate the displacement at time t = 2 s.

A. 0.5 m

B. 1 m

Correct C. 1.5 m

D. 2 m

Correct Answer: C

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Question 25

A magnetic field of 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.2 m. If the loop carries a current of 2 A, calculate the magnitude of the magnetic moment.

A. 0.1 A·m^2

Correct B. 0.2 A·m^2

C. 0.3 A·m^2

D. 0.4 A·m^2

Correct Answer: B

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