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POST UTME LASU 2019 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 force of 12 N, what is the angular velocity of the particle?

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 2

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 3

A body of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If it experiences a uniform acceleration of 2 m/s^2, what is its velocity after 5 seconds?

A. 20 m/s

B. 25 m/s

Correct C. 30 m/s

D. 35 m/s

Correct Answer: C

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Question 4

A simple harmonic motion has a maximum displacement of 0.5 m and a time period of 2 s. What is the angular frequency of the motion?

A. 1 rad/s

Correct B. 2 rad/s

C. 3 rad/s

D. 4 rad/s

Correct Answer: B

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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° to the horizontal. What is the maximum height reached by the projectile?

A. 5 m

Correct B. 10 m

C. 15 m

D. 20 m

Correct Answer: B

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Question 6

A gas is enclosed in a cylinder with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will happen to the volume of the gas?

A. The volume will decrease

Correct B. The volume will increase

C. The volume will remain cons\tant

D. The volume will increase and then decrease

Correct Answer: B

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Question 7

A block of mass 2 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and then released. What is the maximum speed of the block?

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 8

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

A. 10 Bq

B. 20 Bq

Correct C. 50 Bq

D. 100 Bq

Correct Answer: C

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Question 9

A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 2 m/s, what is the magnitude of the centripetal force acting on the particle?

A. 2 N

Correct B. 4 N

C. 6 N

D. 8 N

Correct Answer: B

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Question 10

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across the plates, what is the energy stored in the capacitor?

A. 0.05 J

Correct B. 0.1 J

C. 0.2 J

D. 0.5 J

Correct Answer: B

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Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $). What is the expectation value of the position operator for this particle?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{3}

Correct Answer: A

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Question 12

A block of mass $M$ is placed on a frictionless surface and connected to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

Correct A. \sqrt{\frac{k}{M}}

B. \frac{k}{M}

C. \frac{M}{k}

D. \sqrt{\frac{M}{k}}

Correct Answer: A

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Question 13

A \tank of volume $V$ contains a liquid of density $\rho$ and a small hole of area $A$ at the bottom. The liquid is flowing out of the \tank at a rate given by Torricelli's law. What is the speed of the liquid at the hole?

Correct A. \sqrt{\frac{2gh}{\rho}}

B. \frac{2gh}{\rho}

C. \frac{\rho}{2gh}

D. \sqrt{\frac{\rho}{2gh}}

Correct Answer: A

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Question 14

A wire of length $L$ and cross-sectional area $A$ is stretched by a force $F$. What is the tension in the wire?

Correct A. \frac{F}{A}

B. \frac{A}{F}

C. \frac{L}{F}

D. \frac{F}{L}

Correct Answer: A

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Question 15

A sound wave of frequency $f$ and amplitude $A$ is traveling through a medium of density $\rho$ and speed of sound $v$. What is the intensity of the sound wave?

Correct A. \frac{1}{2} \rho v A^2 \omega^2

B. \frac{1}{2} \rho v A^2 f^2

C. \frac{1}{2} \rho v A^2 \omega

D. \frac{1}{2} \rho v A^2 f

Correct Answer: A

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Question 16

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 statements is true about the change in the gas's volume?

A. The volume of the gas decreases.

Correct B. The volume of the gas increases.

C. The volume of the gas remains cons\tant.

D. The volume of the gas becomes negative.

Correct Answer: B

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Question 17

A magnetic field is produced by a current-carrying wire. If the current in the wire is doubled, what happens to the magnetic field?

A. The magnetic field increases by a factor of 2.

Correct B. The magnetic field increases by a factor of 4.

C. The magnetic field remains the same.

D. The magnetic field decreases by a factor of 2.

Correct Answer: B

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Question 18

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 19

A vector has a magnitude of 5 units and a direction of 30° above the horizontal. What is the x-component of the vector?

Correct A. 4.33 units

B. 4.65 units

C. 5.00 units

D. 5.36 units

Correct Answer: A

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Question 20

A nucleus has a mass number of 240 and an atomic number of 92. What is the number of protons in the nucleus?

Correct A. 92

B. 120

C. 240

D. 360

Correct Answer: A

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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 force of 12 N, what is the magnitude of the 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 22

A gas at a pressure of 2 atm and a temperature of 300 K is allowed to expand to a volume of 5 L. If the gas is ideal, what is the final pressure of the gas?

A. 1 atm

Correct B. 1.5 atm

C. 2 atm

D. 2.5 atm

Correct Answer: B

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Question 23

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

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 24

A block of mass 5 kg is moving with a velocity of 2 m/s. If it is subjected to a force of 10 N, what is the acceleration of the block?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 3 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 25

A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 9 N, what is the magnitude of the acceleration of the particle?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 3 m/s^2

D. 4 m/s^2

Correct Answer: C

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