A particle moves in the X-Y plane according to the equation The motion of the particle is

HC Verma - Concepts of Physics Part 1

Book: HC Verma - Concepts of Physics Part 1

Chapter: 12. Simple Harmonic Motion

Subject: Physics - Class 11^th

Q. No. 11 of Objective II

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11

A particle moves in the X-Y plane according to the equation The motion of the particle is

The Given Equation,

This is an equation of simple harmonic motion where, i + 2j is showing the direction of the of the Particle in a straight line.

Hence, the Motion is a straight line motion. Therefore, Option (a). is correct.

Now,

Except the direction mentioned which is showing straight line nature, rest of the equation is same as that of the S.H.M.,

therefore, it is S.H.M.

Now, Since, it is S.H.M., therefore it is Oscillatory and Periodic Motion.

Hence, option (a), (c) and (d) are correct.

1

Chapter Exercises

Short Answer

Objective I

Objective II

Exercises

1

Select the correct statements.

2

A particle moves in a circular path with a uniform speed. Its motion is

3

A particle is fastened at the end of a string and is whirled in a vertical circle with the other end of the string being fixed. The motion of the particle is

4

A particle moves in a circular path with a continuously increasing speed. Its motion is

5

The motion of a torsional pendulum is

6

Which of the following quantities are always negative in a simple harmonic motion?

7

Which of the following quantities are always positive in a simple harmonic motion?

8

Which of the following quantities are always zero in a simple harmonic motion?

9

Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel. The motion of the particle as seen from the earth is

10

For a particle executing simple harmonic motion, the acceleration is proportional to

11

A particle moves in the X-Y plane according to the equation The motion of the particle is

12

A particle moves on the X-axis according to the equation x = x₀ sin² ωt. The motion is simple harmonic

13

In a simple harmonic motion

14

In a simple harmonic motion

15

An object is released from rest. The time it takes to fall through a distance h and the speed of the object as it falls through this distance are measured with a pendulum clock. The entire apparatus is taken on the moon and the experiment is repeated

16

Which of the following will change the time period as they are taken to moon?