Home
Class 12
PHYSICS
Which of the following relationships bet...

Which of the following relationships between the acceleration a and the displacementx of a particle involve simple harmonic motion?
(a) `a=0.7 x`
(b) `a=-200 x^(2)`
(c) `a = -10 x`
(d) `a = 100 x^(2)`.

A

a=0.7x

B

`a=200x^(2)`

C

a=-10x

D

`a=100x^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`a=omega^(2)x`for SHM
Only C satisfies this condition.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise LEVEL (2)|40 Videos

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 6-previous year question|56 Videos

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise LEVEL 0 LONG ANSWER TYPE|2 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive) (True/False Type)|3 Videos

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE F|10 Videos

Similar Questions

Explore conceptually related problems

Which of the following relationship between the acceleration, a and the displacement x of a particle involve simple harmonic motion. (a) a=7.0x (b) a=-200x^(2) (c) a=-10x (d) a=100x^(3)

Which one of the following statement is true for the speed v and the acceleration a of a particle executing simple harmonic motion?

Knowledge Check

  • Which of the following relationships between the acceleration a and the displacement x of a particle executing simple harmonic motion?

    A
    `a=2x^(2)`
    B
    `a=-2x^(2)`
    C
    `a=2x`
    D
    `a=-2x`

  • Which one of the following statement is true for the speed v and the acceleration a of a particle executing simple harmonic motion?

    A
    when v is maximum, a is zero
    B
    when x is zero, a is zero
    C
    when v is maximum, a is maximum
    D
    value of a is zero, whatever may be the value of v.

  • The ralation between acceleration and displacement of four particles are given below which one of the particles is executing simple harmonic motion?

    A
    `a_(x)=+2x`
    B
    `a_(x)=+2x^(2)`
    C
    `a_(x)=-2x^(2)`
    D
    `a_(x)=-2x`

    • Similar Questions

    Explore conceptually related problems

    Which of the following relationship between the force F on a particle's position 'x' implies simple harmonic oscillation?

    The total energy of a particle having a displacement x, executing simple harmonic motion is

    The relation between acceleration and displacement of four partical are given below Which, one of the particle is exempting simple harmonic motion ?

    The acceleration-displacement (a-X) graph of a particle executing simple harmonic motion is shown in the figure. Find the frequency of oscillation.

    The velocity v and displacement x of a particle executing simple harmonic motion are related as v (dv)/(dx)= -omega^2 x . At x=0, v=v_0. Find the velocity v when the displacement becomes x.

    Home
    Profile