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Which of the following relationship bet...

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)`

Text Solution

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In S.H.M., acceleration a is related to displacement by the relation of the form `a=-kx`, which is for relation (c).
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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 of the following relationships between the acceleration 'a' and the displacement x' of a particle involve S.H.M.?

    A
    a = 0.7 x
    B
    `a = - 200 x^2`,
    C
    `a = -10 x,`
    D
    `100 x^3`

  • Which of the following relationships between the acceleration 'a' and the displacement x' of a particle involves S.H.M.?

    A
    a = 0.7 x
    B
    `a = - 20x,`
    C
    `a= - 10 x`,
    D
    `a = 100x^2`

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