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On the basis of dimensions, decide which...

On the basis of dimensions, decide which of the following relation for the displacement of a particle undergoing simple harmonic motion is not correct :

A

`y = a sin 2pi t//T`

B

`y = a sin v t`

C

`y = (a)/(T) sin ((t)/(a))`

D

`y = a sqrt(2) ("sin" (2pi t)/(T) - "cos"(2pi t)/(T))`

Text Solution

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The correct Answer is:
B, C
Verfiy dimensional formula on `L.H.S` and `R.H.S`
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Knowledge Check

  • On the basis of dimensional, decide which of the following relation for the displacement of a particle undergoing simple harmonic motion is not correct :

    A
    `y = a sin 2 pi t//T`
    B
    `y =a sin upsilon t`
    C
    `y = (a)/(y) sin((t)/(a))`
    D
    `y= a sqrt2(sin(2pit)/(T) - cos(2pit)/(T))`

  • On the basis of dimensions , decide which of the following relatives for the displacement of a particle undergoing simple harmonic motion is not correct :

    A
    `y = a sin (2pit)/T`
    B
    `y = a sin vt`
    C
    `y = a/T sin((t)/(a))`
    D
    `y=a sqrt(2) (sin(2pit)/T - cos (2pit)/T)`

  • The velocity of a particle executing simple harmonic motion is

    A
    `omega^(2)sqrt(A^(2)+x^(2))`
    B
    `omegasqrt(A^(2)-x^(2))`
    C
    `omegasqrt(A^(2)+x^(2))`
    D
    `omega^(2)sqrt(A^(2)-x^(2))`

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