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The displacement of a progressive wave i...

The displacement of a progressive wave is represented by `y=A sin(omega t-kx)` where `x` is distance and `t` is time.The dimensions of `(omega)/(k)` are same as those of (A) velocity (B) wave number ?

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Knowledge Check

  • The displacement of a progressive wave is represented by y=Asin(omegat-kx) where x is distance and t is time. The dimensions of (omega)/(k) are same as those of

    A
    velocity
    B
    wave number
    C
    wavelength
    D
    frequency

  • A progressive wave is represented by y = 5 sin(100pit - 2pix) where x and y are in m and t is in s. The maximum particle velocity is

    A
    `100pims^(-1)`
    B
    `200pims^(-1)`
    C
    `300pims^(-1)`
    D
    `500pims^(-1)`

  • In the relation y = r sin ( omega t - kx) , the dimensions of omega//k are

    A
    `[M^(0) L^(0) T^(0)]`
    B
    `[M^(0) L^(1) T^(-1)]`
    C
    `[M^(0) L^(0) T^(1)]`
    D
    `[M^(0) L^(1) T^(0)]`

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