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The equation of a wave is given by Y = A...

The equation of a wave is given by `Y = A sin omega ((x)/(v) - k)`, where `omega` is the angular velocity and `v` is the linear velocity. Find the dimension of `k`.

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Knowledge Check

  • A point performs simple harmonic oscillation of period T and the equation of motion is given by x= a sin(omega t+(pi)/(6)) . After the elapse of what fraction of the time period, the velocity of the point will be equal to half of its maximum velocity?

    A
    `(T)/(3)`
    B
    `(T)/(12)`
    C
    `(T)/(8)`
    D
    `(T)/(6)`

  • In the equation of motion of waves in x-direction is given by y= 10^(-4) sin(600t-2x+(pi)/(3)) where x and y are in metre and t is in second, then the velocity of wave will be………… ms^(-1) .

    A
    300
    B
    600
    C
    1200
    D
    200

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