The equation of wave is given by Y=ASinω{(x/v)-k}, where ω is the angular velocity and v is the linear velocity. The dimensions of k is

As we learnt in

Check the dimensional correctness -

$\dpi{100} L.H.S.=R.H.S.$

- wherein

It is based on the principle of homogeneity. According to this principle both sides of an equation must be the same .

From principle of homogeneity $(\frac{x}{v})$has dimension of T.

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