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The displacement of a progressive wave i...

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

Text Solution

Verified by Experts

The correct Answer is:
A
`y=Asin(omega-kx)`
As `(omegat-kx)` represents an angle which is dimensionless,
therefore
`[omega]=(1)/([t])=[T^(-1)] and [k]=(1)/([x])=[L^(-1)]`
`[(omega)/(k)]=([T^(-1)])/([L^(-1)])=[LT^(-1)]=velocity`
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Knowledge Check

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