The displacement of a progressive wave is represented by `y = A sin (omegat - kx),` where x is distance and t is time. Write the dimensional formula of (i) `omega` and (ii) k.

Explanation

Given, `y= A sin( omega t- kx)`
Argument of any trigonometric function is dimensionless
Here, both `omega` and kx are dimensionless
`[omega t]=1`
`implies [omega]= (1)/([t])=[T]^(-1)`
`=[M^(0)L^(0)T^(-1)]`
Also, `[kx]=1`
`[k]= (1)/([x])= [L^(-1)]`
`=[M^(0)L^(-1)T^(0)]`