Question

The displacement of the particle of the medium in presence of a progressive wave is represented by y=Asin(wt-kx),where x is distance and r is time.Write the dimensional formula of w and k.​

Answer 1

We have to apply principle of homogeneity to solve this problem. Principle of homogeneity states that in a correct equation, the dimensions of each term added or subtracted must be same, i.e., dimensions of LHS and RHS should be equal.