question_answer 65)

                  The displacement of a progressive wave is represented \[y=A\sin (wt-k\chi ),\] where \[x\] is distance and t is time. Write the dimensional formula of (i) w and (ii) k.                

Answer:

                  \[wt=\] dimensionless or \[w\text{ }=\frac{1}{t}=[{{T}^{-1}}]\]                 \[kx=\] dimensionless or \[k=\frac{1}{\chi }=[{{T}^{-1}}]\]