Physics

Problem

Consider the commonly used relation connecting the speed

v

of a mechanical wave with its wavelength

\lambda

and frequency

\nu

. a. (i) Write the dimensional formulae of

v

\lambda

and

\nu

. b. (ii) Using dimensional analysis, verify whether the relation

v=\lambda\nu

is dimensionally consistent. c. (iii) Re-express the same relation in terms of angular frequency

\omega

and wave number

k

, and again confirm its dimensional correctness.