The displacement of a travelling wave $y=C \sin \frac{2 \pi}{\lambda}(a t-x)$ where $t$ is time, $x$

Question

The displacement of a travelling wave $y=C \sin \frac{2 \pi}{\lambda}(a t-x)$ where $t$ is time, $x$ is distance and $\lambda$ is the wavelength, all in S.I. units. Then frequency of the wave is

Professor PC Thomas Classes · Answer

(d) : Given, $y=C \sin \frac{2 \pi}{\lambda}(a t-x)$ \ Equation of a travelling wave is given by \ $ y=a \sin (\omega t-k x) $ From equation (i) and (ii), \ $\omega=\frac{2 \pi a}{\lambda}$ As, $\omega=2 \pi v$ $ 2 \pi v=\frac{2 \pi a}{\lambda} 	ext { so, } v=\frac{a}{\lambda} $