Question

Define wave velocity. Deduce the relation with angular frequency omega and propagation constant k

Answer 1

Dear Student,

Wave velocity means how fast does a given phase is moving at a given frequency .It is given by

$v=\lambda f(\lambda =wavelength,f=freuencyofwave)$

$$\begin{gathered} Wavecons\tan t \\ k=\frac{2\pi }{\lambda }----1 \\ \omega =2\pi f-----2 \\ dividing2by1 \\ \frac{\omega }{k}=\lambda f \\ (u\sin gv=\lambda f) \\ \omega =v\times f \end{gathered}$$

Regards