Question

The speed of a wave of time period $T$ and propagation constant $K$ is

• A. $\frac{2\pi }{TK}$
• B. $\frac{TK}{2\pi }$
• C. $\frac{1}{TK}$
• D. $\frac{T}{K}$

Answer 1

The correct option is A $\frac{2\pi }{TK}$

velocity of a wave is $v=\frac{\lambda }{T}$
propagation constant $K$ and wavelength $\lambda$ are related as
$k=\frac{2\pi }{\lambda }\Rightarrow \lambda =\frac{2\pi }{k}$
$\therefore velocityv=\frac{\lambda }{T}=\frac{2\pi }{kT}$