Question

A wave travelling in a stretched string is described by the equation $y=A \sin (\omega t-k x)$. The maximum particle velocity is :

• A. Wave velocity is $\frac{\omega}{k}$
• B. Group velocity is $\frac{d \omega}{d k}$
• C. Wave velocity is $A \omega$
• D. Group velocity is $A \omega$

Answer 1

Answer: (A), (B)

Wave velocity of a simple harmonic propagating wave is given as $v=\omega / k$ and group velocity is the speed with which envelope of amplitude travels which is given as $v_{g}=\frac{d \omega}{d k}$.