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

Question

A wave travelling in a stretched string is described by the equation y=A sin (ω t-k x). The maximum particle velocity is : (A) Wave velocity is (ω/k) (B) Group velocity is (d ω/d k) (C) Wave velocity is A ω (D) Group velocity is A ω

Tardigrade Admin · Accepted Answer

Wave velocity of a simple harmonic propagating wave is given as v=ω / k and group velocity is the speed with which envelope of amplitude travels which is given as vg=(d ω/d k).

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

Wave velocity is $\frac{ω}{k}$

Group velocity is $\frac{d ω}{d k}$

Wave velocity is $A ω$

Group velocity is $A ω$

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

Q. A wave travelling in a stretched string is described by the equation y=Asin(ωt−kx). The maximum particle velocity is :

Wave velocity is kω​

Group velocity is dkdω​

Wave velocity is Aω

Group velocity is Aω