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Figure below shows the wave y=Asin (omeg...


Figure below shows the wave `y=Asin (omegat-kx)` at any instant travelling in the `+ve` x-direction. What is the slope of the curve at B?

A

`omega//A`

B

`k//A`

C

`kA`

D

`omegaA`

Text Solution

Verified by Experts

The correct Answer is:
C
The particle velocity is maximum at B and is given by
`(dy)/(dt)=(v_p)_(max)=omegaA`
Also wave velocity is `(dx)/(dt)=v=(omega)/(k)`
so slope `(dy)/(dx)=((v_p)_(max))/(v)=kA`
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