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The equation of the progressive wave is ...

The equation of the progressive wave is y =a `sin pi (nt -(x)/(5))` the ratio maximum paritcle velocity to wave velocity is

A

`(pi a)/(5)`

B

`(2pi a)/(5)`

C

`(3pi a)/(5)`

D

`(4pia)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
c
We have
y = a sin `2pi(nt-(x)/(5))`
here vi is wave velocity
`u_(max)/(v)=(2pia)/(lambda)=(2pia)/(5)[therefore k=(2pi)/(lambda)]`
`lambda=(2pi)/(k)=(2pi)/(2pi//5)=5`
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