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

Options

A. `(pia)/(5)`
B. `(2pia)/(5)`
C. `(3pia)/(5)`
D. `(4pia)/(5)`

Answer

B

Explanation

`(v_(P))_(max)=axx2pin`
and `v=(omega)/(k)=(2pin)/(2pi//5)`
= 5n
Now, `((v_(P))_(max))/(v)=(2pian)/(5n)`
`=(2pia)/(5)`