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. `(pi a)/(5)`
B. `(2pi a)/(5)`
C. `(3pi a)/(5)`
D. `(4pi a)/(5)`

Answer

B

Explanation

`y = a sin 2pi [nt - (x)/(5)], (V_(p))/(V) =` ?
`(V_(p))/(V) = (A omega)/(n lamda) = (A xx 2pi n)/(n lamda)`
`(V_(p))/(V) = AK`
Here, `A = a and k = (2pi)/(5)`
`:. (V_(p))/(V) = a xx (2p)/(5) = (2pi a)/(5)`