Question

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)`

Answer 1

Correct Answer - A
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`