The equation of a simple harmonic wave is given by
`y = 3 sin"(pi)/(2) (50t - x)`
where `x` and `y` are in meters and `x` is in second .The ratio of maximum particle velocity to the wave velocity is

Options

A. `(3)/(2)pi`
B. `3pi`
C. `(2)/(3)pi`
D. `2pi`

Answer

A

Explanation

`v_("max")=aomega`
`v=n lambda`
`(v_("max"))/(v)=(a omega)/(n lambda)=(a(2pin))/(n lambda)=(2pia)/(lambda)=(2pia)/((2pi)d/(K))`
`Ka=(pi)/(2)xx3=(3pi)/(2)`