The equation of a simple harmonic progressive wave is given by y = A sin `(100 pi t - 3x)` . Find the distance between 2 particles having a phase difference of `(pi)/(3)`.

Options

A. `(pi)/(9)""m`
B. `(pi)/(18) ""m`
C. `(pi)/(6)""`m
D. `(pi)/(3)""m`

Answer

A

Explanation

Given y = A sin (100 `pit - 3x)`
The general equation
`y = A sin (omega t - kx)`
`therefore k = 3`
and `k = (2pi)/(lambda)`
or `lambda = (2pi)/(k)`
`lambda = (2pi)/(3)`
Phase difference , `phi = (pi)/(3)` ltbRgt `(2pi)/(3) * x = (pi)/(3)`
or `x = (pi)/(3) xx (lambda)/(2pi)`
`x = (pi)/(3) xx (2pi)/(3 xx 2pi)`
Distance , `x = (pi)/(9)` m