The maximum particle velocity is 3 times the wave velocity of a progressive wave. If the amplitude of the particle is 'A', then the phase difference between the two particles separation by a dsitance of 'x' is

Options

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

Answer

D

Explanation

`v_(P) = 3v, delta = ?`
`A omega = 3 n lamda`
`A xx 2pi n = 3n lamda`
`A xx (2pi)/(lamda) = 3`
`A " " k = 3 " " :. k = (3)/(A)`
`delta = (2pi)/(lamda) x = kx = (3)/(A)x`