The equation of a simple harmonic wave is given by y=6 `sin2pi(2t-0.1x)`, where x and y are in mm and t is in seconds . The phase difference between two particles 2mm apart at any instant is

Options

A. `54^(@)`
B. `72^(@)`
C. `18^(@)`
D. `36^(@)`

Answer

B

Explanation

The equation for a harmonic progressive wave is y`=6sin2pi(2t-0.1x)`
`rArry=6sin(4pit-2pitxx0.1x)`. This is of form
`y=Asin(omega-kx)` where `k=(2pi)/(lambda)`.
`thereforelambda=10`mm.
The phase difference for two particles separated by 2
mm is `phi=(2pi)/(10)xx2rArrphi=(2pi)/(5)=72^(@)`.