The simple harmonic vibrations of two particles are `y_(1)= 5sin (100t) and y_(2) = 4 cos (100t + pi/4)`. The phase difference between both particles is

Options

A. `pi/4`
B. `pi/2`
C. `pi`
D. `(3pi)/4`

Answer

D

Explanation

`y_(1) = 5sin (100t)`
` and y_(2) = 4 cos (100 t + pi/4)`
` = 4 sin (pi/2 + (100 t + pi/4)`
` = 4 sin (100 t + (3pi)/4)`
Phase difference between these two vibrations .
`Deltaphi=phi_(2)-phi_(1)`
`or Deltaphi = (100 t + 3/4 pi) - (100t) = 3/4 pi`