The equation of the displacement of two particles making `SHM` are represented by `y_(1) = a sin (omegat +phi) & y_(2) = a cos (omegat)`. Phase difference between velocities of two particles is

Options

A. `(pi)/(2) + phi`
B. `- phi`
C. `phi`
D. `phi - (pi)/(2)`

Answer

D

Explanation

`y_(1) = a sin (omega t + phi)`
`y_(2) = a cos (omega t) = a sin (omega t + (pi)/(2))`
Phase difference `phi - (pi)/(2)`