A particle executing SHM. The phase difference between velocity and displacement is

Options

A. 0
B. `(pi)/(2)`
C. `pi`
D. `2pi`

Answer

B

Explanation

Let the displacement of a particle executing
SHM at any instant t is, `x=Acosomegat`
Velocity, `v=-Aomegasinomegat=Aomegacos(omegat+(pi)/(2))`
Phase of displacement, `phi_(1)=omegat`
Phase of velocity, `phi_(2)=(omegat+(pi)/(2))`
`therefore`Phase difference `=phi_(2)-phi_(1)=omegat+(pi)/(2)-omegat=(pi)/(2)`