Question

The phase difference between displacement and velocity of a body executing SHM is

• A. $\pi$
• B. $\frac{\pi }{2}$
• C. $\frac{\pi }{4}$
• D. Zero

Answer 1

The correct option is B $\frac{\pi }{2}$

The displacement of a particle in SHM having a phase difference of $\varphi$ is represented by,

$x=A\sin (\omega t+\varphi )$

So, rate of change of displacement gives us the velocity as,

$v=A\omega \cos (\omega t+\varphi )$

$\Rightarrow \Delta \varphi =\frac{\pi }{2}$