Question

Phase difference between a particle at a compression and a particle at successive rarefaction is

• A. $\frac{\pi }{2}$
• B. $\frac{\pi }{3}$
• C. $\pi$
• D. $\frac{\pi }{4}$

Answer 1

The correct option is C $\pi$

We know distance between particles at successive compression and rarefaction is half wavelength.
So, $\Delta x=\frac{\lambda }{2}$


Also, phase difference,
$\Delta \varphi =\frac{2\pi }{\lambda }\Delta x$
$\Delta \varphi =\frac{2\pi }{\lambda }\times \frac{\lambda }{2}=\pi$