The equation of a simple harmonic progressive wave is given by $y=A \sin (100 \pi t-3 x)$. Find the distance between $2$ particles having a phase difference of $\frac{\pi}{3}$.
- A$\frac{\pi}{9} \ m$
- B$\frac{\pi}{18} \ m$
- C$\frac{\pi}{6} \ m$
- D$\frac{\pi}{3} \ m$
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