$A$ particle is performing $S.H.M.$ about its mean position with an amplitude $a$ and periodic time $T$. The speed of the particle when its displacement from the mean position is $\frac{a}{3}$ will be:
- A$\frac{2 \pi a}{T}$
- B$\frac{4 \sqrt{2} \pi a}{3 T}$
- C$\frac{4 \pi^2 a}{3 T}$
- D$\frac{\sqrt{3} \pi^2 a}{2 T}$
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