A particle executes linear simple harmonic motion with an amplitude of $3\text{cm}$. When the particle is at $2\text{cm}$ from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:

1. A
   $\frac{\sqrt{5}}{\pi }$
2. B
   $\frac{\sqrt{5}}{2\pi }$
3. C
   $\frac{4\pi }{\sqrt{5}}$
4. D
   $\frac{2\pi }{\sqrt{3}}$