A particle is executing a simple harmonic motion. Its maximum acceleration is $\alpha$ and maximum velocity is $\beta$. Then, its time period of vibration will be:

Question

( A ) $\frac{2 \pi \beta}{\alpha}$
( B ) $\frac{\beta^2}{\alpha}$
( C ) $\frac{\alpha}{\beta}$
( D ) $\frac{\beta^2}{\alpha^2}$