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

• A

  $\frac{2\mathrm{\pi \beta }}{\mathrm{\alpha }}$

• B

  $\frac{{\mathrm{\beta }}^2}{{\mathrm{\alpha }}^2}$

• C

  $\frac{\mathrm{\alpha }}{\mathrm{\beta }}$

• D

  $\frac{{\mathrm{\beta }}^2}{\mathrm{\alpha }}$