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
  • A$\frac{{2\pi \beta }}{\alpha }$
  • B$\frac{{{\beta ^2}}}{{{\alpha ^2}}}$
  • C$\frac{\alpha }{\beta }$
  • D$\frac{{{\beta ^2}}}{\alpha }$
AIPMT 2015, Medium
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