$A$ particle executes linear simple harmonic motion with an amplitude of $2 \ cm$. When the particle is at $1 \ cm$ from the mean position,the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

  • A
    $\frac{1}{2\pi \sqrt{3}}$
  • B
    $2\pi \sqrt{3}$
  • C
    $\frac{2\pi}{\sqrt{3}}$
  • D
    $\frac{\sqrt{3}}{2\pi}$

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