A particle executes $SHM$ on a straight line path. The amplitude of oscillation is $2\, cm.$ When the displacement of the particle from the mean position is $1\, cm,$ the numerical value of magnitude of acceleration is equal to the numerical value of magnitude of velocity. The frequency of $SHM$ (in $second^{-1}$) is :
  • A$2\pi \sqrt{3}$
  • B$\frac{2\pi}{ \sqrt{3}}$
  • C$\frac{\sqrt{3}}{2\pi}$
  • D$\frac{1}{2\pi \, \sqrt{3}}$
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