A particle execute $S.H.M.$ along a straight line. The amplitude of oscillation is $2 \,cm$. When displacement of particle from the mean position is $1 \,cm$, the magnitude of its acceleration is equal to magnitude of its velocity. The time period of oscillation is ........
  • A$\frac{2 \pi}{\sqrt{2}}$
  • B$\frac{\sqrt{2}}{2 \pi}$
  • C$\frac{2 \pi}{\sqrt{3}}$
  • D$\frac{\sqrt{3}}{2 \pi}$
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