Abody performs simple harmonic oscillations along the straight line $ABCDE$ with $C$ as the midpoint of $AE.$ Its kinetic energies at $B$ and $D$ are each one fourth of its maximum value. If $AE = 2R,$ the distance between $B$ and $D$ is
  • A$\frac{\sqrt{3} R}{2}$
  • B$\frac{R}{\sqrt{2}}$
  • C$\sqrt{3} R$
  • D$\sqrt{2} R$
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