A body is executing simple harmonic motion of amplitude $a$ and period $T$ about the equilibrium position $x=0$. Large numbers of snapshots are taken at random of this body in motion. The probability of the body being found in a very small interval $x$ to $x+|d x|$ is highest at
  • A$x=\pm a$
  • B$x=0$
  • C$x=\pm \frac{a}{2}$
  • D$x=\pm \frac{a}{\sqrt{2}}$
KVPY 2012, Medium
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