Q64 / 90 · KVPY 2012 (SB/SX) · Physics

A body is executing simple harmonic motion of amplitude a and period $\mathrm{T}$ about the equilibrium position $\mathrm{x}=0$. 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 $\mathrm{x}$ to $\mathrm{x}+|\mathrm{dx}|$ is highest at -

  • Correct answer
    A
    $x=\pm a$
  • B
    $\mathrm{x}=\pm \mathrm{a} / 2$
  • C
    $\mathrm{x}=0$
  • D
    $\mathrm{x}=\pm / \sqrt{2}$

Hence, the correct answer is option: 'A'.

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