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
KVPY 2012, Medium
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(a)
In simple harmonic motion, at positions near extreme positions speed of body is less.
So, more time is spend by the body in extreme positions and less near mean position.
Hence, probability of finding the body at extremes is much higher.
So, correct option is $(a)$.
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