A thin uniform rod of mass \( m \) and length \( l \) is kept on a smooth horizontal surface suc...

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A thin uniform rod of mass \( m \) and length \( l \) is kept on a smooth horizontal surface such that it can move freely. At what distance from centre of rod should a particle of mass \( m \) strike on the rod such that the point \( P \) at a distance \( l / 3 \) from the end of the rod is instantaneously at rest just after the elastic collision?
\( \mathrm{P} \)
(1) \( l / 2 \)
(2) \( l / 3 \)
(3) \( l / 6 \)
(4) \( l / 4 \)
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