A uniform rod of length \( l \) and mass \( \mathrm{M} \) rotating ...

A uniform rod of length \( l \) and mass \( \mathrm{M} \) rotating about a fixed vertical axis on a smooth horizontal table. It elastically strikes a particle placed at a distance \( l / 3 \) from its axis and stops. Mass of the particle is
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(A) \( 3 \mathrm{M} \)
(B) \( \frac{3 \mathrm{M}}{4} \)
(C) \( \frac{3 \mathrm{M}}{2} \)
(D) \( \frac{4 \mathrm{M}}{3} \)