jee-main 2005 Q19

jee-main · India Hooke's law and elastic energy
A body $A$ of mass $M$ while falling vertically downwards under gravity breaks into two parts; a body B of mass $1/3\,M$ and a body C of mass $2/3\,M$. The centre of mass of bodies B and C taken together shifts compared to that of body A towards
(1) depends on height of breaking
(2) does not shift
(3) body C
(4) body B 
A body $A$ of mass $M$ while falling vertically downwards under gravity breaks into two parts; a body B of mass $1/3\,M$ and a body C of mass $2/3\,M$. The centre of mass of bodies B and C taken together shifts compared to that of body A towards\\
(1) depends on height of breaking\\
(2) does not shift\\
(3) body C\\
(4) body B
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