A body A of mass M while falling vertically downwards under gravity breaks into two parts; a body B of mass $\frac{1}{3} M$ and, a body C of mass $\frac{2}{3}M$. The centre of mass of body B and C taken together shifts compared to that of body A towards :

Question

( A ) body B
( B ) does not shift
( C ) body C
( D ) depends on height of breaking