A body of mass \( M \) while falling vertically downwards under gravity breaks into two parts, a...

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A body of mass \( M \) while falling vertically downwards under gravity breaks into two parts, a part \( B \) of mass \( M / 3 \) and body \( C \) of mass 2 M/3. The centre of mass of the bodies \( B \) and \( C \) taken together
(A) does not shift
(B) shifts towards body \( B \)
(C) shifts towards body \( C \)
(D) depends upon height of breaking
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