A body falling vertically downwards under gravity breaks in two parts of unequal masses. The centre of mass of the two parts taken together shifts horizontally towards
does not shift horizontally
depends on the vertical velocity at the time of breaking
The correct option is C does not shift horizontally
Since the velocity is in the downwards direction the motion of the COM will also be in that particular direction.
As the horizontal component of force is zero so COM will not move horizontally.