A bomb travelling in a parabolic path under the effect of gravity explodes in mid air. The centre of mass of fragments will

The centre of mass of a bomb fragment that detonates in midair while travelling along a parabolic path will move along the initial parabolic path.

We know that a system's centre of mass moves at a constant speed in the absence of any external forces acting on it.

$$\begin{gathered} M{\overrightarrow{\alpha }}_{CM}={\overrightarrow{F}}_{ext} \\ When, {\overrightarrow{F}}_{ext}=0 and {\overrightarrow{\alpha }}_{CM}=0 \\ {\overrightarrow{V}}_{CM}=cons\tan t \end{gathered}$$

Hence the correct answer is Move in the parabolic path the unexploded bomb would have travelled..