Hey there
No there is no such thing about these two branches. If you are thinking that all metals which are when extracted needs chemical processing all chemical is used is metal extraction and all then I would say all branches are somehow connected like electrical engineer use induction motors whose whole structure is made by mechanical so all branches are interconnected do not get confused. Metallurgy is a demanding stream in India as number of colleges having metallurgy as a branch is less in India.
Good luck
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