A body of mass .m. is dropped and another body of mass M is projected vertically up with speed .u. simultaneously from the top of a tower of height H. If the body reaches the heightst point before the dropped body reaches the ground, then maximum height raised by the centre of mass of the system from ground is

Options

A. `H+(u^(2))/(2g)`
B. `(u^(2))/(2g)`
C. `H+(1)/(2g)((Mu)/(m+M))^(2)`
D. `H+(1)/(2g)((m u)/(m+M))^(2)`

Answer

C