A body of mass m is projected with velocity λ v_e in vertically upward direction from the surface of the earth into space. It is given that v_e is…

A body of mass $\displaystyle m$ is projected with velocity $\displaystyle \lambda v_{\mathrm{e}}$ in vertically upward direction from the surface of the earth into space. It is given that $\displaystyle v_{\mathrm{e}}$ is escape velocity and $\displaystyle \lambda<1$. If air resistance is considered to be negligible, then the maximum height from the centre of earth, to which the body can go, will be : (R : radius of earth)