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