JEE Main 2022 — Gravitation Question with Solution

A body of mass $$\mathrm{m}$$ is projected with velocity $$\lambda v_{\mathrm{e}}$$ in vertically upward direction from the surface of the earth into space. It is given that $$v_{\mathrm{e}}$$ is escape velocity and $$\lambda <1$$. 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)