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)

1. A $\frac{\mathrm{R}}{1+\lambda^{2}}$
2. B $\frac{R}{1-\lambda^{2}}$ Correct answer
3. C $\frac{R}{1-\lambda}$
4. D $\frac{\lambda^{2} \mathrm{R}}{1-\lambda^{2}}$