A body of mass m is projected with velocity λve in vertically upward direction from the surface of the earth into space. It is given that ve is escape velocity and λ < 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
\(\frac{R}{1+λ^2}\)
2
\(\frac{R}{1-λ^2}\)
3
\(\frac{R}{1-λ}\)
4
\(\frac{λ^2 R}{1-λ^2}\)