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

• A

  $\frac{R}{1+{\lambda }^2}$
• Correct answer
  B

  $\frac{R}{1-{\lambda }^2}$
• C

  $\frac{R}{1-\lambda }$
• D

  $\frac{{\lambda }^{2}R}{1-{\lambda }^2}$

Hence, the correct answer is option: 'B'.