An object is shot vertically upwards from the surface of earth with a speed nv_e where v_e is the escape speed and n< 1. If R is the radius of earth, maximum distance of the object from the center of earth will be :

• A

  R(1-n²)

• B

  R(1+n²)

• C

  $\frac{\mathrm{R}}{1+{\mathrm{n}}^2}$

• D

  $\frac{\mathrm{R}}{1-{\mathrm{n}}^2}$