A ball of mass m is fired vertically upwards from the surface of the earth with velocity nv_e where v_e is the escape velocity and n > 1. To what height will the ball rise? Neglecting, air resistance, take radius of the earth as R 

• A

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

• B

  $\frac{\mathrm{R}}{\left(1-{\mathrm{n}}^2\right)}$

• C

  $\frac{{\mathrm{Rn}}^2}{\left(1-{\mathrm{n}}^2\right)}$

• D

  ${\mathrm{Rn}}^2$