At what height from the surface of earth the gravitation potential and the value of g are $-5.4\times {10}^{\mathrm{7 }}\mathrm{J}\mathrm{ }\mathrm{k}{\mathrm{g}}^{-2}$ and $6.0\mathrm{ }\mathrm{m }{\mathrm{s}}^{-2}$ respectively? Take the radius of earth as $\mathrm{6400\; km}$:

• Correct answer
  A

  $\mathrm{2600\; km}$
• B

  $\mathrm{1600\; km}$
• C

  $\mathrm{1400\; km}$
• D

  $\mathrm{2000\; km}$

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