• # question_answer The period of the satellite of the earth orbiting very near to the surface of the earth is ${{T}_{0}}$. What is the period of the geostationary satellite in terms of ${{T}_{0}}$ A)  $\frac{{{T}_{0}}}{\sqrt{7}}$                              B)  $\sqrt{7}{{T}_{0}}$C)  $7\,\,{{T}_{0}}$                    D)  $7\sqrt{7}\,\,{{T}_{0}}$

${{T}^{2}}\propto {{r}^{3}}$ law; $T_{0}^{3}\propto {{R}^{3}}$ & $T_{s}^{2}\propto {{(<7R)}^{3}};$ ${{\left( \frac{{{T}_{s}}}{{{T}_{0}}} \right)}^{2}}={{7}^{3}};$        ${{T}_{s}}=7\sqrt{7}{{T}_{0}}$