• # question_answer 46) Statement-1: Orbital velocity of a satellite is greater than its escape velocity. Statement-2: Orbit of a satellite is within the gravitational field of earth whereas escaping is beyond the gravitational field of earth. A)  Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.B)  Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.C)  Statement-1 is true, Statement-2 is false.D)  Statement-1 is false, Statement-2 is true.

The orbital velocity, if a satellite close to earth is   ${{v}_{0}}=\sqrt{g{{R}_{e}}},$ While the escape velocity for a body thrown from the earth's surface is ${{v}_{e}}=\sqrt{2g{{R}_{e}}}$ Thus,   $\frac{{{v}_{0}}}{{{v}_{e}}}=\frac{\sqrt{g{{R}_{e}}}}{\sqrt{2g{{R}_{e}}}}=\frac{1}{\sqrt{2}}$or   ${{v}_{e}}=\sqrt{2}{{v}_{0}}$i.e., if the orbital velocity of a satellite revolving close to the earth happens to increase to $\sqrt{2}$times, the satellite would escape.