A satellite is moving round the earth. In order to make it move to infinity its speed must be increased by
Answer & explanation
Correct answer: option 2
$v=\sqrt{\frac{G M}{r}}$ & $v_e=\sqrt{\frac{2 G M}{r}}$
$\frac{v_e-v}{v}=\sqrt{\frac{2 G M}{r}}-\sqrt{\frac{\frac{GM}{r}}{\frac{GM}{r}}}$
$=\frac{\sqrt{2}-1}{1}$ = 0.414 or 41.4%