Question

For the moon to cease to remain the earth's satellite, its orbital velocity has to increase by a factor of

• A. $2$
• B. $\sqrt{2}$
• C. $\frac{1}{\sqrt{2}}$
• D. $\sqrt{3}$

Answer 1

The correct option is B $\sqrt{2}$

For any body to escape the earth gravitational field, it should be given escape speed
$\frac{V_e}{V_o}=\sqrt{2}$
$V_e=\sqrt{2}{V}_o$