Question

The ratio of the escape velocity and the orbital velocity is

• A. $\sqrt2$
• B. $\frac{1}{\sqrt2}$
• C. 2
• D. 44563

Answer 1

Answer: (A)

$\sqrt2$

Answer 2

Escape Velocity $=\sqrt{\frac{2 GM }{ r }}$, where $G$ is Gravitational constant, $M$ is the mass of the planet and $r$ is the radius of the orbit Orbital Velocity $=\sqrt{\frac{ GM }{ r }}$ Hence, the ratio of Escape velocity and Orbital velocity is $\sqrt{2}$.