Question

If $v_e$ and $v_0$ represent the escape velocity and orbital velocity of a satellite corresponding to circular orbit of radius $R$, then

• A. $v_e=v_o$
• B. $v_e=\sqrt{2}{v}_o$
• C. $v_e=\left(1/\sqrt{2}\right)v_o$
• D. $v_e$ and $v_0$ are not related

Answer 1

The correct option is B $v_e=\sqrt{2}{v}_o$

escape velocity $v_e=\sqrt{GM/R}$

Orbital velocity $v_o=\sqrt{GM/2R}$

so, $v_e=\sqrt{2}{v}_o$