Question

Escape velocity and orbital velocity of a planet are related by the formula

• A. Escape velocity = $\sqrt{(}3)\times$ orbital velocity
• B. Escape velocity = $\sqrt{(}2)\times$orbital velocity
• C. Escape velocity = orbital velocity/\sqrt(3)
• D. Escape velocity = orbital velocity/\sqrt(2)

Answer 1

The correct option is B Escape velocity = $\sqrt{(}2)\times$orbital velocity

Escape velocity is given by $v_e=\sqrt{(}2GM/R)$ and orbital velocity is $v_o=\sqrt{(}GM/R)$
Dividing one by the other, we get, $v_e=\sqrt{(}2)v_0$