Escape velocity is given by :

Let, $m \rightarrow$ mass $q$ body at rest on surface of earth

$M \rightarrow$ Mass of planet

$R \rightarrow$ Radius of planet

$g \rightarrow$ accelvation dece to grainty

$V_{e} \rightarrow$ escape velowty

$\therefore$ Binding energy $\left(E_{b}\right)=\frac{G M m}{R} \quad\left\{\because G \rightarrow G_{\text {ravitational }}^{\text {constant }}\right\}$ Kindii energy $\left(E_{k}\right)=\frac{1}{2} m v_{e}^{2}$

for Escaping, $E_{b}=E_{k} \Rightarrow \frac{G M m}{R}=\frac{1}{2} m v_{e}^{2}$

$\therefore V_{e}=\sqrt{\frac{2 G M}{R}} \quad \text { or } V_{e}=\sqrt{2 g R} \quad\left\{\because g=\frac{G M}{R^{2}}\right\}$