A Spherical uniform planet is rotating about its axis . The velocity of a point on its equator is v. Due to the rotation of planet about its axis the acceleration due to gravity of at equator is $\large\frac{1}{2}$ of acceleration due to gravity at poles. The escape velocity of a particle on the poles of planet in terms of v

Question

\[(a)\;v_e=2V \quad (b)\;v_e=V \quad (c)\;v_e=v/2 \quad (d)\;v_e=\sqrt 3 v\]