Three identical stars each of mass M form an equilateral triangle that rotates around the center of the triangle. The system is isolated and edge length of the triangle of the triangle is L. The amount of work that is required to dismantle the system is

Question

\[(a)\;\frac{3GM^2}{L} \quad (b)\;\frac{3GM^2}{2L} \quad (c)\;\frac{3GM^2}{4L} \quad (d)\;\frac{GM^2}{2L} \]