Consider a charged water droplet of radius R and charge Q uniformly distributed over its surface. From energy considerations, obtain an expression for the minimum charge that permits the droplet to spontaneously split into (i) two droplets of equal size, (ii) three droplets of equal size. Show that both the processes are energetical ly allowed for a droplet of charge Q = 5 x 10^-10 C and radius R = 1 mm. Will these processes actually occur if the dielectric breakdown of the surrounding medium takes place at a field strength of 3 x 10⁶ Vm^-1 ?

 

could you please post the detailed soln