Two uniformly charged spherical drops at potential V coalesce to form a larger drop. The capacity of each smaller drop is C, and the potential of larger drop is found to be 2nV ,the value of n is_______.

When drops coalesce to form a larger drop then total charge and volume remain conserved. If r is radius and q is charge on smaller drop then C=4πε0r and q=CVEquating volume we get 43πR3=2×43πr3⇒R=21/3rCapacitance of larger drop C′=4πε0R=21/3C Charge on larger drop Q=2q=2CVPotential of larger drop V′=QC′=2CV21/3C=22/3V