When a big drop of water is formed from ' n ' small drops of water, the energy loss is '3E' where ' E ' is the energy of the bigger drop. The radius of the bigger drop is ' R ' and that of smaller drop is ' r ' then the value of ' n ' is

Step-by-step solution

Surface energy analysis yields the relation for the formation of a larger drop from n identical small drops. Initial total surface energy is E_ initial = n T 4 r^2 . Final surface energy of the larger drop is E_ final = T 4 R^2 , which is given as E . The energy loss equals the difference between initial and final surface energies: E_ initial - E_ final = 3E . n T 4 r^2 - T 4 R^2 = 3 T 4 R^2 n r^2 - R^2 = 3 R^2 n r^2 = 4 R^2 n = 4 R^2 r^2 This corresponds to option B.