' n ' number of liquid drops each of radius ' r ' coalesce to form a single drop of radius ' R '. The energy released in the process is converted into the kinetic energy of the big drop so formed. The speed of the big drop is [T = surface tension of liquid, = density of liquid.]

Step-by-step solution

aligned & 4 3 R^3=n 4 3 r^3... (given) & R^3=n r^3 aligned Energy released, aligned U & = T 4 r ^2 n - T 4 R ^2 & = T 4 R ^3 r - T 4 R ^2 aligned This energy is converted into K.E array ll & 1 2 m v^2=T 4 R^3 [ 1 r - 1 R ] & 1 2 4 3 R^3 v^2=T 4 R^3 [ 1 r - 1 R ] & v^2= 6 T [ 1 r - 1 R ] v & = 6 T [ 1 r - 1 R ] array