Question

A large number of liquid drops each of radius  a  are merged to  form a single  spherical drops of radius  b . The energy released in the process is converted  into kinetic energy  of the  big drop formed . The speed  of the big drop is (rho =density of liquid,  T =surface tension of liquid) then proves this

 {6T/rho (1/a-1/b)}^1/2 

Answer 1

Let n be the number of drops coalesced to form single drop then,

When they form one single drop there will be reduction in surface energy and this is the energy which is converted to kinetic energy. Hence