A large number of liquid drops each of radius 'a' coalesce to form a single spherical drop of radish b. The energy released in the process is converted into kinetic energy of the big drops formed. The speed of big drop will be

Explanation

Energy released is `W=3VT[(1)/(r)-(1)/(R)]` ..(1)
If V is volume of big drop, M the mass of the drop and `rho` the density then
Kinetic energy `=(1)/(2)Mv^(2)=(1)/(2)(rhoV)v^(2)` …(2)
As `(1)=(2)`
`3VT[(1)/(r)-(1)/(R)]=(1)/(2)(rhoV)v^(2)`
or `v=sqrt((6T)/(rho)((1)/(r)-(1)/(R)))`