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 )))`