Evaporation of a drop

let us assume a drop of radius R m

if the drop breaks into very small drops of radius r energy will be released

so the surface energy of R must be greater than the energy required to evaporate the water

so we get R<0.09 x 10^ -9

so if this small drop breaks into very very smaller droplets(r→0)
the water will evaporate

sir wat is the ans

Your estimates are slightly off-beat. You should get R < 0.07 x 10^-9 m. What can one conclude from here? The point is that this is less than the size of a water molecule!! That means we cannot have such a drop. Therefore, there does NOT exists a water drop which could evaporate without absorbing heat, or losing internal energy.

yeah rite....