1000 small water drops of equal size combine to form a big drop. The ratio of final surface energy to the total initial surface energy is

Step-by-step solution

Radii of the bigger and smaller drops are related as, R n ^ 1 3 r Now, surface energy E=T d A=T 4 R^2 array ll & E ₂ E ₁ = 4 R ^2 T n 4 r ^2 ~T E ₂ E ₁ & = R ^2 nr ^2 = n ^ 2 3 r ^2 nr ^2 & E ₂ E ₁ = 1 n ^ 1 3 = 1 1000^ 1 3 E ₂ E ₁ & =1: 10 array