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

Options

A. `1000:1`
B. `1:1000`
C. `10:1`
D. `1:10`

Answer

D

Explanation

As volume remains constant therefore `R=n^((1)/(3))r`
`=(4piR^2T)/(nxx4pir^2T)`
`(R^2)/(nr^2)=(n^((2)/(3))r^2)/(nr^2)=(1)/(n^((1)/(3)))=(1)/((1000)^((1)/(3)))=(1)/(10)`