What is ratio of surface energy of 1 small drop and 1 large drop, if 1000 small drops combined to form 1 large drop

Options

A. `100 :1`
B. `1000 :1`
C. `10 : 1`
D. `1: 1000`

Answer

D

Explanation

Volume of large drop `= 1000 xx` Volume of smaller droplets
`(4)/(3) pi R^(3) = 1000 xx (4)/(3) pi r^(3) rArr R = 10 r`
Surface energy of small drop, `E_(1) = S xx 4pi r^(2)`
Surface energy of large drop, `E_(2) = S xx 4pi (10 r^(2))`
`:. E_(1)//E_(2) = 1//100`