The surface energy of a liquid drop is S. It is sprayed into 1000 equal droplets. Then its surface energy becomes

Options

A. 1000E
B. 100 E
C. 10 E
D. E

Answer

C

Explanation

Initial energy E ` = 4 pi R^2 xx sigma `
From volume conservation : ` (4)/(3) pi R ^ 3 = 1000 (4)/(3) pi r ^ 3 rArr R = 10 r`
Now final energy = `1000 4 pi r ^ 2 sigma = 10 xx (4pi R ^ 2 ) sigma = 10 E `