Question

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

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

Answer 1

Answer: (D)

1 : 100

Answer 2

Volume of liquid remain same i.e. volume of 1000 small drops will be equal to volume of one big drop

$1000 r ^ { 3 } = R ^ { 3 }$⇒$\therefore \frac { r } { R } = \frac { 1 } { 10 }$

$\frac { \text { surface energy of one small drop } } { \text { surface energy of one big drop } } = \frac { 4 \pi r ^ { 2 } T } { 4 \pi R ^ { 2 } T } = \frac { 1 } { 100 }$