Q. What is the ratio of surface energy of 1 small drop and 1 large drop if 1000 drops combined to form 1 large drop?
A) 100 : 1
B) 1000 : 1
C) 10 : 1
D) 1 : 100
Explanation
(d) As, $\frac{4}{3}\pi R^{3} = 1000 \times \frac{4}{3}\pi r^{3}$
$R = 10r$
Surface energy of small drop $E_{1} = S \times 4\pi r^{2}$
Surface energy of large drop $E_{2} = S \times 4\pi(10\ r)^{2}$
$E_{1}/E_{2} = 1/100$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.