Ratio of Surface Energy of Coalescing Drops – Rankers Physics
Topic: Solid and Fluids
Subtopic: Surface Tension and Viscosity

Ratio of Surface Energy of Coalescing Drops

What is ratio of surface energy of 1 small drop and 1 large drop, if 1000 small drops combined to form 1 large drop :
100 : 1
1000 : 1
10: 1
1 : 100

Solution:

Volume conservation gives \(R = 10r\). Since surface energy \(E = T \cdot 4\pi R^2\), the ratio of surface energy of one small drop to one large drop is \(r^2 : R^2 = r^2 : 100r^2 = 1 : 100\).

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