#### Question

The energy of the free surface of a liquid drop is 5π times the surface tension of the liquid. Find the diameter of the drop in C.G.S. system.

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#### Solution

Given that E = 5πT

Surface energy E = T dA -------- (Equation 1)

dA = 4πr2 -------- (where r is the radius of the liquid drop)

Substituting in Equation 1, we get

E = T * 4πr2

5πT = T* 4πr2 -------- (since E = 5πT)

`thereforer^2=5/4`

`thereforer=sqrt5/2`

Diameter, `d=2r=2*sqrt5/2`

`therefored=sqrt5=2.23cm`

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#### Reference Material

Solution for question: Find the Diameter of the Drop in C.G.S. System. concept: Surface Tension. For the courses HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)