Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Sixty-four drops of water, each of radius , join to make one big drop. Find the radius of the big drop and the surface energy set free. (Surface tension .)
Surface tension is force per unit length, or energy per unit area of surface, in . A film has two surfaces. Excess pressure: inside a drop or an air bubble in a liquid, inside a soap bubble.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Radius. , so .
Step 2. Area lost. .
Step 3. Energy. .
Answer: ; , which warms the drop very slightly.
Watch out. The big drop still has a surface; only the difference is set free.
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