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Question

If T is the surface tension of soap solution, the amount of work done in blowing a soap bubble from a diameter D to a diameter 2D is

A
2πD2T
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B
4πD2T
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C
6πD2T
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D
8πD2T
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Solution

The correct option is C 6πD2T
Work done, W= (increase in surface area) × surface tension
W=2×[4π(2D2)24π(D2)2]×T
(Since for soap bubble, there are two free surfaces)
=2×(4πD2πD2)T=6πD2T

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