If T is the surface tension of soap solution, the amount of work done is blowing a soap bubble from a diameter D to a diameter 2D is
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a
2πD2T
b
4πD2T
c
6πD2T
d
8πD2T
answer is C.
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Detailed Solution
Work done = (Increase in surface area) x Surface tension = 2×[4π(2D2)2-4π(D2)2]×T[Since, for sap bubble, there are 2 free surfaces] = 2 × (4πD2-πD2)T = 6πD2T