If T is surface tension of the soap solution, then the amount of work done in blowing a soap bubble from diameter D to 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 C6πD2T We know,
Work done in blowing soap bubble, W=T×2ΔA W=T×2×4π(R22−R21) =8πT((D22)2−(D12)2) =2πT(D22−D21) =2πT((2D)2−D2) =6πTD2