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Question

If work done in blowing a soap bubble of radius 'R' is W. Then work done in blowing a soap bubble of radius 4R will be :-

A
2W
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B
4W
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C
8W
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D
16W
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Solution

The correct option is D 16W
Let surface tension on the surface of the soap bubble =T
Total surface area of the soap bubble =2(4πR2)
=8πR2 (As the soap bubble has inner as well as outer surface)
Work done in blowing soap bubble = Surface tension × Charge in area
W=8πR2T(1)
Now when radius becomes 4R,
Work done =8π(4R2)T=16×8πR2T=16W.(Using 1)

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