Q.

Air is pushed into a soap bubble of radius r to double its radius. If the surface tension of the soap solution is S. the work done in the process is  

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a

8πr2S 

b

12πr2S 

c

16πr2S 

d

24πr2S

answer is D.

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Detailed Solution

Number of soap bubble surfaces = 2,
Surface area increase =

4π(2r)2-4π(r)2 =12πr2

Surface area total increase = 

2×12πr2=24πr2

Change in surface energy equals work done

5×24π2=24πr2s

Hence the correct answer is 24πr2s.

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