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Q.

If the surface tension of soap solution is σ, what is the work done in blowing soap bubble of radius r?

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a

πr2σ

b

2πr2σ

c

4πr2σ

d

8πr2σ

answer is D.

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Detailed Solution

Since a bubble has two surfaces in contact with air, the total surface area of the bubble =2×4πr2= 8πr2.

Now work done = surface tension x increase in surface area =σ×8πr2-0=8πr2σ
Hence the correct choice is (d).

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