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Q.

A soap bubble of initial radius r is to be blown up. The surface tension of the soap film is T. The surface energy needed to double the diameter of the bubble without change in temperature, is

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a

24 πr2T

b

12 πr2T

c

6 πr2T

d

36 πr2T

answer is A.

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Detailed Solution

Change in area of one surface ΔA=4π2r2−r2=12 πr2∴Total change in area =  24 πr2T=ΔUΔA⇒ΔU=TΔA=24πr2T
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