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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

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detailed solution

Correct option is A

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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