A soap bubble of radius R is blown. After heating the solution a second bubble of radius 2R is blown. The work required to blow the second bubble in comparison to that required for the first bubble is
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a
Double
b
Slightly less than double
c
Slightly less than four times
d
Slightly more than four times
answer is C.
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Detailed Solution
Work done to form a bubble of radius RW1=8πR2T1Work done to form a bubble of radius 2RW2=8π(2R)2T2=32πR2T2∴W1W2=T14T2If surface tension of soap solution is same, thenW2=4W1But in the problem the temperature W2 of solution is increased.So its surface tension decreases.∴W2<4W1