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A soap bubble of radius R is blown. Afte...

A soap bubble of radius R is blown. After heating the solution a second bubble of radius 2 R is blown. The work required to blow the second bubble in comparison to that required for the first bubble is

A

Double

B

Slightly less than double

C

Slightly less than four times

D

Slightly more than four times

Text Solution

Verified by Experts

The correct Answer is:
C
`W_1 = 8pi R^2 T_1`
`W_(2) = 8pi (2R)^(2) T_(2) = 32 piR^2 T_2`
`W_1/W_2=T_1/(4T_2),W_2=4W_1T_2/T_1`
as temperature `uarr` surface tension `uarr`
`:. W_2 lt 4W_1`
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