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Question
The work done in blowing a soap bubble of radius R is W. The work done in blowing a bubble of radius 2R of the same soap solution is ______.
Options
`"W"/4`
`"W"/2`
4W
2W
MCQ
Fill in the Blanks
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Solution
The work done in blowing a soap bubble of radius R is W. The work done in blowing a bubble of radius 2R of the same soap solution is 4W.
Explanation:
The work done in blowing a soap bubble,
W = T × A
where, T is the surface tension and A is the area of soap bubble.
W = T × 4πR2
W ∝ R2
So, `"W"_1/"W"_2 = "R"_1^2/"R"_2^2`
`=> "W"_2 = "W"_1 ("2R"/"R")^2` = 4W
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