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If W is amount of work done in forming a...

If W is amount of work done in forming a soap bubble of volume V , then the amount of work done In forming a bubble of volume 2V from the same solution will be

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Volume of bubble `V=(4)/(3)pir^(3)impliesVpropr^(3)`
`(2V)/(V)=((r_(2))/(r_(1)))^(3)implies(r_(2))/(r_(1))=2^(1//3)`
Work done in forming the bubble `W=8pir^(2)T`
`impliesWpropr^(2)`
`(W_(2))/(W_(1))=((r_(2))/(r_(1)))^(2)=(2^(1//3))=2^(2//3)`
`W_(2)=2^(2//3)W`
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