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What is the work done in blowing a soap ...

What is the work done in blowing a soap bubble from a radius of 3 cm to 5cm ? Surface tension of the soap solution is `0.03Nm^(9-1)`.

A

`0.2pimJ`

B

`2pimJ`

C

`0.4pimJ`

D

`4pimJ`

Text Solution

Verified by Experts

The correct Answer is:
c
`W=2TxxDeltaA=2Txx(4piR_(2)^(2)-4piR_(1)^(2))`
(There are two free surface of soap bubble)
`=8piTxx(R_(2)^(2)-R_(1)^(2))`
`=8xxpixx0.03[25xx10^(-4)-9xx10^(-4)]`
`=8xxpixx0.03xx16xx10^(-4)`
`=0.4pixx10^(-3)J`
`thereforeW=0.4pimJ`
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