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Question

The radius R of the soap bubble is doubled under isothermal condition. If T be the surface tension of soap bubble, the work done in doing so is given by.

A
32πR2T
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B
24πR2T
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C
8πR2T
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D
4πR2T
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Solution

The correct option is A 32πR2TThe surface tension(T) of a liquid is equal to the work (W) required to increase the surface area of the liquid file by unity at constant temperature.As per key ides, tension=workdonesurfaceareaor T=WΔASince soa bubble has two surface and surface area of soap bubble is 4πR2where R is radius of bubble.then W=T×2×4πR2Given R=2Rtherefore W=T×2×4π×(2R)2W=32πR2T.

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