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Soap solution bubble having radius π1π cm is expanded to a bubble of radius π4π. If the surface tension of soap solution is 30 dyne/cm, then the work done is ______. -

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Question

Soap solution bubble having radius `1/sqrtπ` cm is expanded to a bubble of radius `4/sqrtπ`. If the surface tension of soap solution is 30 dyne/cm, then the work done is ______.

Options

  • 180 erg

  • 3600 erg

  • 7200 erg

  • 960 erg

MCQ
Fill in the Blanks

Solution

Soap solution bubble having radius `1/sqrtπ` cm is expanded to a bubble of radius `4/sqrtπ`. If the surface tension of soap solution is 30 dyne/cm, then the work done is 3600 erg.

Explanation:

Work done

`= "T"xx[4πxx(4/sqrtπ)^2-4πxx(1/sqrtπ)^2]xx2`

`=30 xx 60xx 2=3600` erg

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Surface Tension and Surface Energy
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