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A thin and light thread of sufficient length L is attached to a wire frame. The frame (along with the thread) is dipped into soap solution. When the frame is taken out of the solution, the thread takes the form of a semicircle with a soap film extending between the frame and the thread as shown in the figure (a). Now the thread is deformed into two semicircles by applying a force of F at the middle of the thread, as a result the film gets strectched as shown in the figure. (b). Calculate the surface tension of the soap solution. |
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Answer» `(PIF)/(2L)` `F+2T=2sigmax`, where `T=2(SIGMA(X)/(4))` `rArr F=sigmax` and `2((pix)/(4))=L` `rArrsigma=(piF)/(2L)`
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