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[Music] foreign [Music] how to relate the surface tension and the free energy of a liquid surface so let us imagine a wireframe that is rectangular in shape and we have a here wire so now you see here we dip this into a soap solution so we have dipped it into a soap solution so what will happen unless we hold it by some external Force this wire will be stretched by this liquid so I have to apply some Force f so I have to apply that Force f and now suppose I move this and bring this to this position so that it moves by D X distance and suppose L is the length of this wire so L is not length from here to here but from here to Here length so consider a soap film consider a soap film formed on the rectangular wireframe rectangular wire frame wireframe as shown in figure now let F be the force that is external Force external Force that is applied applied slowly to stretch the film film by a distance d x let DW be the work done work done in doing so so now let us see that let us see the cro