Prove that surfac
Surface Tension (σ): It is measured as force acting per unit length of an imaginary line drawn on liquid surface.
F = Force that liquid exerts
l = length of imaginary line drawn on the liquid surface
Surface Energy: It is the work done in increasing the area of the surface film by a unit amount.
Consider a rectangular frame ABCD in which wire AB is movable. Dip the frame in soap solution. A film is formed which pulls the wire AB inwards due to surface tension with a force,
We have included a factor of 2 because the soap film has two free surfaces.
Suppose AB is moved out through a distance x to the position A’B’. Then,
Increase in surface area of the film is =
Hence surface energy is numerically equivalent to its surface tension.
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