First slide
Surface tension
Question

There is a horizontal film of soap solution. On it a thread is placed in the form of a loop. The film is pierced inside the loop and the thread becomes a circular loop of radius R. If the surface tension of the loop be T, then what will be the tension in the thread?

Moderate
Solution

Suppose tension in thread is F, then for small part l of thread

l =  and 2F sin θ2 = 2Tl = 2TRθ

F = TRθsinθ2  =TRθθ2= 2TR(sin θ2 = θ2)

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