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?
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a
πR2T
b
πR2T
c
2πRT
d
2RT
answer is D.
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Detailed Solution
Suppose tension in thread is F, then for small part ∆l of thread∆l = Rθ and 2F sin θ2 = 2T∆l = 2TRθ⇒F = TRθsinθ2 =TRθθ2= 2TR(sin θ2 = θ2)