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Q.

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

πR2/T

b

πR2T

c

2πRT

d

RT

answer is D.

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Detailed Solution

Here, the force on semicircle is to be considered' So, Surface energy of film enclosed = Tension x length of the thread in semi-circleT×πR2=F×πRor  F=TR
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