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Question

A thread is tied slightly loose to a wire frame as shown in the figure And the frame is dipped into a soap solution and taken out The frame is completely covered with the film. When the portion A is punctured with a pin the thread
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A
becomes convex towards A
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B
becomes concave towards A
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C
remains in the initial position
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D
either A or B depending on size of A w.r.t B
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Solution

The correct option is B becomes concave towards A
When we puntured the film in part A, the pressure becomes equal to atmospheric pressure. So, applying the equation , if,
P=atmospheric pressure
T= surface tension constanT
R=radius of the film
If we start from the side below B, we get,
P+4T/R-4T/R=P
we equated it with the atmospheric pressure as we have punchered it from the A so, the pressure of that part becomes equal to atmospheric pressure.
So , to make it equal to atmospheric pressure , we need to have the thread with the shape concave towards A.

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