A square wire frame of each side L is dipped | vedclass

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(A) square wire frame has $4$ sides, each of length $L$. The total perimeter of the square is $4 L$.When the frame is dipped in a soap solution, a thi

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$8$

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(A) square wire frame has $4$ sides, each of length $L$. The total perimeter of the square is $4 L$.When the frame is dipped in a soap solution, a thin film (membrane) is formed across it.This film has two surfaces (one on each side of the frame).Therefore, the total length of the film in contact with the wire frame is $2 	imes (4 L) = 8 L$.The force $F$ due to surface tension $T$ is given by the formula $F = T 	imes (	ext{total length})$.Substituting the values, we get $F = T 	imes 8 L = 8 T L$.

$A$ square wire frame of each side $L$ is dipped in soap solution. On taking out, a membrane is formed. If the surface tension of the solution is $T$, the force acting on the frame will be (in $T L$)

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