Question:
A square frame of each side L is dipped in a soap solution and taken out, the force acting on the film formed is ( T = surface tension of soap solution)
A square frame of each side L is dipped in a soap solution and taken out, the force acting on the film formed is ( T = surface tension of soap solution)
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A soap film has two surfaces, so force = 2 x T x total length of the frame.
Updated On: Oct 1, 2026
- \(4\,TL\)
- \(8\,TL\)
- \(12\,TL\)
- \(16\,TL\)
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept
Surface tension force on a boundary of length \(\ell\) is \(T\ell\) per free surface. A soap film has two free surfaces (front and back).
Step 2: Compute
The frame has perimeter \(4L\). Force:
\[ F = 2T \times 4L = 8TL \]
Option (A), 4TL, counts only one surface.
Final Answer:
The force on the film is \(8TL\), option (B). \[ \boxed{8TL} \]
Surface tension force on a boundary of length \(\ell\) is \(T\ell\) per free surface. A soap film has two free surfaces (front and back).
Step 2: Compute
The frame has perimeter \(4L\). Force:
\[ F = 2T \times 4L = 8TL \]
Option (A), 4TL, counts only one surface.
Final Answer:
The force on the film is \(8TL\), option (B). \[ \boxed{8TL} \]
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