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A square frame of side L is dipped in a ...

A square frame of side L is dipped in a soap solution .When it is taken out of the solution . When it is take out of the solution , a film is formed on it . If the surface tension is T, then force acting on it is :

A

2TL

B

16TL

C

4TL

D

8TL

Text Solution

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The correct Answer is:
To solve the problem of finding the force acting on a square frame of side L when it is dipped in a soap solution and taken out, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Setup**: - A square frame with side length \( L \) is dipped in a soap solution. - When the frame is taken out, a soap film is formed on both sides of each edge of the square frame. 2. **Identifying the Film Formation**: - Each side of the square frame has a soap film on both its inner and outer surfaces. - Therefore, for each side of length \( L \), there are two surfaces (inner and outer) contributing to the total force due to surface tension. 3. **Calculating the Force on One Side**: - The surface tension \( T \) is defined as the force per unit length. - For one side of the frame, the total length of the film is \( L \), and since there are two surfaces (inner and outer), the effective length for the force calculation is \( 2L \). - The force \( F \) acting on one side can be expressed as: \[ F = T \times \text{(effective length)} = T \times 2L \] 4. **Calculating the Total Force on the Frame**: - Since the square frame has four sides, the total force acting on the entire frame is: \[ F_{\text{total}} = 4 \times (T \times 2L) = 8TL \] 5. **Final Result**: - Thus, the total force acting on the square frame when it is taken out of the soap solution is: \[ F_{\text{total}} = 8TL \] ### Conclusion: The force acting on the square frame is \( 8TL \).

To solve the problem of finding the force acting on a square frame of side L when it is dipped in a soap solution and taken out, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Setup**: - A square frame with side length \( L \) is dipped in a soap solution. - When the frame is taken out, a soap film is formed on both sides of each edge of the square frame. ...
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MARVEL PUBLICATION-SURFACE TENSION -MULTIPLE CHOICE QUESTIONS . (STANDARD LEVEL)
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  2. The surface tension for pure water in a capillary tube experiment is

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  3. A square frame of side L is dipped in a soap solution .When it is take...

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  4. The surface tension soap solution is 3 xx 10^(-2) N/m then then the w...

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  5. Work done in increasing the size of a soap bubble from a radius of 3cm...

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  6. If T is the surface tension of soap solution, the amount of work done ...

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  7. If T is the surface tension of soap solution, the amount of work done ...

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  8. A soap bubble of radius 1//sqrtpi "cm" is expanded to radius 2//sqrtpi...

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  9. The radii of two soap bubbles are r(i) and r(2). In isothermal conditi...

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  10. Work done in forming a liquid drop of radius R is W(1) and that of rad...

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  11. A sheet can be made water proof by coating it with a substance that ch...

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  12. Work W is required to form a bubble of volume V from a given solution....

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  13. A spherical drop of water has a diameter of 2 mm . If the surface tens...

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  14. The excess pressure inside a soap bubble of volume V(1) is twice the e...

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  15. Air is pushed in a soap bubble to increase its radius from R to 2R . I...

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  16. At critical temperature, the surface tension of a liquid

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  17. If the excess pressure inside a soap bubble of radius 5 mm is equal to...

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  18. When a soap bubble is charged :-

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  19. If the radius of a soap bubble is four times that of another, then the...

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  20. The surface tension of pure water is measured at different temperature...

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