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If a film of width l is stretched in the longitudinal direction a distance d by force F, surface tension is given by
  • a)
    S = F/l
  • b)
    S = F/3l
  • c)
    S = F/4l
  • d)
    S = F/2l
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If a film of width l is stretched in the longitudinal direction a dist...
  • Let L be the width of the film. Since the film has two surfaces, the total length along which the surface force acts on the slider is 2L.
  • The surface tension S in the film is defined as the ratio of the surface force F to the length d (perpendicular to the force) along which the force acts S=F/d
  • Hence, in the case, d = 2L S=F/2L
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Most Upvoted Answer
If a film of width l is stretched in the longitudinal direction a dist...
Explanation:

Surface tension is defined as the force acting per unit length on the surface of a liquid in contact with a gas or another liquid. It is denoted by 'S'. When a film of width 'l' is stretched in the longitudinal direction a distance 'd' by force 'F', the surface tension can be calculated using the formula:

S = F/2l

Here's why:

- The force F is acting on both sides of the film, so the total force acting on the film is 2F.
- The film has been stretched to a length of l + d. So, the force per unit length of the film is F/(l + d).
- However, we are interested in the surface tension, which is defined as the force per unit length of the surface of the film (not the force per unit length of the entire film).
- Since the surface of the film has a width of l, we need to divide the force by the width of the surface, i.e., F/(l + d) × l.
- Simplifying this expression, we get:

S = F/(l + d) × l / 2

Simplifying further, we get:

S = F/2l

Therefore, the correct option is D, i.e., S = F/2l.
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Community Answer
If a film of width l is stretched in the longitudinal direction a dist...
A or d
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