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The ratio of the surface tension S and density ρ of liquid 1 and 2 are 1:2 and 1:4 respectively. Equal amount of the two liquids is poured into two identical tubes. what will be the ratio of the rise in the liquid level in the two tubes? (Assume the angle of contact to be same)
  • a)
    1:2
  • b)
    2:1
  • c)
    8:1
  • d)
    1:8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio of the surface tension S and density ρ of liquid 1 and 2...
Explanation:
where h = rise in liquid height in the tube, S = surface tension, θ = the angle of contact, d = diameter of the tube, ρ = density of liquid and g = acceleration due to gravity.
Given, S1 / ρ1 = 1 : 2 and S2 / ρ2 = 1 : 4.
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Most Upvoted Answer
The ratio of the surface tension S and density ρ of liquid 1 and 2...
Ρ of a liquid determines the shape that a liquid drop will take. The ratio of surface tension to density is known as the capillary length and is denoted by λ. The capillary length is given by the formula λ = (S/ρg)^0.5, where g is the acceleration due to gravity.

The capillary length λ represents the characteristic length scale over which surface tension dominates over gravity in shaping a liquid drop. If the size of the drop is much smaller than the capillary length, surface tension dominates and the drop takes a spherical shape. On the other hand, if the size of the drop is much larger than the capillary length, gravity dominates and the drop takes a flattened or elongated shape.

The capillary length is an important parameter in many applications involving liquids, such as in microfluidics, where the behavior of small liquid droplets is crucial. It provides a measure of the length scale at which surface tension effects become significant compared to gravity.
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The ratio of the surface tension S and density ρ of liquid 1 and 2 are 1:2 and 1:4 respectively. Equal amount of the two liquids is poured into two identical tubes. what will be the ratio of the rise in the liquid level in the two tubes? (Assume the angle of contact to be same)a)1:2b)2:1c)8:1d)1:8Correct answer is option 'B'. Can you explain this answer?
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