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Look at the picture. When liquid levels are same inside and outside of the tube.
Let L is the total length of the tube and y is the portion immersed.
T = surface tension and r is the radius of the tube.
Po = atmospheric pressure and P = pressure inside the tube above liquid level
Air pressure in the tube is given by
Initially when the tube was not immersed, the air pressure inside the tube was Po.
From ideal gas equation assuming same temperature before and after immersion,
Where A = area of cross section of the tube.
Solving for y, we get
Substituting the values, we get y = .01m = 1 cm.
Now when the seal is broken, the liquid will rise to a height h inside the tube given
by the formula , where θ is the angle of contact and ρ is the density of
the liquid.
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