A glass capillary sealed at the upper end is of length 0.11 m and internal diameter . The tube is immersed vertically into a liquid of surface tension . To what length has the capillary to be immersed so that the liquid level inside and outside the capillary becomes the same? What will happen to the water level inside the capillary if the seal is now broken? : Kaysons Education

Question

A glass capillary sealed at the upper end is of length 0.11 m and internal diameter . The tube is immersed vertically into a liquid of surface tension . To what length has the capillary to be immersed so that the liquid level inside and outside the capillary becomes the same? What will happen to the water level inside the capillary if the seal is now broken?

None of these

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Solution

Correct option is

If A is the cross-sectional area of the tube and L its length, the initial volume of air inside it will be V₁ = AL while pressure p₁ = p₀ = atmospheric pressure.

Now when the tube is immersed in water wit

h its length x in water, the level of water inside and outside is same; so the volume of air in the tube will beV₂ = A(L – x). Further if p₂ is the pressure of gas in the tube,

Now if temperature is constant,

If the seal is broken the pressure inside the capillary will become atmospheric, i.e., p₀ while capillary will take place and the rise will be

However, the length of the tube outside the water is 0.11 – 0.01 = 0.1 m; so the tube will be of insufficient length and so the liquid will rise to the top of the tube and will stay there with radius of meniscus,

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