﻿ Two narrow bores of diameters 3-0 mm and 6.0 mm are joined together to form a U-tube open at both the ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? (Surface tension of water at the temperature of the experiment is 72 dyne/cm. Take angle of contact to be zero and density of water to be 1.0 g/cc.)  from Physics Mechanical Properties of Fluids Class 11 Manipur Board

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Mechanical Properties of Fluids

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Two narrow bores of diameters 3-0 mm and 6.0 mm are joined together to form a U-tube open at both the ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? (Surface tension of water at the temperature of the experiment is 72 dyne/cm. Take angle of contact to be zero and density of water to be 1.0 g/cc.)

We know water rises in the capillary tube.

Height to which water rises in the capillary tube is,

Therefore the height hof the water that rises in the limb of diameter 3 mm is given by,

The height hof the water that will rise in the limb of diameter 6 mm is given by,

Hence difference in the levels of  two limbs is,

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