Скачать или смотреть Derivation of height of liquid column in a capillary tube or Ascent Formula // Surface Tension

Chapter: Surface Tension : Find the expression of height of liquid column in a capillary tube ............

The liquid rises upto a height h in a capillary tube under the action of rectangular component N cos θ which acts vertically upwards along the wall of the capillary tube of reaction N acting outwards tangentially to the liquid meniscus of surface tension S which acts inwards tangentially to the concave liquid meniscus .
In equilibrium

Upward force due to reaction of surface tension = Weight of liquid
in the capillary tube

∴ N cos θ. 2 π r = π r ² ρ g ( h + r/3)

∴ h = 2 S cos θ /ρ r g - r/3

When a capillary tube is plunged into a volume of wetting liquid, the liquid rises inside the tube under the effect of capillary forces . It is observed that the height reached by the liquid is inversely proportional to the radius of the tube.

Jurin's law :The capillary rise is inversely proportional to the radius of curvature of liquid meniscus..

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