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The surface tension of a liquid is 80 dy...

The surface tension of a liquid is 80 dyne/cm. Its relative density is 0.8. If the angle of contact between the liquid and glass is `60^(@)`, find the height to which the liquid rises in a glass capillary tube of radius 1 mm.
(Assume g = `10ms^(-2)`)

Text Solution

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Radius of the capillary tube r = 1 mm = 0.1 cm, density d = 0.8 gm/c.c
acceleration due to gravity g = `10ms^(-2)=1000cms^(-2)`, surface tension T = 80 dynes/cm
angle of contact `theta=60^(@)`,
The height of liquid column in capillary tube h = `(2Tcostheta)/(rgd)`
`rArrh=(2xx80xxcos60^(@))/(0.1xx1000xx0.8)=1cm`
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