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Q.

When a long glass capillary tube of radius 0.015 cm is dipped in a liquid, the liquid rises to a height of 15 cm within it. If the contact angle between the liquid and glass to close to 0°, the surface tension of the liquid, in milli Newton m-1, is__________ [ρ(liquid)=900  kgm3,  g=10  ms2] (Give answer in closest integer)

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answer is 101.

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Detailed Solution

Given : Radius of capillary tube, r=0.015  cm=15×105  m
h=15  cm=15×102  m
Using h=2Tcosθρgr              [cosθ=cos0°=1]
Surface tension, T=rhρg2=15×105×15×102×900×102=101 milli newton m-1

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