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Derive an expression for the height of c...

Derive an expression for the height of capillary rise between two parrallel plates dipping in a liquid of density `sigma` separated by a distance `d`. The surface tension of the liquid is `T`.

Text Solution

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The menisus between two plates is cylindrical in shape. Pressure at `A` (the lowest point of the menisus)
`p_(A)=p_(0)=T.r`
Pressure at `B=`pressure at `C=p_(0)=` pressure at `A+rhogh`
`:. p_(0)=p_(0)-T/r+rhoghxxh=T/(rhogr)-(2T)/(rhogd)`
Alternative method:
Force upward `=2lTcostheta=2lT` (`:'theta=0^@)`
Gravitational pull `=("Volume"xx"Density")g=lhdrhog`
`:. 2lT=Ihdrhogimpliesh=(2T)/d`
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