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Expression for the height of capillary rise between two parallel plates dipping liquid of density `sigma` separated by a distance d. The surface tension of the liquid is T. [Take angle of contact to be zero]A. `h=(2T)/(sigmadg)`B. `h=(2d)/(sigmaT)`C. `h=(sigmaT)/(d)`D. `h=(2T^(2))/(sigmad)` |
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Answer» Correct Answer - A The meniscus between two plates in cylindrical is shape. Pressure at A (the lowestpoint of the meniscus) `p_(A)=p_(0)-(T)/(r)` Pressure at `B=` pressure at `C=p_(0)=` pressure at `A+sigmagh` `becauseP_(B)=p_(0)=p_(0)-(T)/(r)+sigmagh,h=(T)/(sigmagr)=(2T)/(sigmagd)` Alternative method: Force upward `=2lTcostheta=2lT(becausetheta=0^(@))` Gravitational pull `=("Volume"xx"density")g=lhdsigmag` `because2lT=lhdrhogimpliesh=(2T)/(dsigmag)` |
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