Two vertical plates submerged, partially in a wetting liquid form a wedge with a very small angle δϕ . The edge of this wedge is vertical. The density of the liquid is ρ , its surface tension is α, the contact angle is θ. Find the height h, to which the liquid rises, as a function of the distance x from the edge
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Let h be the height of the water level at a distance x from the edge. Then the total energy of
water in the wedge above the level outside is.
This is minimum when 
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