write the Excess pressure across the free surface of a liquid:
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Every molecule on a liquid surface experiences forces due to surface tension which are tangential to the liquid surface at rest. The direction of the resultant force of surface tension acting on a molecule on the liquid surface depends upon the shape of that liquid surface. This force also contributes in deciding the pressure at a point just below the surface of a liquid
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It has no component perpendicular to the horizontal surface. As a result, there is no pressure difference between the liquid side and the vapour side. ... Thus, there is always an excess of pressure on the concave side of a curved liquid surface over the pressure on its convex side due to surface tension.
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