Hydraulics and Fluid Mechanics in ME
A channel is said to be of most economical cross-section, if

It has minimum wetted perimeter
All of these
It gives maximum discharge for a given cross-sectional area and bed slope
It involves lesser excavation for the designed amount of discharge

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Hydraulics and Fluid Mechanics in ME
The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where IG = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface, and x = Depth of centre of gravity of the immersed surface from the liquid surface)

(IG/Ax̅) - x̅
(Ax̅/IG) + x̅
(IG/Ax̅) + x̅
(IG/x̅) - Ax̅

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