Hydraulics and Fluid Mechanics in ME
A piece of metal of specific gravity 13.6 is placed in mercury of specific gravity 13.6, what fraction of it volume is under mercury?

Whole of the metal piece will be immersed with its top surface just at mercury level
The metal piece will simply float over the mercury
The metal piece will be immersed in mercury by half
Metal piece will sink to the bottom

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

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