Hydraulics and Fluid Mechanics in ME
A metal with specific gravity of 'a' floating in a fluid of same specific gravity 'a' will

Sink to bottom
Be fully immersed with top surface at fluid surface
Partly immersed
Float over fluid

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Hydraulics and Fluid Mechanics in ME
The discharge through a channel of trapezoidal section is maximum when

Width of channel at the top is equal to twice the width at the bottom
Depth of channel is equal to the width at the bottom
The sloping side is equal to the width at the bottom
The sloping side is equal to half the width at the top

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