Hydraulics and Fluid Mechanics in ME
Discharge of a centrifugal pump is (where N = Speed of the pump impeller)

Directly proportional to N
Inversely proportional to N²
Directly proportional to N²
Inversely proportional to N

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

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

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