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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Hydraulics and Fluid Mechanics in ME
In a forced vortex motion, the velocity of flow is

directly proportional to the square of its radial distance from the axis of rotation
directly proportional to its radial distance from axis of rotation
inversely proportional to its radial distance from the axis of rotation
inversely proportional to the square of its radial distance from the axis of rotation

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