The error in discharge ( dQQ ) to the error in measurement of head ( dHH ) over a rectangular notch is given by

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Hydraulics and Fluid Mechanics in ME

The error in discharge $$\left( {\frac{{{\text{dQ}}}}{{\text{Q}}}} \right)$$ to the error in measurement of head $$\left( {\frac{{{\text{dH}}}}{{\text{H}}}} \right)$$ over a rectangular notch is given by

A) $$\frac{{{\text{dQ}}}}{{\text{Q}}} = \frac{1}{2} \times \frac{{{\text{dH}}}}{{\text{H}}}$$ B) $$\frac{{{\text{dQ}}}}{{\text{Q}}} = \frac{3}{4} \times \frac{{{\text{dH}}}}{{\text{H}}}$$ C) $$\frac{{{\text{dQ}}}}{{\text{Q}}} = \frac{{{\text{dH}}}}{{\text{H}}}$$ D) $$\frac{{{\text{dQ}}}}{{\text{Q}}} = \frac{3}{2} \times \frac{{{\text{dH}}}}{{\text{H}}}$$

Answer & Solution

Correct Answer: Option D

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The error in discharge left( frac text dQ text Q right)...

The error in discharge $$\left( {\frac{{{\text{dQ}}}}{{\text{Q}}}} \right)$$ to the error in measurement of head $$\left( {\frac{{{\text{dH}}}}{{\text{H}}}} \right)$$ over a rectangular notch is given by

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