A 1 : 50 scale model of a spillway is to be tested in the laboratory. The discharge in the prototype is $1000 m^{3} / s$ . The discharge to be maintained in the model test is

0.057 m^{3} / s

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0.08 m^{3} / s

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0.57 m^{3} / s

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5.7 m^{3} / s

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Solution

The correct option is A $0.057 m^{3} / s$
Froude model law will be applicable in this case.

$\frac{Q_{m}}{Q_{p}} = (\frac{L_{m}}{L_{p}})^{5 / 2}$

$\Rightarrow Q_{m} = 1000 \times (\frac{1}{50})^{2.5}$

$= 0.057 m^{3} / s e c$

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