GATE 2018 CE (CE1) – Question 32
A spillway is tested in a 1:50 laboratory model. Prototype discharge is 1000 m³/s. Neglect variation of gravity. Model discharge, to two decimals, is ______ m³/s.
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Correct answer: 0.05 to 0.06
Explanation
Free-surface gravity flow uses Froude similarity, giving discharge ratio $Q_m/Q_p=(1/50)^{5/2}$. Thus $Q_m=1000/50^{5/2}=0.05657$ m³/s, rounded to 0.06 m³/s.