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GATE 2022 ES – Question 35

Water Resources and Environmental Hydraulics · Surface Water Resources · 1 mark · Numerical answer

A triangular2-hour unit hydrograph for 1 cm excess over 540 ha is shown. Find peak discharge in m³/s, to one decimal.

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Correct answer: 10.0 to 10.0

Explanation

The figure has a 1-hour rising limb and 2-hour falling limb, so total base is 3 h=10800 s. Excess volume=.01(540×10000)=54000 m³. Equate triangular hydrograph volume $Q_p(10800)/2=54000$ to obtain **10.0 m³/s**. “2-hour” describes excess-rain duration, not the hydrograph base.

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