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GATE 2023 ES – Question 34

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

An S-hydrograph uses3-hour unit hydrographs for 1 cm excess over 240 km². Find its equilibrium discharge in m³/s, to two decimals.

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Correct answer: 220.00 to 225.00

Explanation

At equilibrium, the repeated unit hydrographs represent continuous excess rainfall of .01 m every10800 s. Volume per block is $.01(240\times10^6)=2.4\times10^6$ m³. Divide by 10800 to obtain **222.22 m³/s**. This equilibrium rate follows directly from rainfall-excess volume conservation.

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