GATE CE 2021 Set 2 — Question 58
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Water Resources Engineering → Hydrology & Precipitation → Infiltration
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Question
The hyetograph in the figure corresponds to a rainfall event of 3 cm.
If the rainfall event has produced a direct runoff of 1.6 cm, the -index of the event (in mm/hour, round off to one decimal place) would be ________.
Correct answer
4.2 to 4.2
Solution
Total rainfall cm = 30 mm.
Direct runoff cm = 16 mm.
Time interval hour.From the hyetograph, the rainfall intensities () in mm/hr for each 0.5 hr interval are:
Total rainfall check: mm. Correct.The -index is defined such that for all .Assume is between 4 and 4.5 mm/hr. Then are greater than .
mm/hr.Since is between 4 and 4.5, our assumption is correct.
-index = 4.2 mm/hour.
Direct runoff cm = 16 mm.
Time interval hour.From the hyetograph, the rainfall intensities () in mm/hr for each 0.5 hr interval are:
Total rainfall check: mm. Correct.The -index is defined such that for all .Assume is between 4 and 4.5 mm/hr. Then are greater than .
mm/hr.Since is between 4 and 4.5, our assumption is correct.
-index = 4.2 mm/hour.
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