GATE CE 2022 Set 2 — Question 34
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Water Resources Engineering → Hydrographs & Groundwater → Flood Estimation
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Question
A flood control structure having an expected life of years is designed by considering a flood of return period years. When , and , the structure’s hydrologic risk of failure in percentage is _______. (round off to one decimal place)
Correct answer
63 to 63.5
Solution
The hydrologic risk of failure () of a structure with an expected life of years for a flood of return period is given by:where is the probability of occurrence in any given year, .
Given that , we have .
Substituting this into the risk formula:As , the term approaches .In percentage, the risk is:Rounding off to one decimal place, we get 63.2.
Given that , we have .
Substituting this into the risk formula:As , the term approaches .In percentage, the risk is:Rounding off to one decimal place, we get 63.2.
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