GATE CE 2024 Set 2 — Question 56
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Water Resources Engineering → Hydrology & Precipitation → Infiltration
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Question
A storm with a recorded precipitation of , as shown in the table, produced a direct run-off of .
The -index of this storm is ____________ (rounded off to 2 decimal places).
| Time from start (hours) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Recorded cumulative precipitation (cm) | 0.5 | 1.5 | 3.1 | 5.5 | 7.3 | 8.9 | 10.2 | 11.0 |
Correct answer
0.64 to 0.65
Solution
1.Calculate total precipitation () and total run-off ():
, .2.Calculate total infiltration ():
.3.Calculate rainfall intensities () for each hour:
5.Since , exclude the first hour. The effective rainfall duration .
6.Recalculate using only periods where :
.7.Check remaining intensities: all are . Thus, .
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