GATE AG 2023 • Q25 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Hydrology

Subtopic: Analysis of precipitation data

Question Statement:

The information needed for estimating the design flood using Rational formula is

Options:

  • (A) cumulative infiltration
  • (B) antecedent moisture condition of soil
  • (C) shape factor of the catchment
  • (D) time of concentration of the catchment

Official Answer Key:

D

Step-by-Step Solution & Explanation

The Rational formula, Q_p = C×i×A (runoff coefficient × rainfall intensity × catchment area), assumes peak flow occurs when the entire catchment is contributing, which happens at a rainfall duration equal to the catchment's time of concentration (t_c) — the rainfall intensity i used in the formula is specifically the intensity for a duration = t_c. Hence time of concentration is essential input data. Cumulative infiltration (A), antecedent moisture condition (B), and catchment shape factor (C) are not direct inputs to the basic Rational method (infiltration/AMC effects are lumped into the empirical runoff coefficient C, not measured separately; shape factor is used in other methods like the SCS or Snyder's synthetic unit hydrograph, not the Rational formula). Answer: (D).

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