Dickens formula constant for high-flood estimation In Dickens’ regional flood formula Q = C * A^(3/4), an average value of the constant C commonly adopted for high-flood estimates is approximately:

Difficulty: Easy

Correct Answer: 11.5

Explanation:

Introduction / Context:Empirical regional flood formulas like Dickens’ are used for preliminary peak-discharge estimation where gauge data are sparse. The coefficient C captures regional rainfall and catchment response.

Given Data / Assumptions:

  • Dickens’ formula: Q = C * A^(3/4), with Q in m^3/s and A in km^2.
  • “Average” value of C for high-flood estimation in many Indian regions.

Concept / Approach:While C varies geographically (mountainous vs coastal vs inland basins), guidance texts often suggest a representative average near 11 to 12 for high floods where local calibration is unavailable.

Step-by-Step Solution:

Recognize that among the given choices, 11.5 best represents the widely cited average for high floods.

Verification / Alternative check:Regional hydrology manuals list ranges (e.g., 6–30) with typical values around 11 for many basins; selection depends on local context.

Why Other Options Are Wrong:

  • 6.5–10.5 are on the lower side and may underpredict high floods in many regions.
  • Values significantly different should be justified by local calibration rather than treated as average.

Common Pitfalls:Using a single C universally without checking basin characteristics; empirical formulas are rough tools.

Final Answer:11.5

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