Question

Using Dicken's formula with the constant C as 12, the flood discharge for a catchment area of 16 km$^2$ is

• A. 1.33 cumecs
• B. 48 cumecs
• C. 96 cumecs
• D. 192 cumecs

Hint:

Memorize the main empirical flood formulas and their exponents:
- Dicken's Formula: $Q_p = C A^{3/4}$
- Ryve's Formula: $Q_p = C A^{2/3}$
- Inglis Formula: $Q_p = \frac{124 A}{\sqrt{A+10.24}}$
Make sure to use the correct area units (usually km$^2$) for each formula.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
C=12, A=16 km². Find peak flood using Dicken's formula.

Step 2: Key Formula (Alternate):
Q_p = C × A^(3/4). Used for catchments in North/Central India. A in km², Q in cumecs.

Step 3: Detailed Explanation:
16^(3/4) = (16^(1/4))³ = 2³ = 8. Q = 12×8 = 96 m³/s. Compare: Ryve's formula Q = C×A^(2/3) for South India. Inglis formula for Western Ghats.

Step 4: Final Answer:
96 cumecs.