Question Bank • QB_EXP_SWCE_FLR_002 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Flood Routing & Drought Analysis

Subtopic: Sum of Muskingum routing coefficients

Question Statement:

In the Muskingum channel routing equation $Q_{j+1} = C_0 I_{j+1} + C_1 I_j + C_2 Q_j$, the sum of coefficients $(C_0 + C_1 + C_2)$ must strictly equal:

Options:

  • (A) $1.0$
  • (B) $0.0$
  • (C) $2.0$
  • (D) $K / \Delta t$

Answer Key:

A

Step-by-Step Solution & Explanation

From the continuity equation for steady state where inflow equals outflow ($I_j = I_{j+1} = Q_j = Q_{j+1} = Q$), $Q = (C_0 + C_1 + C_2) Q$, which requires: $C_0 + C_1 + C_2 = 1.0$.
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