GATE AG 2019 • Q19 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Hydrology

Subtopic: Drought and its classification

Question Statement:

Hydrology: Hydrological cycle and measurement of its components; meteorological parameters and their measurement; analysis of precipitation data; runoff estimation; hydrograph analysis, unit hydrograph theory and application; stream flow measurement; flood routing, hydrological reservoir and channel routing, Infiltration – indices and equations, drought and its classification. In the Muskingum method of channel routing, Q2 = C0I2 + C1I1 + C2Q1. If K = 12 h, x = 0.15, Δt = 4 h, the coefficient C0 is

Options:

  • (A) 0.016
  • (B) 0.048
  • (C) 0.328
  • (D) 0.656

Official Answer Key:

A

Step-by-Step Solution & Explanation

Muskingum coefficients: C0 = (−Kx + 0.5Δt)/(K − Kx + 0.5Δt). Kx = 12 × 0.15 = 1.8. Denominator = K − Kx + 0.5Δt = 12 − 1.8 + 2 = 12.2. Numerator = −1.8 + 2 = 0.2. C0 = 0.2/12.2 = 0.0164 ≈ 0.016. Answer: (A) 0.016.

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