GATE AG 2016 • Q6 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Hydrology

Subtopic: Drought and its classification

Question Statement:

A watershed area of 1851 hectare has maximum distance of 7.12 km from the outlet to the farthest point on the divide line. The form factor of the watershed is

Options:

  • (A) 2.60
  • (B) 2.73
  • (C) 0.365
  • (D) 0.385

Official Answer Key:

C

Step-by-Step Solution & Explanation

Form factor Ff = A/L², where A is the watershed area (in km²) and L is the maximum length of the watershed. A = 1851 ha = 18.51 km²; L = 7.12 km. Ff = 18.51/7.12² = 18.51/50.69 = 0.365 → option (C). Option (D) is close but slightly high (rounding); options (A)/(B) are the reciprocal (L²/A), a common inversion error.

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