GATE AG 2013 • Q55 MCQ • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow through orifices, weirs and notches

Question Statement:

In an experimental setup, the discharge through a triangular notch is 0.0074 m³ s⁻¹ at an operating head of 0.1 m. The coefficient of discharge for the notch is 0.7. If the required discharge is 0.1 m³ s⁻¹, the corresponding width of water surface in m is

Options:

  • (A) 0.80
  • (B) 0.099
  • (C) 0.00043
  • (D) 0.00086

Official Answer Key:

A

Step-by-Step Solution & Explanation

For a triangular (V) notch, the width of the water surface at head h is W = 2h·tan(θ/2). Using h = 0.283 m (from Q.54) and tan(θ/2) = 1.415 (from Q.54): W = 2×0.283×1.415 = 0.80 m. Answer: (A). Section 5 — Irrigation and Drainage Engineering

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