GATE AG 2007 • Q45 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow through orifices, weirs and notches

Question Statement:

The discharge through a 90° V-notch for a head of 0.5 m and coefficient of discharge of 0.6 is

Options:

  • (A) 0.25 m³ s⁻¹
  • (B) 0.50 m³ s⁻¹
  • (C) 0.65 m³ s⁻¹
  • (D) 0.75 m³ s⁻¹

Official Answer Key:

A

Step-by-Step Solution & Explanation

For a 90° V-notch: Q = (8/15)·C_d·√(2g)·tan(45°)·H^(5/2) = (8/15)(0.6)(4.429)(1)(0.5)^2.5 = 1.4172 × 0.1768 = ≈0.25 m³/s.

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