GATE AG 2007 • Q74 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow in open channels

Question Statement:

A discharge of 10 m³ s⁻¹ passes through a 4 m wide rectangular channel at a depth of 1.25 m. The slope of the channel is 9.08 × 10⁻³. The specific energy of flowing water is

Options:

  • (A) 1.25 m
  • (B) 1.45 m
  • (C) 2.25 m
  • (D) 3.25 m

Official Answer Key:

B

Step-by-Step Solution & Explanation

Velocity, v = Q/A = 10/(4×1.25) = 2.0 m/s. Specific energy, E = y + v²/2g = 1.25 + (2.0)²/(2×9.81) = 1.25+0.204 = 1.45 m.

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