GATE AG 2008 • Q34 MCQ • 2 Marks

Section 4: Soil and Water Conservation Engineering

Soil and Water Erosion

Subtopic: Gully control structures – drop, drop inlet and chute spillways

Question Statement:

The velocity of flow of water through a drop inlet pipe spillway is 4 m s⁻¹ and the friction loss coefficient is 0.12. Maximum slope that can be provided to the pipe to maintain pipe flow condition is

Options:

  • (A) 8.9%
  • (B) 9.8%
  • (C) 10.3%
  • (D) 10.8%

Official Answer Key:

B

Step-by-Step Solution & Explanation

For the pipe to flow full under gravity at constant velocity, the bed slope must supply the friction head loss, i.e. S = f·V²/2g = 0.12×4²/(2×9.81) = 1.92/19.62 = 0.0979 ≈ 9.8%.

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