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GATE 2024 ES – Question 27

Water Resources and Environmental Hydraulics · Environmental Hydraulics · 1 mark · Multiple select

A rectangular channel has critical flow at depth 2 m. Select the correct statements.

  1. Specific energy3.0 m
  2. Specific energy2.0 m
  3. Froude number1.0
  4. Froude number1.5

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Show answer and explanation

Correct answer: (A) Specific energy3.0 m; (C) Froude number1.0

Explanation

At critical flow,$Fr=1$. For a rectangular section,$v_c^2=gy_c$,so specific energy $E_c=y_c+v_c^2/(2g)=3y_c/2=3$ m at depth 2 m. Hence the correct statements are **A, C**.

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