GATE AG 2007 • Q53 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow in open channels

Question Statement:

A 50 km long canal with an average width of 25 m is used for irrigation. Mean daily evaporation as measured from a Class A evaporation pan is 5 mm d⁻¹. Considering the pan coefficient as 0.80, the mean daily evaporation loss from this canal is

Options:

  • (A) 5.00 × 10³ m³ d⁻¹
  • (B) 6.25 × 10³ m³ d⁻¹
  • (C) 5.00 × 10⁴ m³ d⁻¹
  • (D) 6.25 × 10⁴ m³ d⁻¹

Official Answer Key:

A

Step-by-Step Solution & Explanation

Actual (canal) evaporation = pan evaporation × pan coefficient = 5×0.80 = 4 mm/d = 0.004 m/d. Canal surface area = 50,000 m × 25 m = 1.25×10⁶ m². Loss = area × depth = 1.25×10⁶ × 0.004 = 5.00×10³ m³/d.

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