GATE AG 2011 • Q49 MCQ • 2 Marks

Section 5: Irrigation and Drainage Engineering

Irrigation Water Conveyance and Application Methods

Subtopic: Irrigation efficiencies

Question Statement:

The pump is driven by an electric motor. If the pump, drive and motor efficiencies are 80%, 82% and 90% respectively, the required size of electric motor in horse-power will be

Options:

  • (A) 20.0
  • (B) 24.5
  • (C) 30.0
  • (D) 33.5

Official Answer Key:

D

Step-by-Step Solution & Explanation

Hydraulic (water) power delivered by the pump = ρgQh = 1000×9.81×(270/3600)×20 = 14,715 W. Overall efficiency (pump×drive×motor) = 0.80×0.82×0.90 = 0.5904. Required electrical input power = 14,715/0.5904 ≈ 24,924 W = 24.92 kW. Converting to horsepower (1 hp = 745.7 W): 24,924/745.7 ≈ 33.4 ≈ 33.5 hp, matching option (D). Section 6 — Agricultural Process Engineering 7 question(s) in this section: Q.23, Q.42, Q.44, Q.46, Q.47, Q.54, Q.55

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