GATE AG 2013 • Q42 MCQ • 2 Marks

Section 5: Irrigation and Drainage Engineering

Soil-Water-Plant Relationship

Subtopic: Water requirement of crops

Question Statement:

A 10 ha field has 1.2 m deep layer of sandy loam soil underlain by sandy soil up to a depth of 5 m. A pre-irrigation rainfall brings moisture content of the top 0.3 m layer to its field capacity. The moisture content of rest of the sandy loam layer remains at permanent wilting point. FC and PWP are 32% and 16% respectively for the sandy loam soil. The field is irrigated with a stream size of 240 L s⁻¹ for 24 hours. Considering the drainage from the sandy loam soil as deep percolation, application efficiency and deep percolation ratio in percent respectively are

Options:

  • (A) 56.40 and 43.60
  • (B) 69.44 and 30.56
  • (C) 75.18 and 24.82
  • (D) 92.60 and 7.40

Official Answer Key:

B

Step-by-Step Solution & Explanation

Volume of water applied = 240 L/s × 24×3600 s = 20,736,000 L = 20,736 m³. Water USEFULLY stored (raising the remaining 1.2−0.3=0.9 m sandy-loam layer, currently at PWP, up to FC) = (FC−PWP)×0.9m×Area = (0.32−0.16)×0.9×(10×10⁴ m²) = 0.144×100,000 = 14,400 m³. Application efficiency = useful storage/applied = 14,400/20,736 × 100 = 69.44%. Deep percolation ratio = 100−69.44 = 30.56%. Answer: (B). Section 6 — Agricultural Process Engineering

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