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GATE 2026 AG – Question 64

Irrigation and Drainage Engineering · Soil-Water-Plant Relationship · 2 marks · Numerical answer

A crop has four 25-day stages:initial, grand growth, mid-season and late-season. Its crop coefficient rises linearly from .4 in the initial stage to 1.2 in mid-season. Reference evapotranspiration on day 40 is 8 mm. Find actual crop evapotranspiration on that day, in mm, to two decimals.

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Correct answer: 6.80 to 7.10

Explanation

Use the standard stage convention:the initial coefficient .4 holds through day 25,and the linear development rise reaches 1.2 at day 50,when mid-season begins. Day 40 is 15 days into the 25-day rise, so $K_c=.4+(1.2-.4)(15/25)=.88$. Crop ET is $ET_c=K_cET_0=.88(8)=\mathbf{7.04}$ mm. The endpoint interpretation is stated because the source’s description of the stagewise variation is abbreviated.

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