GATE CE 2015 Set 2 — Question 52
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Water Resources Engineering → Irrigation Systems & Water Need → Base Period
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Question
A field channel has cultivable commanded area of 2000 hectares. The intensities of irrigation for gram and wheat are 30% and 50% respectively. Gram has a kor period of 18 days, kor depth of 12 cm, while wheat has a kor period of 18 days and a kor depth of 15 cm. The discharge (in ) required in the field channel to supply water to the commanded area during the kor period is ___________
Correct answer
1.4 to 1.5
Solution
Step 1: Calculate the area for each crop.
Area for Gram () = hectares.
Area for Wheat () = hectares.Step 2: Calculate the duty () for each crop using the formula , where is the kor period in days and is the kor depth in meters.
For Gram: days, cm = 0.12 m.
hectares/cumec.
For Wheat: days, cm = 0.15 m.
hectares/cumec.Step 3: Calculate the discharge () required for each crop.
.
.Step 4: Calculate the total discharge required.
Total .The required discharge is approximately 1.43 , which falls within the range 1.4 to 1.5.
Area for Gram () = hectares.
Area for Wheat () = hectares.Step 2: Calculate the duty () for each crop using the formula , where is the kor period in days and is the kor depth in meters.
For Gram: days, cm = 0.12 m.
hectares/cumec.
For Wheat: days, cm = 0.15 m.
hectares/cumec.Step 3: Calculate the discharge () required for each crop.
.
.Step 4: Calculate the total discharge required.
Total .The required discharge is approximately 1.43 , which falls within the range 1.4 to 1.5.
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