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A water course commands an irrigated area of 800 hectares. The intensity of irrigation of rice this area is 55%. The transplantation of tice takes 12 days and total depth of water required by the crop is 45 cm on the field during the transplantation period. During the transplantation period, the useful rain falling on the field is 10 cm, then the discharge required in the water course, if losses of water is to be 20% in the water course, is _______cumec.
  • a)
    0.685
  • b)
    6.885
  • c)
    2.86
  • d)
    1.86
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A water course commands an irrigated area of 800 hectares. The intensi...
As we know the relation

Here, B = 12 days
∆ = 45 – 10 = 35 cm or 0.35 m
D = Duty of irrigation water in hectares/cumec

=296.23 hactares/ cumec
Since, the losses in the canal are 20%
Hence, the duty of water at the head of the water course = 296.23 x 0.80 = 236.98 hectares/cumec
Now, total area under rice plantation = 800 x 0.55 = 440 hectares
So, discharge at the head of water course 
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Most Upvoted Answer
A water course commands an irrigated area of 800 hectares. The intensi...
Given data:
Irrigated area = 800 hectares
Intensity of irrigation of rice = 55%
Transplantation period = 12 days
Depth of water required by the crop = 45 cm
Useful rain falling on the field during transplantation period = 10 cm
Losses of water in the water course = 20%

We need to find the discharge required in the water course.

Calculation:
1 hectare = 10,000 sq.m
Area of irrigated land = 800 x 10,000 sq.m = 8,000,000 sq.m
Intensity of irrigation of rice = 55%
Hence, the area under rice cultivation = 55% of 8,000,000 sq.m = 4,400,000 sq.m

Depth of water required by the crop = 45 cm
Hence, the volume of water required = 4,400,000 x 0.45 = 1,980,000 cubic meters

Useful rain falling on the field during transplantation period = 10 cm
Hence, the volume of useful rain = 4,400,000 x 0.10 = 440,000 cubic meters

Total volume of water required = 1,980,000 - 440,000 = 1,540,000 cubic meters

Losses of water in the water course = 20%
Hence, the actual volume of water required = 1.2 x 1,540,000 = 1,848,000 cubic meters

Transplantation period = 12 days
Hence, the discharge required in the water course = actual volume of water required / duration of transplantation period
= 1,848,000 / (12 x 24 x 3600) cumec
= 1.86 cumec

Therefore, the discharge required in the water course, if losses of water is to be 20% in the water course, is 1.86 cumec.
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A water course commands an irrigated area of 800 hectares. The intensity of irrigation of rice this area is 55%. The transplantation of tice takes 12 days and total depth of water required by the crop is 45 cm on the field during the transplantation period. During the transplantation period, the useful rain falling on the field is 10 cm, then the discharge required in the water course, if losses of water is to be 20% in the water course, is _______cumec.a)0.685b)6.885c)2.86d)1.86Correct answer is option 'D'. Can you explain this answer?
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A water course commands an irrigated area of 800 hectares. The intensity of irrigation of rice this area is 55%. The transplantation of tice takes 12 days and total depth of water required by the crop is 45 cm on the field during the transplantation period. During the transplantation period, the useful rain falling on the field is 10 cm, then the discharge required in the water course, if losses of water is to be 20% in the water course, is _______cumec.a)0.685b)6.885c)2.86d)1.86Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A water course commands an irrigated area of 800 hectares. The intensity of irrigation of rice this area is 55%. The transplantation of tice takes 12 days and total depth of water required by the crop is 45 cm on the field during the transplantation period. During the transplantation period, the useful rain falling on the field is 10 cm, then the discharge required in the water course, if losses of water is to be 20% in the water course, is _______cumec.a)0.685b)6.885c)2.86d)1.86Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water course commands an irrigated area of 800 hectares. The intensity of irrigation of rice this area is 55%. The transplantation of tice takes 12 days and total depth of water required by the crop is 45 cm on the field during the transplantation period. During the transplantation period, the useful rain falling on the field is 10 cm, then the discharge required in the water course, if losses of water is to be 20% in the water course, is _______cumec.a)0.685b)6.885c)2.86d)1.86Correct answer is option 'D'. Can you explain this answer?.
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