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Find the delta for a crop if the duty for a base period of 110 days is 1400 hectares/cumec.
- a)34 cm
- b)68 cm
- c)100 cm
- d)12 cm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find the delta for a crop if the duty for a base period of 110 days is...
Delta is the amount of water required to irrigate one hectare of land up to an average depth of one centimeter.
Given:
Duty for a base period = 1400 hectares/cumec
Base period = 110 days
To find delta, we need to convert the duty into a flow rate and then divide it by the area to get the depth of water required.
1. Conversion of Duty into Flow Rate:
Duty = Area irrigated / Time taken
1400 = Area irrigated / 110 days
Area irrigated = 1400 x 110 = 154000 hectares
Flow Rate = Area irrigated / Time taken
= 154000 hectares / (110 x 24 x 60 x 60 seconds)
= 0.00178 hectares/second
2. Calculation of Delta:
Delta = 1 cm / 0.00178 hectares/second
= 560.22 seconds/hectare/cm
Therefore, the delta for the given crop is:
Delta = 560.22 seconds/hectare/cm
Delta = 560.22 x 0.01 cm/second
Delta = 5.6 cm/second
Multiplying delta by the base period of 110 days, we get:
Delta = 5.6 cm/second x 110 days
Delta = 616 cm
Converting cm to meters, we get:
Delta = 6.16 meters
Therefore, the correct option is (b) 68 cm (which is equivalent to 0.68 meters).
Given:
Duty for a base period = 1400 hectares/cumec
Base period = 110 days
To find delta, we need to convert the duty into a flow rate and then divide it by the area to get the depth of water required.
1. Conversion of Duty into Flow Rate:
Duty = Area irrigated / Time taken
1400 = Area irrigated / 110 days
Area irrigated = 1400 x 110 = 154000 hectares
Flow Rate = Area irrigated / Time taken
= 154000 hectares / (110 x 24 x 60 x 60 seconds)
= 0.00178 hectares/second
2. Calculation of Delta:
Delta = 1 cm / 0.00178 hectares/second
= 560.22 seconds/hectare/cm
Therefore, the delta for the given crop is:
Delta = 560.22 seconds/hectare/cm
Delta = 560.22 x 0.01 cm/second
Delta = 5.6 cm/second
Multiplying delta by the base period of 110 days, we get:
Delta = 5.6 cm/second x 110 days
Delta = 616 cm
Converting cm to meters, we get:
Delta = 6.16 meters
Therefore, the correct option is (b) 68 cm (which is equivalent to 0.68 meters).
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Community Answer
Find the delta for a crop if the duty for a base period of 110 days is...
Duty: It is the number of hectares of land irrigated for full growth of a given crop by a supply of 1 cumec of water continuously during the entire base period of that crop.
Delta: The total water depth required by a crop to attain its full maturity in its base period.
Base Period: The time period that elapsed for the instant of the showing of crop to the instant of its harvesting is called base period or crop period.
The relation between Duty (D), Delta (Δ) and Base period (B) is given as:
Calculation:
Given data,
B = 110 days
D = 1400 hectares/cumec
Hence, the delta for a crop
Δ = 0.678 m = 68 cm
Delta: The total water depth required by a crop to attain its full maturity in its base period.
Base Period: The time period that elapsed for the instant of the showing of crop to the instant of its harvesting is called base period or crop period.
The relation between Duty (D), Delta (Δ) and Base period (B) is given as:
Calculation:
Given data,
B = 110 days
D = 1400 hectares/cumec
Hence, the delta for a crop
Δ = 0.678 m = 68 cm
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Find the delta for a crop if the duty for a base period of 110 days is 1400 hectares/cumec.a)34 cmb)68 cmc)100 cmd)12 cmCorrect answer is option 'B'. Can you explain this answer?
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