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If the depth is 8.64 cm on a field over a base period of 10 days, then the duty is
- a)10 hectares per cu.m/s
- b)1000 hectares per cu.m/s
- c)100 hectares per cu/m/s
- d)864 hectares per cum/s
Correct answer is option 'C'. Can you explain this answer?
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Duty Calculation:
The duty of a field is a measure of the amount of water required to irrigate a unit area of land per unit time. It is often expressed in hectares per cubic meter per second (ha/m³/s).
Given:
- Depth of water = 8.64 cm
- Base period = 10 days
To calculate the duty, we need to convert the depth of water into volume and then divide it by the product of the base period and the area of the field.
Step 1: Convert depth to volume:
Depth of water = 8.64 cm = 0.0864 m (1 cm = 0.01 m)
Volume = Area × Depth = 1 m² × 0.0864 m = 0.0864 m³
Step 2: Calculate duty:
Duty = Volume / (Base period × Area)
Since the area is not given in the question, we cannot calculate the exact duty. However, we can determine the duty per unit area.
Step 3: Calculate duty per unit area:
Duty per unit area = Duty / Area
Let's assume the area of the field is 1 hectare (10,000 m²) for simplicity.
Duty per unit area = (0.0864 m³) / (10 days × 10,000 m²)
Now, let's convert the duty per unit area to hectares per cubic meter per second (ha/m³/s):
Duty per unit area = (0.0864 m³) / (10 days × 10,000 m²) × (1 ha / 10,000 m²) × (1 day / 24 hours) × (1 hour / 3600 seconds)
Simplifying the units:
Duty per unit area = (0.0864 m³) / (10 days × 10,000 m²) × (1 ha / 10,000 m²) × (1 day / 24 hours) × (1 hour / 3600 seconds)
= 0.0864 / (10 × 24 × 3600) ha/m³/s
= 0.0001 ha/m³/s
Therefore, the duty per unit area is 0.0001 ha/m³/s or 100 hectares per cubic meter per second (100 ha/m³/s).
Hence, the correct answer is option C: 100 hectares per cu/m/s.
The duty of a field is a measure of the amount of water required to irrigate a unit area of land per unit time. It is often expressed in hectares per cubic meter per second (ha/m³/s).
Given:
- Depth of water = 8.64 cm
- Base period = 10 days
To calculate the duty, we need to convert the depth of water into volume and then divide it by the product of the base period and the area of the field.
Step 1: Convert depth to volume:
Depth of water = 8.64 cm = 0.0864 m (1 cm = 0.01 m)
Volume = Area × Depth = 1 m² × 0.0864 m = 0.0864 m³
Step 2: Calculate duty:
Duty = Volume / (Base period × Area)
Since the area is not given in the question, we cannot calculate the exact duty. However, we can determine the duty per unit area.
Step 3: Calculate duty per unit area:
Duty per unit area = Duty / Area
Let's assume the area of the field is 1 hectare (10,000 m²) for simplicity.
Duty per unit area = (0.0864 m³) / (10 days × 10,000 m²)
Now, let's convert the duty per unit area to hectares per cubic meter per second (ha/m³/s):
Duty per unit area = (0.0864 m³) / (10 days × 10,000 m²) × (1 ha / 10,000 m²) × (1 day / 24 hours) × (1 hour / 3600 seconds)
Simplifying the units:
Duty per unit area = (0.0864 m³) / (10 days × 10,000 m²) × (1 ha / 10,000 m²) × (1 day / 24 hours) × (1 hour / 3600 seconds)
= 0.0864 / (10 × 24 × 3600) ha/m³/s
= 0.0001 ha/m³/s
Therefore, the duty per unit area is 0.0001 ha/m³/s or 100 hectares per cubic meter per second (100 ha/m³/s).
Hence, the correct answer is option C: 100 hectares per cu/m/s.
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If the depth is 8.64 cm on a field over a base period of 10 days, then the duty isa)10 hectares per cu.m/sb)1000 hectares per cu.m/sc)100 hectares per cu/m/sd)864 hectares per cum/sCorrect answer is option 'C'. Can you explain this answer?
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