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During a particular stage of the growth of a crop, consumptive use of water is 28 mm/day. If the amount of water available in the soil is 25% of 80 mm depth of water, what is the frequency of irrigation?
  • a)
    9 days
  • b)
    13 days
  • c)
    21 days
  • d)
    25 days
Correct answer is option 'C'. Can you explain this answer?
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Given data:
- Consumptive use of water = 28 mm/day
- Water available in the soil = 25% of 80 mm (depth of water)

To find: Frequency of irrigation

Let's calculate the water available in the soil first.

Water available in the soil = (25/100) * 80 mm
= 20 mm

Now, let's calculate the time taken for the crop to use up the available water in the soil.

Time taken = Water available in the soil / Consumptive use of water
= 20 mm / 28 mm/day
≈ 0.71 days

Since the frequency of irrigation is usually given in days, let's round up the time taken to the nearest whole number.

Time taken ≈ 1 day

Therefore, the crop would require irrigation after approximately 1 day.

However, the question asks for the frequency of irrigation, which refers to the time interval between consecutive irrigations.

To find the frequency of irrigation, we need to subtract the time taken (1 day) from the total growth period of the crop.

Total growth period = 80 mm / 28 mm/day
≈ 2.86 days

Frequency of irrigation = Total growth period - Time taken
= 2.86 days - 1 day
= 1.86 days

To express the frequency of irrigation in a more practical way, we can round up the frequency to the nearest whole number.

Frequency of irrigation ≈ 2 days

Therefore, the crop needs to be irrigated approximately every 2 days.
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