To obtain the lake evaporation in cm, the evaporation observed from an...
We know that Lake evaporation = Cp x Pan Evaporation
In case of ISI pan, CP = 0.80
So lake evaporation = 0.80 x 12.60 x 10 = 100.8 mm
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To obtain the lake evaporation in cm, the evaporation observed from an...
Given information:
- Evaporation observed from an ISI pan under similar climatic and exposure condition = 12.60 cm
Calculating Lake Evaporation:
To calculate the lake evaporation, we can use the concept of pan coefficient. The pan coefficient is the ratio of lake evaporation to pan evaporation. It represents the difference in evaporation rates between a lake and an ISI pan.
The formula to calculate lake evaporation is:
Lake Evaporation = Pan Evaporation / Pan Coefficient
Finding the Pan Coefficient:
To find the pan coefficient, we need to know the relationship between lake evaporation and pan evaporation. In this case, we are given the evaporation observed from the ISI pan, which is 12.60 cm. We can assume that the pan evaporation is equal to the evaporation observed from the ISI pan.
Using the given information:
Pan Evaporation = 12.60 cm
Now, we can substitute the values into the formula to find the lake evaporation:
Lake Evaporation = 12.60 cm / Pan Coefficient
Determining the Range:
To determine the range of lake evaporation, we need to know the range of the pan coefficient. The pan coefficient can vary depending on various factors such as wind speed, humidity, and temperature.
Based on the given answer options, the correct range can be determined as follows:
- Option 'A': 50-60
- Option 'B': 60-80
- Option 'C': 80-100
- Option 'D': 100-110
Choosing the Correct Option:
Since the pan evaporation is given as 12.60 cm and the lake evaporation is calculated using the pan coefficient, we need to find an option where the calculated lake evaporation falls within the given range.
By substituting the values into the formula, we find:
Lake Evaporation = 12.60 cm / Pan Coefficient
To fall within the range of 100-110 cm, the pan coefficient needs to be in the range of 12.60 cm / 110 cm to 12.60 cm / 100 cm.
Calculating the range:
Pan Coefficient = 12.60 cm / 110 cm to 12.60 cm / 100 cm
Pan Coefficient = 0.1145 to 0.126
Conclusion:
Based on the calculated range for the pan coefficient, the lake evaporation will fall within the range of 100-110 cm. Therefore, the correct answer is option 'D'.