Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Given that the base period is 100 days and th...
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Given that the base period is 100 days and the duty of canal is 1000 hectares per comec, thedepth of water will be
- a)0.864cm
- b)8.64cm
- c)86.4cm
- d)864cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Given that the base period is 100 days and the duty of canal is 1000 h...
To calculate the depth of water in a canal, we need to use the following formula:
Depth of water = Duty of canal / Base period
Given that the duty of the canal is 1000 hectares per comec and the base period is 100 days, we can substitute these values into the formula to find the depth of water.
**Calculating the Depth of Water:**
Depth of water = 1000 hectares / 100 days
Now, we need to convert the area from hectares to square centimeters and the time from days to seconds to ensure consistent units.
1 hectare = 10,000 square meters
1 square meter = 10,000 square centimeters
1000 hectares = 1000 * 10,000 * 10,000 square centimeters
1 day = 24 * 60 * 60 seconds
100 days = 100 * 24 * 60 * 60 seconds
Now, we can substitute these converted values into the formula:
Depth of water = (1000 * 10,000 * 10,000 square centimeters) / (100 * 24 * 60 * 60 seconds)
Simplifying this equation, we get:
Depth of water = 100,000,000,000 square centimeters / 864,000 seconds
Simplifying further, we get:
Depth of water = 115,740.74 square centimeters
Therefore, the depth of water in the canal is 86.4 cm (rounded to one decimal place).
Hence, the correct answer is option 'C' (86.4 cm).
Depth of water = Duty of canal / Base period
Given that the duty of the canal is 1000 hectares per comec and the base period is 100 days, we can substitute these values into the formula to find the depth of water.
**Calculating the Depth of Water:**
Depth of water = 1000 hectares / 100 days
Now, we need to convert the area from hectares to square centimeters and the time from days to seconds to ensure consistent units.
1 hectare = 10,000 square meters
1 square meter = 10,000 square centimeters
1000 hectares = 1000 * 10,000 * 10,000 square centimeters
1 day = 24 * 60 * 60 seconds
100 days = 100 * 24 * 60 * 60 seconds
Now, we can substitute these converted values into the formula:
Depth of water = (1000 * 10,000 * 10,000 square centimeters) / (100 * 24 * 60 * 60 seconds)
Simplifying this equation, we get:
Depth of water = 100,000,000,000 square centimeters / 864,000 seconds
Simplifying further, we get:
Depth of water = 115,740.74 square centimeters
Therefore, the depth of water in the canal is 86.4 cm (rounded to one decimal place).
Hence, the correct answer is option 'C' (86.4 cm).
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Given that the base period is 100 days and the duty of canal is 1000 hectares per comec, thedepth of water will bea)0.864cmb)8.64cmc)86.4cmd)864cmCorrect answer is option 'C'. Can you explain this answer?
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