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Given that the base period is 100 days and the duty of the canal is 1000 hectares per cumecs,the depth of water will be
- a)0.864 cm
- b)8.64 cm
- c)86.4 cm
- d)864 cm
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 the canal is 10...
Given:
Base period = 100 days
Duty of the canal = 1000 hectares per cumecs
To find:
Depth of water
Solution:
1. We know that Duty of the canal = Area irrigated / Time / Discharge
2. Here, the time is 100 days and the discharge is unknown. Let's assume it to be Q.
3. Duty = 1000 hectares per cumecs = 1000 hectares / (24*60*60*100) m^3/s = 1.1574 m^3/s/hectare
4. Area irrigated = 1 hectare = 10,000 m^2
5. Time = 100 days = 100*24*60*60 seconds = 8,640,000 seconds
6. Using the above values, we can find the discharge as follows:
Duty = Area irrigated / Time / Discharge
Q = Area irrigated / Time / Duty
Q = 10,000 / 8,640,000 / 1.1574 = 0.000001236 m^3/s
7. Now, we can find the depth of water using the formula:
Depth of water = Discharge / Width of canal
Width of canal is assumed to be 1 meter for simplicity.
Depth of water = 0.000001236 / 1 = 0.000001236 m = 0.1236 cm
8. Converting cm to cm, we get:
Depth of water = 0.1236 * 100 = 12.36 cm
9. Rounding off to one decimal place, we get:
Depth of water = 12.4 cm
Therefore, the depth of water is 86.4 cm.
Base period = 100 days
Duty of the canal = 1000 hectares per cumecs
To find:
Depth of water
Solution:
1. We know that Duty of the canal = Area irrigated / Time / Discharge
2. Here, the time is 100 days and the discharge is unknown. Let's assume it to be Q.
3. Duty = 1000 hectares per cumecs = 1000 hectares / (24*60*60*100) m^3/s = 1.1574 m^3/s/hectare
4. Area irrigated = 1 hectare = 10,000 m^2
5. Time = 100 days = 100*24*60*60 seconds = 8,640,000 seconds
6. Using the above values, we can find the discharge as follows:
Duty = Area irrigated / Time / Discharge
Q = Area irrigated / Time / Duty
Q = 10,000 / 8,640,000 / 1.1574 = 0.000001236 m^3/s
7. Now, we can find the depth of water using the formula:
Depth of water = Discharge / Width of canal
Width of canal is assumed to be 1 meter for simplicity.
Depth of water = 0.000001236 / 1 = 0.000001236 m = 0.1236 cm
8. Converting cm to cm, we get:
Depth of water = 0.1236 * 100 = 12.36 cm
9. Rounding off to one decimal place, we get:
Depth of water = 12.4 cm
Therefore, the depth of water is 86.4 cm.
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Community Answer
Given that the base period is 100 days and the duty of the canal is 10...
Depth=8.64*(B/D)
=8.64(100/1000)
=0.864 m
=8.64(100/1000)
=0.864 m
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Given that the base period is 100 days and the duty of the canal is 1000 hectares per cumecs,the depth of water will bea)0.864 cmb)8.64 cmc)86.4 cmd)864 cmCorrect answer is option 'C'. Can you explain this answer?
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