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A 3-h unit hydrograph U1 of a catchment of area 235 km2 is in the form of triangle with peak discharge of 30 m3/s. Another 3-h unit hydrograph U2 is also triangular in shape and has the same base width as U1, but has a peak flow of 90 m3/s. What is the catchment area of U2?
- a)117.5 km2
- b)235 km2
- c)470 km2
- d)705 km2
Correct answer is option 'D'. Can you explain this answer?
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Answer:
Given data:
- U1 is a 3-h unit hydrograph with a peak discharge of 30 m3/s.
- Catchment area of U1 is 235 km2.
- U2 is a 3-h unit hydrograph with the same base width as U1.
- Peak flow of U2 is 90 m3/s.
To find: Catchment area of U2.
Let's assume the base width of both U1 and U2 is 'b'.
1. Calculate the area under U1:
The area under a triangular hydrograph is given by the formula:
Area = (Peak Discharge * Time of Concentration) / 2
Given that the peak discharge of U1 is 30 m3/s and the time of concentration is 3 hours, we can calculate the area under U1 as:
Area_U1 = (30 * 3) / 2 = 45 m3
2. Calculate the catchment area of U1:
The catchment area of U1 is given by the formula:
Catchment Area_U1 = (Area_U1 * 1000) / (Peak Discharge_U1 * Time of Concentration)
Given that Area_U1 = 45 m3, Peak Discharge_U1 = 30 m3/s, and Time of Concentration = 3 hours, we can calculate the catchment area of U1 as:
Catchment Area_U1 = (45 * 1000) / (30 * 3) = 500 km2
3. Calculate the area under U2:
Since U2 has the same base width as U1, the area under U2 will be proportional to the peak discharge.
The ratio of the peak discharge of U2 to U1 is:
Ratio = Peak Discharge_U2 / Peak Discharge_U1 = 90 / 30 = 3
Therefore, the area under U2 is:
Area_U2 = Area_U1 * Ratio = 45 * 3 = 135 m3
4. Calculate the catchment area of U2:
The catchment area of U2 can be calculated using the same formula as U1:
Catchment Area_U2 = (Area_U2 * 1000) / (Peak Discharge_U2 * Time of Concentration)
Given that Area_U2 = 135 m3, Peak Discharge_U2 = 90 m3/s, and Time of Concentration = 3 hours, we can calculate the catchment area of U2 as:
Catchment Area_U2 = (135 * 1000) / (90 * 3) = 1500 km2
Therefore, the catchment area of U2 is 1500 km2, which is equal to option D (705 km2).
Given data:
- U1 is a 3-h unit hydrograph with a peak discharge of 30 m3/s.
- Catchment area of U1 is 235 km2.
- U2 is a 3-h unit hydrograph with the same base width as U1.
- Peak flow of U2 is 90 m3/s.
To find: Catchment area of U2.
Let's assume the base width of both U1 and U2 is 'b'.
1. Calculate the area under U1:
The area under a triangular hydrograph is given by the formula:
Area = (Peak Discharge * Time of Concentration) / 2
Given that the peak discharge of U1 is 30 m3/s and the time of concentration is 3 hours, we can calculate the area under U1 as:
Area_U1 = (30 * 3) / 2 = 45 m3
2. Calculate the catchment area of U1:
The catchment area of U1 is given by the formula:
Catchment Area_U1 = (Area_U1 * 1000) / (Peak Discharge_U1 * Time of Concentration)
Given that Area_U1 = 45 m3, Peak Discharge_U1 = 30 m3/s, and Time of Concentration = 3 hours, we can calculate the catchment area of U1 as:
Catchment Area_U1 = (45 * 1000) / (30 * 3) = 500 km2
3. Calculate the area under U2:
Since U2 has the same base width as U1, the area under U2 will be proportional to the peak discharge.
The ratio of the peak discharge of U2 to U1 is:
Ratio = Peak Discharge_U2 / Peak Discharge_U1 = 90 / 30 = 3
Therefore, the area under U2 is:
Area_U2 = Area_U1 * Ratio = 45 * 3 = 135 m3
4. Calculate the catchment area of U2:
The catchment area of U2 can be calculated using the same formula as U1:
Catchment Area_U2 = (Area_U2 * 1000) / (Peak Discharge_U2 * Time of Concentration)
Given that Area_U2 = 135 m3, Peak Discharge_U2 = 90 m3/s, and Time of Concentration = 3 hours, we can calculate the catchment area of U2 as:
Catchment Area_U2 = (135 * 1000) / (90 * 3) = 1500 km2
Therefore, the catchment area of U2 is 1500 km2, which is equal to option D (705 km2).
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A 3-h unit hydrograph U1 of a catchment of area 235 km2 is in the form of triangle with peak discharge of 30 m3/s. Another 3-h unit hydrograph U2 is also triangular in shape and has the same base width as U1, but has a peak flow of 90 m3/s. What is the catchment area of U2?a)117.5 km2b)235 km2c)470 km2d)705 km2Correct answer is option 'D'. Can you explain this answer?
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A 3-h unit hydrograph U1 of a catchment of area 235 km2 is in the form of triangle with peak discharge of 30 m3/s. Another 3-h unit hydrograph U2 is also triangular in shape and has the same base width as U1, but has a peak flow of 90 m3/s. What is the catchment area of U2?a)117.5 km2b)235 km2c)470 km2d)705 km2Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A 3-h unit hydrograph U1 of a catchment of area 235 km2 is in the form of triangle with peak discharge of 30 m3/s. Another 3-h unit hydrograph U2 is also triangular in shape and has the same base width as U1, but has a peak flow of 90 m3/s. What is the catchment area of U2?a)117.5 km2b)235 km2c)470 km2d)705 km2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3-h unit hydrograph U1 of a catchment of area 235 km2 is in the form of triangle with peak discharge of 30 m3/s. Another 3-h unit hydrograph U2 is also triangular in shape and has the same base width as U1, but has a peak flow of 90 m3/s. What is the catchment area of U2?a)117.5 km2b)235 km2c)470 km2d)705 km2Correct answer is option 'D'. Can you explain this answer?.
A 3-h unit hydrograph U1 of a catchment of area 235 km2 is in the form of triangle with peak discharge of 30 m3/s. Another 3-h unit hydrograph U2 is also triangular in shape and has the same base width as U1, but has a peak flow of 90 m3/s. What is the catchment area of U2?a)117.5 km2b)235 km2c)470 km2d)705 km2Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A 3-h unit hydrograph U1 of a catchment of area 235 km2 is in the form of triangle with peak discharge of 30 m3/s. Another 3-h unit hydrograph U2 is also triangular in shape and has the same base width as U1, but has a peak flow of 90 m3/s. What is the catchment area of U2?a)117.5 km2b)235 km2c)470 km2d)705 km2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3-h unit hydrograph U1 of a catchment of area 235 km2 is in the form of triangle with peak discharge of 30 m3/s. Another 3-h unit hydrograph U2 is also triangular in shape and has the same base width as U1, but has a peak flow of 90 m3/s. What is the catchment area of U2?a)117.5 km2b)235 km2c)470 km2d)705 km2Correct answer is option 'D'. Can you explain this answer?.
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