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If a 4-h hydrograph of a certain basin has a peak ordinate of 80 m3/s, the peak ordinate of a 2-h unit hydrograph for the same basin will be
- a)equal to 80 m3/s
- b)greater than 80 m3/s
- c)less than 80 m3/s
- d)between 40 m3/s and 80 m3/s
Correct answer is option 'B'. Can you explain this answer?
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If a 4-h hydrograph of a certain basin has a peak ordinate of 80 m3/s,...
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If a 4-h hydrograph of a certain basin has a peak ordinate of 80 m3/s,...
. Given below is the 4-hr U.H for a basin of 84 sq.km. Derive S-curve and find the 2-hr
unit hydrograph.
Time (hr) 0 2 4 6 8 12 16 20
Flow (m3/s) 0 1.22 4.05 6.75 5.67 3.37 1.35 0
Time
(hr)
0 1 2 3 4 5 6 7 8 9 10
Flow
(m3
/s) 0 400 2500 4400 6000 7000 6100 5200 4500 3800 3200
Time
(hr) 11 12 13 14 15 16 17 18 19 20 21
Flow
(m3
/s) 2700 2200 1800 1400 1100 800 600 400 200 100 0
unit hydrograph.
Time (hr) 0 2 4 6 8 12 16 20
Flow (m3/s) 0 1.22 4.05 6.75 5.67 3.37 1.35 0
Time
(hr)
0 1 2 3 4 5 6 7 8 9 10
Flow
(m3
/s) 0 400 2500 4400 6000 7000 6100 5200 4500 3800 3200
Time
(hr) 11 12 13 14 15 16 17 18 19 20 21
Flow
(m3
/s) 2700 2200 1800 1400 1100 800 600 400 200 100 0
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If a 4-h hydrograph of a certain basin has a peak ordinate of 80 m3/s,...
Explanation:
To understand why the peak ordinate of a 2-hour unit hydrograph for the same basin will be greater than 80 m3/s, let's first understand what a unit hydrograph represents.
A unit hydrograph is a hydrograph that represents the direct runoff resulting from 1 unit of rainfall excess (usually 1 cm) spread uniformly over the entire basin for a specified duration. It is essentially a scaled-down version of the actual hydrograph that represents the response of the basin to a unit input of rainfall.
1. Relationship between Duration and Peak Flow:
The duration of a hydrograph refers to the time it takes for the hydrograph to complete its rise and fall. Generally, the shorter the duration of a hydrograph, the higher the peak flow. This is because a shorter duration means that the rainfall is concentrated within a smaller time frame, resulting in a more rapid and intense response from the basin.
2. The 4-hour Hydrograph:
Given that the 4-hour hydrograph has a peak ordinate of 80 m3/s, it means that during the peak flow period of 4 hours, the basin is experiencing a maximum discharge of 80 m3/s. This indicates that the basin has a certain capacity to handle and transmit water during this 4-hour period.
3. The 2-hour Hydrograph:
Now, let's consider the 2-hour unit hydrograph for the same basin. Since it is a unit hydrograph, it represents the direct runoff resulting from 1 unit of rainfall excess spread uniformly over the entire basin for a duration of 2 hours.
Since the duration is shorter (2 hours) compared to the 4-hour hydrograph, the peak flow of the 2-hour unit hydrograph will be higher. This is because the rainfall excess is concentrated within a smaller time frame, resulting in a more intense response from the basin.
Therefore, it can be concluded that the peak ordinate of the 2-hour unit hydrograph will be greater than 80 m3/s.
Conclusion:
The correct answer is option 'B' - greater than 80 m3/s.
To understand why the peak ordinate of a 2-hour unit hydrograph for the same basin will be greater than 80 m3/s, let's first understand what a unit hydrograph represents.
A unit hydrograph is a hydrograph that represents the direct runoff resulting from 1 unit of rainfall excess (usually 1 cm) spread uniformly over the entire basin for a specified duration. It is essentially a scaled-down version of the actual hydrograph that represents the response of the basin to a unit input of rainfall.
1. Relationship between Duration and Peak Flow:
The duration of a hydrograph refers to the time it takes for the hydrograph to complete its rise and fall. Generally, the shorter the duration of a hydrograph, the higher the peak flow. This is because a shorter duration means that the rainfall is concentrated within a smaller time frame, resulting in a more rapid and intense response from the basin.
2. The 4-hour Hydrograph:
Given that the 4-hour hydrograph has a peak ordinate of 80 m3/s, it means that during the peak flow period of 4 hours, the basin is experiencing a maximum discharge of 80 m3/s. This indicates that the basin has a certain capacity to handle and transmit water during this 4-hour period.
3. The 2-hour Hydrograph:
Now, let's consider the 2-hour unit hydrograph for the same basin. Since it is a unit hydrograph, it represents the direct runoff resulting from 1 unit of rainfall excess spread uniformly over the entire basin for a duration of 2 hours.
Since the duration is shorter (2 hours) compared to the 4-hour hydrograph, the peak flow of the 2-hour unit hydrograph will be higher. This is because the rainfall excess is concentrated within a smaller time frame, resulting in a more intense response from the basin.
Therefore, it can be concluded that the peak ordinate of the 2-hour unit hydrograph will be greater than 80 m3/s.
Conclusion:
The correct answer is option 'B' - greater than 80 m3/s.
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If a 4-h hydrograph of a certain basin has a peak ordinate of 80 m3/s, the peak ordinate of a 2-h unit hydrograph for the same basin will bea)equal to 80 m3/sb)greater than 80 m3/sc)less than 80 m3/sd)between 40 m3/s and 80 m3/sCorrect answer is option 'B'. Can you explain this answer?
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