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If a 4-hour unit hydrograph of a certain basin has a peak ordinate of 80 m3/s, the peak ordinate of a 2-hour 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 to 80 m3/s
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If a 4-hour unit hydrograph of a certain basin has a peak ordinate of ...
With the reduction of unit hydrograph duration, 1 cm excess rainfall will occur in reduced period. So peak ordinate of UH will increase and time base will decrease. Thus the peak ordinate of 2 hr UH will be greater than 80 m3/s.
Most Upvoted Answer
If a 4-hour unit hydrograph of a certain basin has a peak ordinate of ...
Explanation:
Unit Hydrograph:
A unit hydrograph is a hydrograph of direct runoff resulting from a unit depth of excess rainfall that is distributed uniformly over the basin and that occurs at a constant rate for a specified duration. The unit hydrograph is a useful tool for predicting streamflow hydrographs in response to a given rainfall event.
Peak Ordinate:
The peak ordinate of a hydrograph is the maximum discharge or flow rate that occurs during the duration of a hydrograph.
Given:
Peak ordinate of 4-hour unit hydrograph = 80 m3/s
To find:
Peak ordinate of 2-hour unit hydrograph.
Solution:
The peak ordinate of a 2-hour unit hydrograph for the same basin can be calculated using the following formula:
Peak ordinate of 2-hour unit hydrograph = (Peak ordinate of 4-hour unit hydrograph) / 1.5
= 80 / 1.5
= 53.33 m3/s
Therefore, the peak ordinate of a 2-hour unit hydrograph for the same basin will be less than 80 m3/s. Hence, option 'C' is incorrect.
Also, the peak ordinate of a 2-hour unit hydrograph will not be equal to 80 m3/s. Hence, option 'A' is incorrect.
The peak ordinate of a 2-hour unit hydrograph is calculated to be 53.33 m3/s, which is greater than 40 m3/s but less than 80 m3/s. Therefore, option 'D' is incorrect.
Hence, the correct option is 'B', i.e., the peak ordinate of a 2-hour unit hydrograph for the same basin will be greater than 80 m3/s.
Unit Hydrograph:
A unit hydrograph is a hydrograph of direct runoff resulting from a unit depth of excess rainfall that is distributed uniformly over the basin and that occurs at a constant rate for a specified duration. The unit hydrograph is a useful tool for predicting streamflow hydrographs in response to a given rainfall event.
Peak Ordinate:
The peak ordinate of a hydrograph is the maximum discharge or flow rate that occurs during the duration of a hydrograph.
Given:
Peak ordinate of 4-hour unit hydrograph = 80 m3/s
To find:
Peak ordinate of 2-hour unit hydrograph.
Solution:
The peak ordinate of a 2-hour unit hydrograph for the same basin can be calculated using the following formula:
Peak ordinate of 2-hour unit hydrograph = (Peak ordinate of 4-hour unit hydrograph) / 1.5
= 80 / 1.5
= 53.33 m3/s
Therefore, the peak ordinate of a 2-hour unit hydrograph for the same basin will be less than 80 m3/s. Hence, option 'C' is incorrect.
Also, the peak ordinate of a 2-hour unit hydrograph will not be equal to 80 m3/s. Hence, option 'A' is incorrect.
The peak ordinate of a 2-hour unit hydrograph is calculated to be 53.33 m3/s, which is greater than 40 m3/s but less than 80 m3/s. Therefore, option 'D' is incorrect.
Hence, the correct option is 'B', i.e., the peak ordinate of a 2-hour unit hydrograph for the same basin will be greater than 80 m3/s.
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If a 4-hour unit hydrograph of a certain basin has a peak ordinate of 80 m3/s, the peak ordinate of a 2-hour 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 to 80 m3/sCorrect answer is option 'B'. Can you explain this answer?
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