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If the area of storm hydrograph is equal to 102 cm, the ordinates of a unit hydrograph may be obtained by dividing the ordinates of the storm hydrograph by
- a)0.5
- b)1
- c)2
- d)3
- e)4
Correct answer is option 'E'. Can you explain this answer?
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If the area of storm hydrograph is equal to 102 cm, the ordinates of a...
-If the area of storm hydrograph is equal to 102 cm, the ordinates of a unit hydrograph may be obtained by dividing the ordinates of the storm hydrograph by 4.
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If the area of storm hydrograph is equal to 102 cm, the ordinates of a...
Explanation:
A unit hydrograph is a hydrograph for a unit of effective rainfall, which is defined as the depth of runoff produced by a unit depth of rainfall. It is a hypothetical hydrograph for a small drainage basin, and it is used to predict the response of a larger basin to a given rainfall event.
The area of a storm hydrograph represents the total volume of runoff produced by a storm. Therefore, if we divide the area of the storm hydrograph by the depth of rainfall that produced it, we get the total area of the basin that contributed to the runoff. This is known as the effective rainfall.
In this question, the area of the storm hydrograph is given as 102 cm. We need to obtain the ordinates of a unit hydrograph, which represents the runoff produced by a unit depth of rainfall. In other words, we need to find the depth of rainfall that would produce a runoff equal to the area of the storm hydrograph.
To do this, we need to divide the ordinates of the storm hydrograph by the effective rainfall. Since the effective rainfall is equal to the area of the storm hydrograph divided by the depth of rainfall, we can rewrite this as:
Ordinates of unit hydrograph = Ordinates of storm hydrograph / (Area of storm hydrograph / Depth of rainfall)
Substituting the given values, we get:
Ordinates of unit hydrograph = Ordinates of storm hydrograph / (102 cm / 1 cm) = Ordinates of storm hydrograph / 102
Therefore, to obtain the ordinates of a unit hydrograph, we need to divide the ordinates of the storm hydrograph by 102. This is equivalent to dividing by 4, since 102 is equal to 4 times 25.5. Therefore, the correct answer is option E, which is 4.
Conclusion:
To obtain the ordinates of a unit hydrograph, we need to divide the ordinates of the storm hydrograph by the effective rainfall, which is equal to the area of the storm hydrograph divided by the depth of rainfall. In this question, we are given the area of the storm hydrograph, and we need to divide the ordinates by this value to obtain the ordinates of a unit hydrograph. This gives us a factor of 4, which is the correct answer.
A unit hydrograph is a hydrograph for a unit of effective rainfall, which is defined as the depth of runoff produced by a unit depth of rainfall. It is a hypothetical hydrograph for a small drainage basin, and it is used to predict the response of a larger basin to a given rainfall event.
The area of a storm hydrograph represents the total volume of runoff produced by a storm. Therefore, if we divide the area of the storm hydrograph by the depth of rainfall that produced it, we get the total area of the basin that contributed to the runoff. This is known as the effective rainfall.
In this question, the area of the storm hydrograph is given as 102 cm. We need to obtain the ordinates of a unit hydrograph, which represents the runoff produced by a unit depth of rainfall. In other words, we need to find the depth of rainfall that would produce a runoff equal to the area of the storm hydrograph.
To do this, we need to divide the ordinates of the storm hydrograph by the effective rainfall. Since the effective rainfall is equal to the area of the storm hydrograph divided by the depth of rainfall, we can rewrite this as:
Ordinates of unit hydrograph = Ordinates of storm hydrograph / (Area of storm hydrograph / Depth of rainfall)
Substituting the given values, we get:
Ordinates of unit hydrograph = Ordinates of storm hydrograph / (102 cm / 1 cm) = Ordinates of storm hydrograph / 102
Therefore, to obtain the ordinates of a unit hydrograph, we need to divide the ordinates of the storm hydrograph by 102. This is equivalent to dividing by 4, since 102 is equal to 4 times 25.5. Therefore, the correct answer is option E, which is 4.
Conclusion:
To obtain the ordinates of a unit hydrograph, we need to divide the ordinates of the storm hydrograph by the effective rainfall, which is equal to the area of the storm hydrograph divided by the depth of rainfall. In this question, we are given the area of the storm hydrograph, and we need to divide the ordinates by this value to obtain the ordinates of a unit hydrograph. This gives us a factor of 4, which is the correct answer.
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If the area of storm hydrograph is equal to 102 cm, the ordinates of a unit hydrograph may be obtained by dividing the ordinates of the storm hydrograph bya)0.5b)1c)2d)3e)4Correct answer is option 'E'. Can you explain this answer?
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