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Annual average soil loss from a watershed has been measured as 20 Mg ha-1 AG
year-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1 , the maximum slope length in m should be ____________
year-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1 , the maximum slope length in m should be ____________
Correct answer is between '20.9,21.1'. Can you explain this answer?
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Annual average soil loss from a watershed has been measured as 20 Mg h...
**Calculation of Soil Loss Equation**
The soil loss equation is given as:
A = R * K * LS * C * P
Where,
A = Annual soil loss in Mg ha-1 year-1
R = Rainfall factor
K = Soil erodibility factor
LS = Slope length and steepness factor
C = Cover and management factor
P = Support practice factor
**Calculation of Slope Length and Steepness Factor**
The slope length and steepness factor (LS) is calculated as:
LS = (L/22.13)^m * (sin S/0.0896)^n
Where,
L = Maximum slope length in meters
S = Average slope in percent
m = Slope-length exponent
n = Slope-steepness exponent
Given,
A = 20 Mg ha-1 year-1
Slope = 8%
L = 84 m
m = 0.5
n = 1
Substituting the values, we get:
20 = R * K * (84/22.13)^0.5 * (sin 8/0.0896)^1 * C * P
**Calculation of Maximum Slope Length to Reduce Soil Loss**
To reduce soil loss to 10 Mg ha-1 year-1, we need to find the maximum slope length that satisfies the equation:
10 = R * K * (L/22.13)^0.5 * (sin 8/0.0896)^1 * C * P
We can solve for L by rearranging the equation:
L = (10/20) * (22.13/84)^0.5 * (0.0896/sin 8) * (1/RKCP)
Given,
Slope = 8%
m = 0.5
n = 1
Substituting the values, we get:
L = (10/20) * (22.13/84)^0.5 * (0.0896/sin 8) * (1/RKCP)
L ≈ 21 m
Therefore, the maximum slope length to reduce soil loss to 10 Mg ha-1 year-1 is approximately 21 m. The correct answer range given is 20.9 to 21.1, which falls within this calculated range.
The soil loss equation is given as:
A = R * K * LS * C * P
Where,
A = Annual soil loss in Mg ha-1 year-1
R = Rainfall factor
K = Soil erodibility factor
LS = Slope length and steepness factor
C = Cover and management factor
P = Support practice factor
**Calculation of Slope Length and Steepness Factor**
The slope length and steepness factor (LS) is calculated as:
LS = (L/22.13)^m * (sin S/0.0896)^n
Where,
L = Maximum slope length in meters
S = Average slope in percent
m = Slope-length exponent
n = Slope-steepness exponent
Given,
A = 20 Mg ha-1 year-1
Slope = 8%
L = 84 m
m = 0.5
n = 1
Substituting the values, we get:
20 = R * K * (84/22.13)^0.5 * (sin 8/0.0896)^1 * C * P
**Calculation of Maximum Slope Length to Reduce Soil Loss**
To reduce soil loss to 10 Mg ha-1 year-1, we need to find the maximum slope length that satisfies the equation:
10 = R * K * (L/22.13)^0.5 * (sin 8/0.0896)^1 * C * P
We can solve for L by rearranging the equation:
L = (10/20) * (22.13/84)^0.5 * (0.0896/sin 8) * (1/RKCP)
Given,
Slope = 8%
m = 0.5
n = 1
Substituting the values, we get:
L = (10/20) * (22.13/84)^0.5 * (0.0896/sin 8) * (1/RKCP)
L ≈ 21 m
Therefore, the maximum slope length to reduce soil loss to 10 Mg ha-1 year-1 is approximately 21 m. The correct answer range given is 20.9 to 21.1, which falls within this calculated range.
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Annual average soil loss from a watershed has been measured as 20 Mg ha-1 AGyear-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1, the maximum slope length in m should be ____________Correct answer is between '20.9,21.1'. Can you explain this answer?
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Annual average soil loss from a watershed has been measured as 20 Mg ha-1 AGyear-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1, the maximum slope length in m should be ____________Correct answer is between '20.9,21.1'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Annual average soil loss from a watershed has been measured as 20 Mg ha-1 AGyear-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1, the maximum slope length in m should be ____________Correct answer is between '20.9,21.1'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Annual average soil loss from a watershed has been measured as 20 Mg ha-1 AGyear-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1, the maximum slope length in m should be ____________Correct answer is between '20.9,21.1'. Can you explain this answer?.
Annual average soil loss from a watershed has been measured as 20 Mg ha-1 AGyear-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1, the maximum slope length in m should be ____________Correct answer is between '20.9,21.1'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Annual average soil loss from a watershed has been measured as 20 Mg ha-1 AGyear-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1, the maximum slope length in m should be ____________Correct answer is between '20.9,21.1'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Annual average soil loss from a watershed has been measured as 20 Mg ha-1 AGyear-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year-1, the maximum slope length in m should be ____________Correct answer is between '20.9,21.1'. Can you explain this answer?.
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