Question:

Match List I with List II 

Choose the correct answer from the options given below: 
 

Show Hint

Infiltration equations:
- Kostiakov: \(I = a t^b\)
- Philip: \(I = S t^{1/2} + K t\)
- Horton: \(f = f_c + (f_0 - f_c) e^{-kt}\)
Buckingham: Soil water potential.
  • A-IV, B-I, C-III, D-II
  • A-II, B-I, C-IV, D-III
  • A-I, B-II, C-IV, D-III
  • A-III, B-I, C-II, D-IV
Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
This question tests knowledge of soil physics and infiltration theory.

Step 2: Detailed Explanation:

Gibbs-Duhem (A):
Related to thermodynamics of soil water (III).
It describes the relationship between chemical potential and thermodynamic properties.
Thus, A matches with III.
Philip (B):
Related to horizontal infiltration (I).
Philip's equation is used for infiltration into soils.
Thus, B matches with I.
Buckingham (C):
Related to soil water potential (II).
Buckingham introduced the concept of soil water potential (capillary potential).
Thus, C matches with II.
Kostiakov (D):
Related to cumulative infiltration (IV).
Kostiakov's infiltration equation is: \(I = a t^b\).
Thus, D matches with IV.

Step 3: Final Answer:

Thus, the correct matching is A-III, B-I, C-II, D-IV.
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