Q37: Match List-I with List-II: (II). Darcy's law (III). Fick's law... - Pedology, Soil Physics, Soil Colloids, Problem Soils & Water Quality - ICAR AIEEA PG 2024 - Physical Science | Agrigyan

Fundamental transport laws and physical principles:

• Saturated flow of water through porous media is governed by Darcy's Law ($q = -K_s \frac{dH}{dz}$) -> (II).
• Particle size sedimentation and soil textural analysis (pipette and hydrometer methods) are based on Stokes' Law ($v = \frac{2r^2(\rho_s - \rho_l)g}{9\eta}$) -> (IV).
• The relationship between the temperature of an emitting blackbody and the peak wavelength of emitted radiation is given by Wien's Displacement Law ($\lambda_{\max} T = b$) -> (I).
• Diffusive flux of gases in soil aeration is governed by Fick's First Law of Diffusion ($J = -D \frac{dC}{dx}$) -> (III).
  Correct match: (A)-(II), (B)-(IV), (C)-(I), (D)-(III).