Question:

Match List-I with List-II:

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Memorize key soil physics units: Tension (N/m), Viscosity (Pa·s), Permeability (m/h), Density (kg/m³).
  • (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
  • (A)-(I), (B)-(IV), (C)-(III), (D)-(II)
  • (A)-(II), (B)-(IV), (C)-(III), (D)-(I)
  • (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
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The Correct Option is C

Approach Solution - 1

Surface tension is measured in Newton per meter, viscosity in Pascal-second, soil permeability in meter per hour, and particle density in kilogram per cubic meter.
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Approach Solution -2

Alternate approach — Dimensional analysis:
Each physical property can be matched to its SI unit by checking its defining formula. Surface tension is force per unit length, \( \gamma = F/L \), giving units of newton per metre (N/m). Viscosity relates shear stress to velocity gradient, giving units of pascal-second (Pa·s). Soil permeability (hydraulic conductivity) is expressed as a flow velocity through the soil, giving units of length per time, i.e. metre per hour (m/hr). Particle density is mass per unit volume of solid particles, giving units of kilogram per cubic metre (kg/m³).
Deriving each unit directly from its defining formula reproduces the same pairing as List-II, confirming option (A)-(II), (B)-(IV), (C)-(III), (D)-(I).
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