Question

Match List-I with List-II.

List-I (Theory Proposed)	List-II (Scientist)
(A) Hydrodynamics	(I) Daniel Bernoulli
(B) Acoustics	(II) Johannes Kepler
(C) Mechanics	(III) Hermann von Helmholtz
(D) Aerodynamics	(IV) Ludwig Prandtl

Choose the correct answer from the options given below.

• (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
• (A) - (I), (B) - (II), (C) - (IV), (D) - (III)
• (A) - (II), (B) - (IV), (C) - (III), (D) - (I)
• (A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Hint:

Identifying simple, unambiguous properties first—such as density being mass/volume ($\text{kg/m}^3$)—often allows you to quickly eliminate incorrect choices in match-the-column questions.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept: 
Matching physical properties to their SI or standard horticultural units is essential for dimensional analysis in soil physics. 

Step 2: Detailed Explanation: 
- (A) Surface tension ($\gamma$): Defined as force per unit length. 
Its SI unit is Newtons per meter ($\text{N/m}$), which corresponds to (II). 
- (B) Viscosity ($\eta$): Represented by shear stress per unit velocity gradient. 
Its SI unit is Pascal-second ($\text{Pa}\cdot\text{s}$), which corresponds to (IV). 
- (C) Soil permeability Saturated hydraulic conductivity ($K$): Expressed as water flow velocity through soil. 
Its unit is length per time, such as meters per hour ($\text{m/h}$), which corresponds to (III). 
- (D) Particle density ($\rho_p$): Defined as the mass of dry soil solids per unit volume. 
Its standard unit is kilograms per cubic meter ($\text{kg/m}^3$), which corresponds to (I). 

Step 3: Final Answer: 
The correct matching sequence is (A) - (II), (B) - (IV), (C) - (III), (D) - (I).