Question

Match List-I with List-II

List-I	List-II
(A) Gravemetric moisture content	(I) Vw/Vs
(B) Volumetric moisture content	(II) Vw/Vt
(C) Liquid ratio	(III) Vw/vf X100
(D) Saturation percent	(IV) Mw/Ms

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

Hint:

- "Gravimetric" refers to mass ($M_w/M_s$, A-IV).
- "Volumetric" refers to total bulk volume ($V_w/V_t$, B-II).
This basic distinction is sufficient to identify the correct option.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Soil moisture is expressed quantitatively using different mass or volume ratios of water, soil solids, and total volume.
Detailed Explanation:
Let us match the moisture content concepts in List-I with their algebraic ratios in List-II:
- (A) Gravimetric moisture content ($\theta_g$): The ratio of the mass of water to the mass of dry soil solids: \[ \theta_g = \frac{M_w}{M_s} \quad \rightarrow \text{ (IV)} \] - (B) Volumetric moisture content ($\theta_v$): The ratio of the volume of water to the total bulk volume of soil: \[ \theta_v = \frac{V_w}{V_t} \quad \rightarrow \text{ (II)} \] - (C) Liquid ratio ($\vartheta$): The ratio of the volume of water to the volume of soil solids: \[ \vartheta = \frac{V_w}{V_s} \quad \rightarrow \text{ (I)} \] - (D) Saturation percent (Degree of Saturation, $S$): The percentage of the soil pore space (void volume, $V_v$) filled with water: \[ S = \frac{V_w}{V_v} \times 100 \quad \rightarrow \text{ (III)} \] This yields the matched sequence:
\[ \text{(A) - (IV), (B) - (II), (C) - (I), (D) - (III)} \]

Step 2: Final Answer:
The correct matching sequence corresponds to Option (A).