Question

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. Particle density of soil B. Dry bulk density of soil C. Apparent specific gravity of soil D. Total wet (bulk density of soil)	I. Total mass of soil / Total volume of soil II. Dimensionless III. Total mass of soil solids / Volume of soil solids IV. Total mass of soil solids / Total volume of soil

Choose the correct answer from the options given below:

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

Hint:

Important formulas: \[ \boxed{ \text{Bulk density} = \frac{\text{Mass of soil}}{\text{Total volume}} } \] \[ \boxed{ \text{Particle density} = \frac{\text{Mass of solids}}{\text{Volume of solids}} } \] Specific gravity is always dimensionless.

Answer 1

The Correct Option is A

Concept: Important soil physical parameters include:
• Particle density
• Bulk density
• Specific gravity
• Wet density Each parameter has a specific mathematical definition.

Step 1: Matching Particle density of soil. Particle density is defined as: \[ \text{Particle density} = \frac{\text{Mass of soil solids}}{\text{Volume of soil solids}} \] Therefore: \[ \boxed{ A \rightarrow III } \]

Step 2: Matching Dry bulk density of soil. Dry bulk density is: \[ \text{Dry bulk density} = \frac{\text{Mass of dry soil solids}}{\text{Total volume of soil}} \] Hence: \[ \boxed{ B \rightarrow IV } \]

Step 3: Matching Apparent specific gravity of soil. Specific gravity is a ratio and therefore dimensionless. Thus: \[ \boxed{ C \rightarrow II } \]

Step 4: Matching Total wet bulk density of soil. Wet bulk density is: \[ \text{Wet bulk density} = \frac{\text{Total mass of soil}}{\text{Total volume of soil}} \] Hence: \[ \boxed{ D \rightarrow I } \]

Step 5: Writing final matching sequence. Thus correct matching becomes: \[ \boxed{ A-III,\; B-IV,\; C-II,\; D-I } \]

Step 6: Checking all options. Option (A): \[ A-III,\; B-IV,\; C-II,\; D-I \] This matches exactly. Hence: \[ \boxed{ \text{Option (A) is correct} } \] Option (B): Incorrect matching. Hence: \[ \boxed{ \text{Option (B) is incorrect} } \] Option (C): Incorrect sequence. Hence: \[ \boxed{ \text{Option (C) is incorrect} } \] Option (D): Incorrect arrangement. Hence: \[ \boxed{ \text{Option (D) is incorrect} } \] Final Conclusion: Correct matching is: \[ \boxed{ A-III,\; B-IV,\; C-II,\; D-I } \] Hence the correct answer is: \[ \boxed{ (A) } \]