Step 1: Understanding Liquidity Index (LI).
- Liquidity Index (LI) is given by:
\[
LI = \frac{W - PL}{LL - PL}
\]
where W is natural moisture content, PL is plastic limit, and LL is liquid limit.
Step 2: Can Liquidity Index be negative?
- Yes, LI can be negative when natural moisture content (W) is below the plastic limit (PL).
- This happens when soil is in the semisolid state and is stiff.
Step 3: Evaluating the statements.
- Statement 1 is incorrect because LI can be negative.
- Statement 2 is correct because LI can have negative values.
- Statement 3 is correct because negative LI means soil is in the semisolid state.
- Statement 4 is incorrect because medium soft soil has positive LI.
Thus, the correct answer is (C) 2 and 3.