Given below are two statements:
Statement I : `SO_2` and `H_2O` both possess V- shaped structure.
Statement II : The bond angle of `SO_2` is less than that of `H_2O` .
In the light of the above statements, choose the most appropriate answer from the options given below

Options

A. Both statement I and Statement II are correct
B. Statement I is incorrect but Statement II are correct
C. Both statement I and Statement II are incorrect
D. Statement I is correct but Statement II are incorrect

Answer

To solve the question, we need to analyze both statements regarding the structures and bond angles of \( SO_2 \) and \( H_2O \).

### Step-by-Step Solution:

1. **Understanding the Structures**:
- **\( SO_2 \)**: Sulfur dioxide has a V-shaped (bent) structure due to the presence of one lone pair of electrons on the sulfur atom. The sulfur atom has six valence electrons and forms two double bonds with oxygen atoms, leading to a bent geometry.
- **\( H_2O \)**: Water also has a V-shaped (bent) structure. The oxygen atom has six valence electrons and forms two single bonds with hydrogen atoms, while having two lone pairs of electrons. This results in a bent shape.

**Conclusion**: Both \( SO_2 \) and \( H_2O \) possess a V-shaped structure. Thus, **Statement I is correct**.

2. **Analyzing the Bond Angles**:
- The bond angle in \( H_2O \) is approximately \( 104.5^\circ \) due to the two lone pairs of electrons which exert greater repulsion on the bonding pairs, causing the angle to be less than the ideal tetrahedral angle of \( 109.5^\circ \).
- The bond angle in \( SO_2 \) is approximately \( 120^\circ \) because there is only one lone pair, and the presence of double bonds (which have higher electron density) leads to a larger bond angle compared to water.

**Conclusion**: The bond angle of \( SO_2 \) (around \( 120^\circ \)) is greater than that of \( H_2O \) (around \( 104.5^\circ \)). Therefore, **Statement II is incorrect**.

3. **Final Evaluation**:
- Since Statement I is correct and Statement II is incorrect, the correct answer to the question is that Statement I is true, and Statement II is false.

### Answer:
The most appropriate answer is: **Statement I is correct, Statement II is incorrect**.