There are two bottles of glass, one bottle is two third filled with water and another bottle is filled one third with water. When we blow across the mouth of each bottle, then
(i) The bottle with the less air in it gives the note of higher pitch
(ii) The shorter the air column, the higher the pitch of the note produced.

Options

A. Both (i) and (ii) are correct and (ii) is the correct explanation of (i).
B. Both (i) and (ii) are correct but (ii) is not the correct explanation of (i).
C. Only (i) is correct.
D. Only (ii) is correct.

Explanation

To solve the question, we need to analyze the statements regarding the two bottles filled with different amounts of water and the sound produced when blowing across their mouths.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have two glass bottles.
- Bottle A is filled with water up to two-thirds of its height.
- Bottle B is filled with water up to one-third of its height.
- This means that Bottle A has a larger air column (one-third of the bottle) compared to Bottle B (two-thirds of the bottle).

2. **Effect of Air Column on Pitch**:
- The pitch of a sound produced by blowing across the mouth of a bottle is determined by the length of the air column inside the bottle.
- A shorter air column produces a higher pitch sound, while a longer air column produces a lower pitch sound.

3. **Analyzing the Bottles**:
- In Bottle A (one-third air column), the air column is shorter compared to Bottle B (two-thirds air column).
- Therefore, when we blow across the mouth of Bottle A, it will produce a higher pitch note due to the shorter air column.
- Conversely, Bottle B, with a longer air column, will produce a lower pitch note.

4. **Conclusion**:
- Statement (i): The bottle with less air in it (Bottle A) gives the note of higher pitch. This statement is **true**.
- Statement (ii): The shorter the air column, the higher the pitch of the note produced. This statement is also **true** and serves as an explanation for statement (i).

### Final Answer:
Both statements (i) and (ii) are correct, and statement (ii) correctly explains statement (i).

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