A sonometer wire of certain length L between the bridges resonates with an open organ pipe. If L is now made twice, will the wire be still able to resonate with the same open organ pipe ? Give reason in support of your answer.

Explanation

To determine whether a sonometer wire of length \( L \) can still resonate with an open organ pipe when its length is doubled to \( 2L \), we need to analyze the conditions for resonance between the two systems.

### Step-by-Step Solution:

1. **Understanding Resonance**:
- Resonance occurs when two systems vibrate at the same frequency. In this case, we have a sonometer wire and an open organ pipe.

2. **Frequency of the Sonometer Wire**:
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