The first overtone of an open organ pipe beats with the first overtone of a closed organ pipe with a beat frequency `2.2 Hz` . The fundamental frequency of the closed organ pipe is `110 Hz`, find the lengths of the pipes . Take velocity of sound ` = 330 m//s`.

Explanation

To solve the problem, we need to find the lengths of the open and closed organ pipes based on the given information.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Beat frequency (f_beat) = 2.2 Hz
- Fundamental frequency of the closed organ pipe (f_closed) = 110 Hz
- Velocity of sound (v) = 330 m/s
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