The first overtone of an open orgen pipe beats with the first ouertone of a closed orgen pipe with a beat frequency of `2.2 H_(Z)` . The fundamental frequency of the closed organ pipe is `110 H_(Z)` . Find the lengths of the pipes . Speed of sound in air `u = 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 about their frequencies and the speed of sound in air.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Beat frequency (f_beat) = 2.2 Hz
- Fundamental frequency of the closed organ pipe (f_c) = 110 Hz
- Speed of sound in air (v) = 330 m/s
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