Explain how the bridges should be placed in order to divide a wire 1.1m. Long into three segments whose fundamental frqeuencies are in the ratio 1:2:3.

Explanation

To solve the problem of dividing a wire of length 1.1 m into three segments with fundamental frequencies in the ratio 1:2:3, we can follow these steps:

### Step 1: Understand the relationship between frequency and length
The fundamental frequency (f) of a vibrating string is inversely proportional to its length (L) when tension and mass per unit length are constant. Therefore, if the frequencies are in the ratio 1:2:3, the lengths will be in the ratio of their inverses, which is 3:2:1.

### Step 2: Define the lengths of the segments
Let the lengths of the three segments be L1, L2, and L3. Based on the frequency ratio, we can express the lengths as:
- L1 = 3x (for frequency ratio 1)
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