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The length of a sonometer wire between t...

The length of a sonometer wire between two fixed ends is 110cm. Where should the two bridges the placed so as to divide the wire into three segments, whose fundamental frequencies are in the ration` 1:2:3?`

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To solve the problem of where to place the two bridges on a sonometer wire of length 110 cm, we need to divide the wire into three segments such that their fundamental frequencies are in the ratio of 1:2:3. ### Step-by-Step Solution: 1. **Understanding the Relationship Between Frequency and Length:** The fundamental frequency (f) of a segment of wire is inversely proportional to its length (L). This means: \[ f \propto \frac{1}{L} ...
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