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A Pianist Considers Two Strings in the Piano That Are

question 27

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A pianist considers two strings in the piano that are side-by-side.Their construction is identical in terms of their linear mass density and tension-only the length is different.If,when the strings are vibrating in their fundamental modes,a beat frequency of 2.0Hz is heard,and if the average frequency heard is 111Hz,what is the ratio of lengths of the higher frequency to lower frequency string?


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