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Two identical violin strings, when in tune and stretched withthe same tension, have a fundamental frequency of 440Hz. One of the strings is retuned by adjusting its tension.When this is done, 2 beats per second are heard when both stringsare plucked simultaneously

What is the highest possible fundamental frequency of the retuned string?

What is the lowest possible fundamentalfrequency of the retuned string?

By what fractional amount was the stringtension changed if it was increased?

By what fractional amount was the stringtension changed if it was decreased?

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