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The G string on a violin has a fundamental frequency of 196Hz. It is 32.5 cm long and has a massof 0.500 g. While this string is sounding, a nearby violinisteffectively shortens (by sliding her finger down the sting) the Gstring on her identical violin until a beat frequency of3.00 Hz is heard between the twostrings. When this occurs, what is the effective length of her string?

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