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The G string on a violin has a length of 29.3 cm, a mass of 0.56...

The G string on a violin has a length of 29.3 cm, a mass of 0.56 g and a fundamental frequency of 197.5 Hz. While this string is sounding, a nearby violinist plays her identical violin at a slightly higher frequency by placing her finger on the string (to shorten its length). If the beat frequency is 1.2 Hz, determine the effective length (in cm) of the second violinist's string.

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Answer #1

Beat frequency is given by

fB = f1' - f1

1.2=f1'-197.5

f1' =198.7 Hz

Since

f1/f1' = L'/L

197.5/198.7 = L'/29.3

L' =29.123 cm

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