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4. A 58.0-cm guitar string produces a sound wave with a fundamental frequency of 105 Hz. The speed of sound in air is 338 m/s

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Answer #1

The fundamental vibrational mode of a stretched string is such that the wavelength is twice the length of the string.

so,

wavelength of wave on string = 2L = 2 * 58 = 116 cm = 1.16 m

wavelength of sound wave = 338 / 105 = 3.219 m

so,

ratio = 1.16 / 3.219

ratio = 0.360

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