What are the first three harmonics of a note produced on a 31.0 cm long violin string if waves on this string have a speed of 274.4m/s?

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What are the first three harmonics of a note produced on a 31.0 cm long violin string if waves on this string have a speed of 274.4m/s?

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General Physics PRemastered 4 years 1 Answer 908 views 0

Answer ( 1 )

  1. Wavelengths are
    62 cm
    31 cm and
    62 / 3 = 20.67 cm

    The frequencies associated with these wavelengths ( which are the 1st, 2nd and 3rd harmonics )

    27440/ 62 = 442.6 = 442 Hz

    27440/31 = 885.2 = 882 Hz

    27440 / 20.67 = 1328 = 1330 Hz

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