A string of length 0.67 m and mass 2.0 g is held at both ends under tension. The string
produces a 700 Hz tone when it vibrates in the fourth harmonic. During this event, what is the
wavelength of the standing wave in the string?

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Respuesta :

Answer:

The value is [tex]\lambda = 0.335 \ m[/tex]  

Explanation:

From the question we are told that

     The length of the string is  [tex]l = 0.67 \ m[/tex]

      The mass is  [tex]m = 2.0 \ g = 0.002 \ kg[/tex]

      The frequency produced at  fourth harmonic vibration(i.e n =4 )  is  [tex]f = 700 \ Hz[/tex]

  Generally the wavelength of the string is  mathematically represented as

            [tex]\lambda = \frac{ 2L }{n }[/tex]

=>          [tex]\lambda = \frac{ 2 * 0.67 }{ 4 }[/tex]  

=>          [tex]\lambda = 0.335 \ m[/tex]