Question

A particular guitar string has a mass of 3.0 grams and a length of 0.75 m....

A particular guitar string has a mass of 3.0 grams and a length of 0.75 m. when it is stretched, it produces a transverse wave of frequency 1200 Hz and wavelength 2/3 of the length of the string. (i) What is the speed of the transverse wave on the string? (ii) What is the tension of the string?

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Answer #1

The mass of the string is
   
And the length of the string is
   
The frequency of the wave is
  
And the wavelength of the wave is
  
(i)

   And so, the speed of the wave is
  

(ii)

  The tension of the string is calculated as follows :
  The speed of the string in terms of the tension is
     
  
   
And so, putting the given values, we get
  
   

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