A guitar string is 90 cm long and has a mass of 3.5g . The distance from the bridge to the support post is L=62cm, and the string is under a tension of 540N . What are the frequencies of the fundamental and first two overtones? Express your answers using two significant figures. Enter your answers in ascending order separated by commas.

Explanation:

From the question we are told that

     The  length of the string is  

     The mass of the string is  

     The  distance  from the bridge to the support post

    The tension is

Generally the frequency is mathematically represented as

Where n is and integer that defines that overtones

i.e  n =   1 is for fundamental frequency

      n =  2   first overtone

       n =3   second overtone

Also   is the linear density of the string which is mathematically represented as

=>        

=>      

So for   n = 1

So for  n =  2

So for  n =  3

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the ima (higher than 1m) will be greater than the ima with the height of 1m.