Two guitarists attempt to play the same note of wavelength 6.50 cm at the same time, but one of the instruments is slightly out of tune. Consequently, a 17.0-Hz beat frequency is heard between the two instruments. What were the possible wavelengths of the out-of-tune guitar’s note? Express your answers, separated by commas, in centimeters to three significant figures IN cm.

The two value of the wavelength for the out of tune guitar is  

Explanation:

From the question we are told that

     The wavelength of the note is

     The difference in beat frequency is

     

Generally the frequency of the note played by the guitar that is in tune is  

       

Where is the speed of sound with a constant value

       

     

The difference in beat is mathematically represented as

       

Where is the frequency of the sound from the out of tune guitar

     

substituting values

     

       

     

The wavelength for this frequency is

     

     

   

For the second value of the second frequency

     

     

     

The wavelength for this frequency is

   

   

   

What about it? how is this a question

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