Physics Communication Questions

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The fundamental frequency of a wave in a string relates to harmonics through the formula nf, where n represents the harmonic number (0, 1, 2, ...). The first harmonic is the fundamental frequency, while subsequent harmonics are integer multiples of this frequency. The velocity of a wave in a string is determined by the tension in the string and its mass per unit length, expressed as v = √(T/(m/L)). In guitars, different notes are produced by varying the mass per unit length of the strings, which is influenced by their width. Understanding these concepts is essential for grasping wave behavior in strings.
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11. What is the formula that relates the fundamental frequency of a wave in a string to harmonic?

12. What two factors determine the velocity of a wave in a string? Which one of these quantities is varied between the strings of a guitar to give different notes?


If anyone has a answer to these questions, would you soo kindly help. Thanks
 
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11.

The question is asking at what frequencies standing waves in a string occur.
So if you know your fundamental frequency, let's say it's f, then harmonics occur at nf where n = 0,1,2... (is an integer).
So, 1st harmonic is just your fundamental frequency f.
2nd harmonic (also called first overtone) is 2f.
3rd harmonic (second overtone) is 3f.
So on..

12.

velocity of a wave in a string is determined by the tension in the string and mass per unit length of the string.

<br /> v = \sqrt{ \frac{T}{m/L} }
where T is the tension, m and L are the mass and length of the string.

In a guitar, I believe each string has a different width, so mass / unit length is varied.

You could have probably found answers to these questions in you textbook.
 
Thanks

Thanks alot, i really appreciate it
 
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