Question

A 6-string guitar has strings which are 0.75 m long. What are the wavelengths for the first 5 harmonics?

Answer 1

The wavelenght of the harmonics in a string of a guitar is given as:

`\lambda=(2)/(n_i)L`

where L is the lenght of the guitar string and ni is the harmonic we like tu calculate, using this formula we have the first 5 harmonics.

`\begin{gathered} \lambda_1=(2)/(1)(0.75)=1.5 \\ \lambda_2=(2)/(2)(0.75)=0.75 \\ \lambda_3=(2)/(3)(0.75)=0.5 \\ \lambda_4=(2)/(4)(0.75)=0.375 \\ \lambda_5=(2)/(5)(0.75)=0.3 \end{gathered}`