A guitar string is fixed at both ends.If you tighten it to increase its tension,the frequencies of its normal modes will increase but its wavelengths will not be affected.

Question

Quizplus · Accepted Answer

The frequency of a guitar string's normal modes is directly proportional to the tension of the string. As the tension increases, the frequency increases. However, the wavelength of a wave on a string is inversely proportional to the tension of the string. As the tension increases, the wavelength decreases. Therefore, tightening the string to increase its tension will increase the frequencies of its normal modes and decrease its wavelengths.

A Guitar String Is Fixed at Both Ends