A guitar string has an overall length of 1.25 m and a total mass of 40 g (0.04 kg) before it is strung on the guitar. Once on the guitar, however, there is a distance of 64 cm between its fixed end points. It is tightened to a tension of 720 N.
a. What is the mass per unit of length of this string?
b. What is the wave speed for waves on the tightened string?
c. What is the wavelength of the traveling waves that interfere to form the fundamental standing wave (nodes just at either end) for this string?
d. What is the frequency of the fundamental wave?
e. What are the wavelength and frequency of the next harmonic (with a node in the middle of the string)?