A guitar string is .75m and has a mass of .005kg. A standing wave is produced when the string is plucked.
a) what is the fifth harmonic if the tension in the string is 90N?
v=sqrt(F_t/mass density)= 116m/s
f1=v/2L = 116m/s/(2*.75m) =77.3Hz
and to find the wavelength
wavelength_5 = v/f_5
b) What is the frequency and wavelength of the sound produced by the subsequent vibrations of the sound box of this guitar. Assume room temperature (v=340m/s)
Wouldn't frequency be the same because of resonance. But what about the wavelenght is that also the same?