Physics

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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

fn=n*f1
f5=5*77.3Hz =386.5Hz

and to find the wavelength
wavelength_5 = v/f_5
=116m/s/386.5Hz
=.3m

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?

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