An unfingered guitar string is 0.67 m long and is tuned to play E above middle C (330 Hz).?

An unfingered guitar string is 0.67 m long and is tuned to play E above middle C (330 Hz).


(a) How far from the end of this string must the finger be placed to play A above middle C (440 Hz)?





(b) What is the wavelength on the string of this 440 Hz wave?





(c) What are the frequency and wavelength of the sound wave produced in air at 20° C by this fingered string?


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An unfingered guitar string is 0.67 m long and is tuned to play E above middle C (330 Hz).?
Kia ora


A) v=fλ


Wave speed is constant, so if you want to increase frequency by a factor of 4/3 you must reduce wavelength by a factor of 3/4 so the finger must be placed 0.1675m from the "peg end".


B) λ=2L for the fundamental so it's going to be 2*(0.67-0.1675)


C) Frequency is unchanged. Speed of sound in air is 340m/s so λ=340/440.