Problem: An unfingered guitar string is 0.73 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 B above middle C (494 Hz)?___ m(b) What is the wavelength on the string of this 494 Hz wave?___ m(c) What are the frequency and wavelength of the sound wave produced in air at 20

FREE Expert Solution

Frequency:

f=nv2l

Wavelength in terms of the length of the string.

λ=2ln

(a) 

From the first equation, the velocity remains constant. The number n also remains constant.

Therefore, we have the ratios:

f0fn=lnl0ln=(f0fn)l0=(330494)(0.73)

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Problem Details

An unfingered guitar string is 0.73 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 B above middle C (494 Hz)?
___ m
(b) What is the wavelength on the string of this 494 Hz wave?
___ m
(c) What are the frequency and wavelength of the sound wave produced in air at 20

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