An unfingered guitar string is 0.68 m long and is tuned to play E above middle C

Question

An unfingered guitar string is 0.68 m long and is tuned to play E above middle C (330 Hz).

A). How far from the nut of the guitar must a fret (and your finger) be placed on this string to play F (349Hz)?

B). What is the wavelength on the string of this 349-Hz wave?

C). What is the frequency of the sound wave produced in air at 22 C by this fingered string? The speed of sound in air is v(331+0.60T)m/s, where T is the temperature in C.

I was able to find A). 0.64 m and B). 1.28 m. Having trouble finding C.

Explanation / Answer

According to the question provided we need to find the value of the frequency of the sound wave produced in air at 22 C by this fingered string.

The frequency of sound will be same as that of the string due to the due to resonance and causality.

so

f = 349 Hz =====================ANSWER)

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