Problem 29P

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 a fret (and your 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?

Solution 29PIntroductionWe have to find out the initial length of the steel rod.SolutionStep 1The change in length of a rod due to the change in temperature is given byL = Lt……..(1)Where L is the change in length, is the coefficient of linear expansion, L is the initiallength, and t is the change in temperature.