One type of steel has a density of 8000 kg/m^3 and a breaking stress of 7.1×108 N/m^2. A cylindrical guitar string is to be made out of a quantity of steel with a mass of 4.50 g.
a). What is the length of the longest and thinnest string that can be placed under a tension of 890 N without breaking?
b). What is the highest fundamental frequency that this string could have?