The lowest frequency string on a guitar is 65.5 cm long and is tuned to 82 Hz. 

(a) If the string has a mass of 3.31 g, what is the tension in the string? 

(b) By fingering the guitar at the fifth fret, you shorten the vibrating length of the string, thereby changing the fundamental frequency of this string to match that of the next-highest-frequency string on the guitar, 110 Hz. How long is the vibrating part of the lowest-frequency string when it is fingered at the fifth fret?