A violin string has a length of $0\mathrm{.}350$ m and is tuned to concert G$,$ with fG $5392$ Hz$.($a$)$ How far from the end of the string must the violinist place her finger to play concert A$,$ with fA $5440$ Hz$?($b$)$ If this position is to remain correct to one$-$half the width of a finger $($that is$,$ to within $0\mathrm{.}600$ cm$),$ what is the maximum allowable percentage change in the string tension?