$17-98$ A string on the violin has a length of $24\mathrm{.}00$ cm and a mass of $0\mathrm{.}860$ g$.$ The fundamental frequency of the string is $1\mathrm{.}00$ kHz$.$

$($a$)$ What is the speed of the wave on the string?$[$ Select $]["183$ m$/$s$","480$ m$/$s$","144$ m$/$s$","277$ m$/$s$","412$ m$/$s$","230$ m$/$s$","351$ m$/$s$"]$

$($b$)$ What is the magnitude of the tension in the string?