Consult Multiple$-$Concept Example $3$ for background pertinent to this problem. A speaker has a diameter of $0\mathrm{.}30$ m$.($a$)$ Assuming that the speed of sound is $343$ m$/$s$,$ find the diffraction angle $0$ for a $2\mathrm{.}0-$kHz tone. $($b$)$ What speaker diameter D should be used to generate a $6\mathrm{.}0-$kHz tone whose diffraction angle is as wide as that for the $2\mathrm{.}0-$kHz tone in part $($a$)?$