A violin string $16\mathrm{.}5$ cm long and fixed at both ends oscillates in its $\backslash ($ n$=5\backslash )$ mode. The speed of waves on the string is $\backslash (240\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ),$ and the speed of sound in air is $\backslash (348\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ What are $($a$)$ the frequency and $($b$)$ the wavelength of the emitted sound wave?

$($a$)$ Number

Units

$($b$)$ Number

Units