Consider an LC circuit in which L $=470$ mH and C $=0\mathrm{.}110$F$.$

$($a$)$ What is the resonance frequency $0?$

krad$/$s

$($b$)$ If a resistance of $1\mathrm{.}22$ k$$ is introduced into this circuit, what is the frequency of the damped oscillations?

krad$/$s

$($c$)$ By what percentage does the frequency of the damped oscillations differ from the resonance frequency?

$\%$