There is a need for a passive notch filter at 10 \(\mathrm{krad} / \mathrm{s}\). The narrower the notch the better, but there should be minimal ringing of the signals passing through. The transforms of three filters were submitted for consideration. Which would you recommend and why?

\[
\begin{aligned}
& T_{1}(s)=\frac{s^{2}+100 s+10^{8}}{s^{2}+10^{4} s+10^{8}} \\
& T_{2}(s)=\frac{s^{2}+500 s+10^{8}}{s^{2}+2500 s+10^{8}} \\
& T_{3}(s)=\frac{s^{2}+10^{8}}{s^{2}+5000 s+10^{8}}
\end{aligned}
\]