Which one of the following choices is correct about a closed-loop control system with the characteristic equation of \(4 s^{3}+2 s^{2}+k s+1=0\) ?

1) For \(k=2\), it oscillates with the angular frequency of \(\frac{\sqrt{2}}{2} \mathrm{rad} / \mathrm{sec}\).
2) For \(k=2\), it oscillates with the angular frequency of \(1 \mathrm{rad} / \mathrm{sec}\).
3) For \(k>2\), it is stable without any oscillation.
4) For \(k=4\), it oscillates with the angular frequency of \(2 \mathrm{rad} / \mathrm{sec}\).