A negative feedback system has loop transfer function (K(s+3) /(s+8)^{2}) where (K) is be adjusted that the

Question:

A negative feedback system has loop transfer function $K(s+3) /(s+8)^{2}$ where $K$ is be adjusted that the system exhibits sustained oscillation. The corresponding frequency of oscillation, is
(a) $4 / \sqrt{3} \mathrm{rad} / \mathrm{sec}$.
(b) $4 \mathrm{rad} / \mathrm{sec}$.
(c) $4 \sqrt{3} \mathrm{rad} / \mathrm{sec}$.
(d) No such K exists.

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