1
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
The characteristic polynomial of a system is
q(s) = 2s5 + s4 + 4s3 + 2s2 + 2s + 1. The system is
A
stable
B
marginally stable
C
unstable
D
oscillatory
2
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
Which of the following points is NOT on the root locus of a system with the open loop transfer function $$$G\left(s\right)H\left(s\right)=\frac K{s(s+1)(s+3)}$$$
A
$$s=-j\sqrt{3}$$
B
$$s=-1.5$$
C
$$s=-3$$
D
$$s=-\infty$$
3
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
Consider a system with the transfer function $$$G\left(s\right)=\frac{s+6}{Ks^2+s+6}$$$ Its damping ratio will be 0.5 when the value of K is
A
2/6
B
3
C
1/6
D
6
4
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
The phase margin of a system with the open-loop transfer function G(s)H(s)=$${{(1 - s)} \over {(1 + s)(2 + s)}}$$ is?
A
$$0^\circ $$
B
$$63.4^\circ $$
C
$$90^\circ $$
D
$$\infty $$
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