1
GATE EE 2012
MCQ (Single Correct Answer)
+2
-0.6
The feedback system shown below oscillates at $$2$$ rad/s when GATE EE 2012 Control Systems - Routh Hurwitz Stability Question 12 English
A
$$K=2$$ and $$a=0.75$$
B
$$K=3$$ and $$a=0.75$$
C
$$K=4$$ and $$a=0.5$$
D
$$K=2$$ and $$a=0.5$$
2
GATE EE 2008
MCQ (Single Correct Answer)
+2
-0.6
Figure shows a feedback system where $$K>0$$ GATE EE 2008 Control Systems - Routh Hurwitz Stability Question 6 English

The range of $$k$$ for which system is stable will by given by

A
$$0 < K < 30$$
B
$$0 < K < 39$$
C
$$0 < K < 390$$
D
$$K > 390$$
3
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
If the loop gain $$K$$ of a negative feedback system having a loop transfer function $$K\left( {s + 3} \right)/{\left( {s + 8} \right)^2}$$ is to be adjusted to induce a sustained oscillation then
A
The frequency of this oscillation must be $$4/\sqrt 3 $$ rad/s
B
The frequency of this oscillation must be $$4$$ rad/s
C
The frequency of this oscillation must be $$4$$ or $$4/\sqrt 3 $$ rad/s
D
suck $$k$$ does not exist
4
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
The algebraic equation
$$F\left( s \right) = {s^5} - 3{s^4} + 5{s^3} - 7{s^2} + 4s + 20$$
$$F\left( s \right) = 0$$ has
A
single complex root with the remaining roots being real
B
one positive real root and four complex roots, all with positive real parts
C
one negative real root, two imaginary roots, and two roots with positive real parts
D
one positive real root, two imaginary roots, and two roots with negative real parts
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