1
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
If $$F\left(s\right)\;=\;\frac\omega{s^2\;+\;\omega^2}$$, then the value of $$\underset{t\rightarrow\infty}{\lim\;}f\left(t\right),\;\left\{where\;F\left(s\right)\;is\;the\;L\left[f\left(t\right)\right]\right\}$$
A
cannot be determined
B
is zero
C
is unity
D
is infinite
2
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
Consider a unity feedback control system with open-loop transfer function $$G\left(s\right)\;=\;\frac K{s\left(s\;+\;1\right)}$$ . The steady state error of the system due to a unit step input is
A
zero
B
K
C
1/K
D
infinite
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
Consider a feedback control system with loop transfer function $$$G\left(s\right)H\left(s\right)=\frac{K\left(1+0.5s\right)}{s\left(1+s\right)\left(1+2s\right)}$$$ The type of the closed loop system is
A
$$0$$
B
1
C
2
D
3
4
GATE ECE 1995
MCQ (Single Correct Answer)
+1
-0.3
For a second order system, damping ratio $$\left(\xi\right)$$ , is 0 < $$\xi$$ < 1 ,then the roots of the characteristic polynomial are
A
Real but not equal
B
Real and equal
C
Complex conjugate
D
Imaginary
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