1
GATE ECE 2012
+1
-0.3
A system with transfer function g(s) = $${{\left( {{s^2} + 9} \right)\left( {s + 2} \right)} \over {\left( {s + 1} \right)\left( {s + 3} \right)\left( {s + 4} \right)}},$$ is excited by $$\sin \left( {\omega t} \right).$$ The steady-state output of the system is zero at
A
$$\omega = 1rad/\sec$$
B
$$\omega = 2rad/\sec$$
C
$$\omega = 3rad/\sec$$
D
$$\omega = 4rad/\sec$$
2
GATE ECE 2011
+1
-0.3
For the transfer function G$$\left( {j\omega } \right) = 5 + j\omega ,$$ the corresponding Nyquist plot for positive frequency has the form
A
B
C
D
3
GATE ECE 2010
+1
-0.3
For the asymptotic Bode magnitude plot shown below, the system transfer function can be
A
$${{10s + 1} \over {0.1s + 1}}$$
B
$${{100s + 1} \over {0.1s + 1}}$$
C
$${{100s} \over {10s + 1}}$$
D
$${{0.1s + 1} \over {10s + 1}}$$
4
GATE ECE 2010
+1
-0.3
A system with the transfer function $${{Y(s)} \over {X(s)}} = {s \over {s + p}},$$ has an output y(t)=$$\cos \left( {2t - {\pi \over 3}} \right),$$ for input signal x(t)=$$p\cos \left( {2t - {\pi \over 2}} \right).$$ Then the system parameter 'p' is
A
$$\sqrt 3$$
B
$${2 \over {\sqrt 3 }}$$
C
1
D
$${{\sqrt 3 } \over 2}$$
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