GATE ECE 2004 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

Consider the Bode magnitude plot shown in figure. The transfer function H(s) is GATE ECE 2004 Control Systems - Frequency Response Analysis Question 37 English

GATE ECE 2004 Control Systems - Frequency Response Analysis Question 37 English

$${{\left( {s + 10} \right)} \over {\left( {s + 1} \right)\left( {s + 100} \right)}}$$

$${{10\left( {s + 1} \right)} \over {\left( {s + 10} \right)\left( {s + 100} \right)}}$$

$${{{{10}^2}\left( {s + 1} \right)} \over {\left( {s + 10} \right)\left( {s + 100} \right)}}$$

$${{{{10}^3}\left( {s + 100} \right)} \over {\left( {s + 1} \right)\left( {s + 10} \right)}}$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

For the polynomial
P(s) = s⁵ + s⁴ + 2s³ + 2s² + 3s + 15 ,
the number of roots which lie in the right half of the s-plane is

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

A causal system having the transfer function $$G\left(s\right)\;=\;\frac1{s\;+\;2}$$ is excited with 10u(t). The time at which the output reaches 99% of its steady state value is

2.7 sec

2.5 sec

2.3 sec

2.1 sec

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

Given A $$ = \left[ {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right],$$ the state transition matrix e^At is given by

$$\left[ {\matrix{ 0 & {{e^{ - t}}} \cr {{0^{ - t}}} & 0 \cr } } \right]$$

$$\left[ {\matrix{ {{e^t}} & 0 \cr 0 & {{e^t}} \cr } } \right]$$

$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr 0 & {{e^{ - t}}} \cr } } \right]$$

$$\left[ {\matrix{ 0 & {{e^t}} \cr {{e^t}} & 0 \cr } } \right]$$

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