1
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The impulse response h(t) of a linear time invariant system is given by h(t) = $${e^{ - 2t}}u(t),$$ where u(t) denotes the unit step function.

The output of this system to the sinusoidal input x(t) = 2cos(t) for all time 't' is

A
$$0$$
B
$${2^{ - 0.25}}\cos \left( {2t - 0.125\pi } \right)$$
C
$${2^{ - 0.5}}\cos \left( {2t - 0.125\pi } \right)$$
D
$${2^{ - 0.5}}\cos \left( {2t - 0.25\pi } \right)$$
2
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
The asymptotic Bode plot of a transfer function is shown in the figure. the transfer function G(s) corresponding to this bode plot is GATE ECE 2007 Control Systems - Frequency Response Analysis Question 24 English
A
$${1 \over {\left( {s + 1} \right)\left( {s + 20} \right)}}$$
B
$${1 \over {s\left( {s + 1} \right)\left( {s + 20} \right)}}$$
C
$${{100} \over {s\left( {s + 1} \right)\left( {s + 20} \right)}}$$
D
$${{100} \over {s\left( {s + 1} \right)\left( {1 + 0.05s} \right)}}$$
3
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
The Nyquist plot of G(jω)H(jω) for a closed loop control system, passes through (-1,j0) point in the GH plane. The gain margin of the system in dB is equal to
A
infinite
B
greater than zero
C
less than zero
D
zero
4
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider a unity-gain feedback control system whose open-loop transfer function is G(s)=$${{as + 1} \over {{s^2}}}$$.

With the value of "a" set for phase-margin of $$\pi $$/4, the value of unit-impulse response of the open-loop system at t = 1 second is equal to

A
3.40
B
2.40
C
1.84
D
1.74
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