1
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The magnitude of frequency response of an underdamped second order system is 5 at 0 rad/sec and peaks to $${{10} \over {\sqrt 3 }}$$ at 5 $$\sqrt 2 $$ rad/sec. The transfer function of the system is
A
$${{500} \over {{s^2} + 10s + 100}}$$
B
$${{375} \over {s2 + 5s + 75}}$$
C
$${{720} \over {s2 + 12s + 144}}$$
D
$${{1125} \over {s2 + 25s + 225}}$$
2
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
$${2^{ - 0.5}}\cos \left( {2t - 0.25\pi } \right)$$
3
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
The pole-zero plot given below corresponds to a GATE ECE 2008 Control Systems - Compensators Question 19 English
A
Low pass filter
B
High pass filter
C
Band pass filter
D
notch filter
4
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
Group I gives two possible choices for the impedance Z in the diagram. The circuit elements in Z satisfy the condition $${R_2}{C_2} > {R_1}{C_{1.}}$$ The transfer $${\textstyle{{{V_0}} \over {{V_1}}}}$$ function represents a kind of controller. Match the impedances in Group I with the types of controllers in Group II. GATE ECE 2008 Control Systems - Compensators Question 9 English 1 Group - I GATE ECE 2008 Control Systems - Compensators Question 9 English 2

Group - II
1. PID controller
2. Lead compensator
3. Lag compensator

A
Q - 1, R - 2
B
Q - 1, R - 3
C
Q - 2, R - 3
D
Q - 3, R - 2
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