1
GATE ECE 1998
MCQ (Single Correct Answer)
+2
-0.6
The unit impulse response of a linear time invariant system is the unit step function u(t). For t>0, the response of the system ot an excitation e-at u(t), a > 0 will be
A
ae-at
B
(1/a)(1 - e-at)
C
a(1 - e-at)
D
1 - e-at
2
GATE ECE 1994
Subjective
+2
-0
The response of an LCR circuit to a step input is
(a) Over damped
(b) Critically damped
(c) Oscillatory

If the transfer function has

(1) poles on the negative real axis
(2) poles on the imaginary axis
(3) multiple poles on the positive real axis
(4) poles on the positive real axis
(5) multiple poles on the negative real axis

3
GATE ECE 1994
Subjective
+2
-0
Match the following with List-1 with List-2

List-1
(a) Very low response at very high frequencies.
(b) Overshoot
(c) Synchro-control transformer output

List-2
(1) Low pass systems
(2) Velocity damping
(3) Natural frequency
(4) Phase-sensitive modulation
(5) Damping ration

4
GATE ECE 1991
MCQ (Single Correct Answer)
+2
-0.6
A second order system has a transfer function given by $$\mathrm G\left(\mathrm s\right)\;=\;\frac{25}{\mathrm s^2\;+\;8\mathrm s\;+\;25}$$ .If the system, initially at rest is subjected to a unit step input at t = 0, the second peak in response will occur at
A
$$\mathrm\pi\;\sec$$
B
$$\frac{\mathrm\pi}3\;\sec$$
C
$$\frac{2\mathrm\pi}3\;\sec$$
D
$$\frac{2\mathrm\pi}3\;\sec$$
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