1
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
If $$F\left(s\right)\;=\;\frac\omega{s^2\;+\;\omega^2}$$, then the value of $$\underset{t\rightarrow\infty}{\lim\;}f\left(t\right),\;\left\{where\;F\left(s\right)\;is\;the\;L\left[f\left(t\right)\right]\right\}$$
A
cannot be determined
B
is zero
C
is unity
D
is infinite
2
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
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The number of roots of $$s^3\;+\;5s^2\;+\;7s\;+\;3\;=\;0$$ in the left half of the s-plane are
A
$$0$$
B
1
C
2
D
3
4
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The transfer function of a tachometer is of the form
A
Ks
B
$$\frac{\mathrm K}{\mathrm s}$$
C
$$\frac{\mathrm K}{\left(\mathrm s+1\right)}$$
D
$$\frac{\mathrm K}{\mathrm s\left(\mathrm s+1\right)}$$
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