1
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
The unit-step response of a system starting from rest is given by $$$\mathrm c\left(\mathrm t\right)=1-\mathrm e^{-2\mathrm t}\;\mathrm{for}\;\mathrm t\geq0$$$The transfer function of the system is:
A
$$\frac1{1+2s}$$
B
$$\frac2{2+s}$$
C
$$\frac1{2+s}$$
D
$$\frac{2s}{1+2s}$$
2
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
A ramp input applied to an unity feedback system results in 5% steady state error. The type number and zero frequency gain of the system are respectively.
A
1 and 20
B
0 and 20
C
0 and 1/20
D
1 and 1/20
3
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
In the derivation of expression for peak percent overshoot,$$$M_p=exp\left(\frac{-\mathrm{πξ}}{\sqrt{1-\xi^2}}\right)\times100\%$$$ .Which one of the following conditions is NOT required?
A
System is linear and time invariant.
B
The system transfer function has a pair of complex conjugate poles and no zeroes.
C
There is no transportation delay in the system.
D
The system has zero initial conditions.
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-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
A
2.7 sec
B
2.5 sec
C
2.3 sec
D
2.1 sec
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