1
GATE ECE 2011
+1
-0.3
The differential equation $$100\frac{\mathrm d^2\mathrm y}{\mathrm{dt}^2}-20\frac{\mathrm{dy}}{\mathrm{dt}}+\mathrm y=\mathrm x\left(\mathrm t\right)$$$describes a system with an input x(t) and an output y(t). The system, which is initially relaxed, is excited by a unit step input. The output y(t) can be represented by the waveform A B C D 2 GATE ECE 2008 MCQ (Single Correct Answer) +1 -0.3 Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems? A B C D 3 GATE ECE 2007 MCQ (Single Correct Answer) +1 -0.3 If the Laplace transform of a signal y(t) is $$Y\left(s\right)\;=\;\frac1{s\left(s\;-\;1\right)}$$ , then its final value is: A -1 B $$0$$ C 1 D unbounded 4 GATE ECE 2002 MCQ (Single Correct Answer) +1 -0.3 Consider a system with the transfer function $$G\left(s\right)=\frac{s+6}{Ks^2+s+6}$$$ Its damping ratio will be 0.5 when the value of K is
A
2/6
B
3
C
1/6
D
6
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Medical
NEET