1
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
The root locus of the system $$$G\left(s\right)H\left(s\right)=\frac K{s\left(s+2\right)\left(s+3\right)}$$$ has the break-away point located at
A
(-0.5,0)
B
(-2.548,0)
C
(-4,0)
D
(-0.784,0)
2
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
The open-loop transfer function of a unity feedback system is $$$G\left(s\right)=\frac k{s\left(s^2+s+2\right)\left(s+3\right)}$$$ the range of 'k' for which the system is stable
A
$$\frac{21}4>k>0$$
B
13 > k > 0
C
$$\frac{21}4<\;k\;<\;\infty$$
D
$$-6\;<\;k\;<\;\infty$$
3
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
A second-order system has the transfer function $$\frac{C\left(s\right)}{R\left(s\right)}=\frac4{s^2+4s+4}$$. With r(t) as the unit-step function, the response c(t) of the system is represented by
A
GATE ECE 2003 Control Systems - Time Response Analysis Question 19 English Option 1
B
GATE ECE 2003 Control Systems - Time Response Analysis Question 19 English Option 2
C
GATE ECE 2003 Control Systems - Time Response Analysis Question 19 English Option 3
D
GATE ECE 2003 Control Systems - Time Response Analysis Question 19 English Option 4
4
GATE ECE 2003
MCQ (Single Correct Answer)
+1
-0.3
A 0 to 6 counter consist of 3 flip-flops and a combination circuit of 2 input gate(s). The combination circuit consists of
A
one AND gate
B
one OR gate
C
one AND gate and one OR gate
D
two AND gates
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