1
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A Bode magnitude plot for the transfer function $$𝐺(𝑠)$$ of a plant is shown in the figure. Which one of the following transfer functions best describes the plant? GATE EE 2015 Set 1 Control Systems - Polar Nyquist and Bode Plot Question 43 English
A
$${{1000\left( {s + 10} \right)} \over {s + 1000}}$$
B
$${{10\left( {s + 10} \right)} \over {s\left( {s + 1000} \right)}}$$
C
$${{s + 1000} \over {10s\left( {s + 10} \right)}}$$
D
$${{s + 1000} \over {10\left( {s + 10} \right)}}$$
2
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $$\left( {2 - j3} \right).$$ List all the poles and zeros.
A
Poles at $$\left( {2 \pm j3} \right),$$ no zeros
B
Poles at $$\left( { \pm 2 - j3} \right),$$ one zero at origin
C
Poles at $$\left( {2 - j3} \right),\,\,\left( { - 2 + j3} \right),$$ zeros at $$\left( { - 2 - j3} \right),\,\,\left( {2 + j3} \right)$$
D
Poles at $$\left( {2 \pm j3} \right),$$ zeros at $$\left( { - 2 \pm j3} \right)$$
3
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
In the signal flow diagram given in the figure, $${u_1}$$ and $${u_2}$$ are possible inputs whereas $${y_1}$$ and $${y_2}$$ are possible outputs. When would the $$SISO$$ system derived from this diagram be controllable and observable? GATE EE 2015 Set 1 Control Systems - State Variable Analysis Question 14 English
A
When $${u_1}$$ is the only input and $${y_1}$$ is the only output
B
When $${u_2}$$ is the only input and $${y_1}$$ is the only output
C
When $${u_1}$$ is the only input and $${y_2}$$ is the only output
D
When $${u_2}$$ is the only input and $${y_2}$$ is the only output
4
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
In the $$4 \times 1$$ multiplexer, the output $$F$$ is given by $$F = A \oplus B.$$ Find the required input $${{\rm I}_3}{{\rm I}_2}{{\rm I}_1}{{\rm I}_0}.$$ GATE EE 2015 Set 1 Digital Electronics - Combinational Circuits Question 14 English
A
$$1010$$
B
$$0110$$
C
$$1000$$
D
$$1110$$