GATE EE 2009 | GATE EE Year Wise Previous Years Questions

GATE EE 2009

MCQ (Single Correct Answer)

-0.6

A system is described by the following state and output equations $$${{d{x_1}\left( t \right)} \over {dt}} = - 3{x_1}\left( t \right) + {x_2}\left( t \right) + 2u\left( t \right)$$$ $$${{d{x_2}\left( t \right)} \over {dt}} = - 2{x_2}\left( t \right) + u\left( t \right)$$$

$$y\left( t \right) = {x_1}\left( t \right)$$ when $$u(t)$$ is the input and $$y(t)$$ is the output

The state $$-$$ transition matrix of the above system is

$$\left( {\matrix{ {{e^{ - 3t}}} & 0 \cr {{e^{ - 2t}} + {e^{ - 3t}}} & {{e^{ - 2t}}} \cr } } \right)$$

$$\left( {\matrix{ {{e^{ - 3t}}} & {{e^{ - 2t}} - {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$

$$\left( {\matrix{ {{e^{ - 3t}}} & {{e^{ - 2t}} + {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$

$$\left( {\matrix{ {{e^{3t}}} & {{e^{ - 2t}} - {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$

GATE EE 2009

MCQ (Single Correct Answer)

-0.3

The complete set of only those Logic Gates designated as Universal gates is

$$NOT$$, $$OR$$ and $$AND$$ Gates

$$XNOR,$$ $$NOR$$ and $$NAND$$ Gates

$$NOR$$ and $$NAND$$ Gates

$$XOR,$$ $$NOR$$ and $$NAND$$ Gates

GATE EE 2009

MCQ (Single Correct Answer)

-0.6

In $$8085$$ microprocessor, the contents of the Accumulator, after the following instructions are executed will become

$$\eqalign{ & XRA\,\,\,A \cr & MVI\,\,\,B\,\,\,F0\,\,\,H \cr & SUB\,\,\,B \cr} $$

$$01$$ $$H$$

$$0F$$ $$H$$

$$F0$$ $$H$$

$$10$$ $$H$$

GATE EE 2009

MCQ (Single Correct Answer)

-0.3

How many 200 W/200 V incandescent lamps connected in series would consume the same total power as a single 100 W/200 V incandescent lamp?

not possible

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