1
GATE EE 2009
MCQ (Single Correct Answer)
+2
-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

A
$$\left( {\matrix{ {{e^{ - 3t}}} & 0 \cr {{e^{ - 2t}} + {e^{ - 3t}}} & {{e^{ - 2t}}} \cr } } \right)$$
B
$$\left( {\matrix{ {{e^{ - 3t}}} & {{e^{ - 2t}} - {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$
C
$$\left( {\matrix{ {{e^{ - 3t}}} & {{e^{ - 2t}} + {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$
D
$$\left( {\matrix{ {{e^{3t}}} & {{e^{ - 2t}} - {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$
2
GATE EE 2009
MCQ (Single Correct Answer)
+1
-0.3
The complete set of only those Logic Gates designated as Universal gates is
A
$$NOT$$, $$OR$$ and $$AND$$ Gates
B
$$XNOR,$$ $$NOR$$ and $$NAND$$ Gates
C
$$NOR$$ and $$NAND$$ Gates
D
$$XOR,$$ $$NOR$$ and $$NAND$$ Gates
3
GATE EE 2009
MCQ (Single Correct Answer)
+2
-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}

A
$$01$$ $$H$$
B
$$0F$$ $$H$$
C
$$F0$$ $$H$$
D
$$10$$ $$H$$
4
GATE EE 2009
MCQ (Single Correct Answer)
+1
-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?
A
not possible
B
4
C
3
D
2
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