1
GATE EE 2000
MCQ (Single Correct Answer)
+1
-0.3
A linear time-invariant system initially at rest, when subjected to a unit-step input, gives a response $$y\left( t \right) = t{e^{ - t}},\,\,t > 0.$$ The transfer function of the system is:
A
$${1 \over {{{\left( {s + 1} \right)}^2}}}$$
B
$${1 \over {s{{\left( {s + 1} \right)}^2}}}$$
C
$${s \over {{{\left( {s + 1} \right)}^2}}}$$
D
$${1 \over {s\left( {s + 1} \right)}}$$
2
GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
The impulse response of an initially relaxed linear system is $${e^{ - 2t}}u\left( t \right).$$ To produce a response of $${te^{ - 2t}}u\left( t \right),$$ the input must be equal to
A
$${2e^{ - 2t}}u\left( t \right)$$
B
$${1 \over 2}{e^{ - 2t}}u\left( t \right)$$
C
$${e^{ - 2t}}u\left( t \right)$$
D
$${e^{ - t}}u\left( t \right)$$
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