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1

### GATE EE 1995

Fill in the Blanks
The steady state error due to a step input for type $$1$$ system is ______________.

Zero
2

### GATE EE 1995

The Laplace transformation of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$ the final value of $$f(t)$$ is
A
infinity
B
zero
C
one
D
none of these
3

### GATE EE 1992

For what values of $$'a'$$ does the system shown in figure have a zero steady state error $$\left[ {i.e.,\mathop {Lim}\limits_{t \to \infty } \,\,E\left( t \right)} \right]$$ for a step input? A
$$a=0$$
B
$$a=2$$
C
$$a \ge 4$$
D
for no value of $$' a'$$
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