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Match List-I (transfer function) with List-II (impulse response) and select the correct answer using the codes given below the lists—
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- A B C D
2 1 4 3 - A B C D
1 2 4 3 - A B C D
2 1 3 4 - A B C D
1 2 3 4
- A B C D
Correct Option: A
(a) If F(s) = 1/s(s + 1)
then f(t) = (1 – e–t) u(t)
(b) If F(s) = 1(s + 1)2
then f(t) = te<–t u(t)
(c) If F(s) = 1/s(s + 1) + 1
= 1/s2 + s + 1
or
| F(s) = | ||
| (s + 1/2)2 + (√3/2)2 |
| then f(t) = | e–t/2 sin | t | |||
| √3 | 2 |
(d) If F(s) = 1/s2 + 1
then
f(t) = sin t
Finally we conclude that alternative (A) is the correct choice.
