Question:-
A system with transfer function (Y(s) / X(s)) = (s / (s+p)) has an output y(t) = cos
{2t -(p / 3)}for the input signal x(t) = p cos {2t –(p / 2)} Then, the system parameter ‘p’ is
Option (A)
Ö3
Option (B)
2 / Ö3
Option(C)
1
Option(D)
Ö3/2
Correct Option:
(B)
Question Solution:
|y(t)| = |M(w)||x (t)|
1 = (wp / Ö(w2 + p2))

w2 + p2 = w2 p2, 4 + p2 = 4p2
3p2 = 4, p = (2/Ö3)
question-answer-faq-2157