A system with the transfer function $$\frac{{Y\left( s \right)}}{{X\left( s \right)}} = \frac{s}{{s + p}}$$ has an output $$y\left( t \right) = \cos \left( {2t - \frac{\pi }{3}} \right)$$ for the input signal $$x\left( t \right) = p\cos \left( {2t - \frac{\pi }{2}} \right).$$ Then, the system parameter 'p' is
A. $$\sqrt 3 $$
B. $$\frac{2}{{\sqrt 3 }}$$
C. $$1$$
D. $$\frac{{\sqrt 3 }}{2}$$
Answer: Option B

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