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The asymptotic Bode magnitude plot of a minimum phase transfer function $G(s)$ is shown below.

Consider the following two statements.

Statement I: Transfer function $G(s)$ has three poles and one zero.

Statement II: At very high frequency $(\omega \rightarrow \infty)$, the phase angle $\angle G(j \omega) = – \frac{3 \pi}{2}$.

Which one of the following options is correct?

  1. Statement I is true and statement II is false
  2. Statement I is false and statement II is true
  3. Both the statements are true
  4. Both the statements are false
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