The (mathrm{dB}) (Bode plot) of transfer function (mathrm{G}(mathrm{s})) is shown in figure below. Now, consider the following

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The \(\mathrm{dB}\) (Bode plot) of transfer function \(\mathrm{G}(\mathrm{s})\) is shown in figure below.

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Now, consider the following statements.
I. \(\mathrm{G}(s)\) has corner frequencies at \(\omega=0.1,1\) and 10 .
II. \(\mathrm{G}(s)=\frac{100(s+1)}{s(s+10)}\).
III. The magnitude, \(20 \log _{10}|\mathrm{G}(j \omega)|\) at \(\omega=1000\), is \(-20 \mathrm{~dB}\).

Of these, the correct statements are
(a) I, II and III
(b) I and II
(c) II and III
(d) I and III.

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