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The transfer function of a system is given by,

$\frac{V_{0}(s)}{V_{i}(s)}=\frac{1-s}{1+s}$

Let the output of the system be $v_{0}(t)=V_{m} \sin (\omega t + \varphi )$ for the input, $v_{i}(t)=V_{m} \sin (\omega t )$. Then the minimum and maximum values of $\varphi$ (in radians) are respectively

  1. $\frac{-\pi}{2}$ and $\frac{\pi}{2}$
  2. $\frac{-\pi}{2}$ and $0$
  3. $0$ and $\frac{\pi}{2}$
  4. $-\pi$ and $0$
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