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A second order system has a transfer function given by

$$ G(s)=\frac{25}{s^2+8 s+25} $$

If the system, initially at rest is subjected to a unit step input at $\mathrm{t}=0$, the second peak in response will occur at

  1. $\pi \mathrm{sec}$
  2. $\frac{\pi}{3}$ sec
  3. $\frac{2 \pi}{3} \sec$
  4. $\frac{\pi}{2}$ sec
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