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Match the transfer functions of the second-order systems with the nature of the systems given below.

$\begin{array} {} \underline{\textit{Transfer functions}} & \underline{\textit{Nature of system}} \\ P: \frac{15}{s^2+5s+15} & I: \text{Overdamped} \\ Q: \frac{25}{s^2+10s+25} & II: \text{Critically damped} \\ R: \frac{35}{s^2+18s+35} & III: \text{Underdamped} \end{array}$

  1. P-I, Q-II, R-III
  2. P-II, Q-I, R-III
  3. P-III, Q-II, R-I
  4. P-III, Q-I, R-II
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