Multiple choice

The magnitude of frequency responses of an underdamped second order system is 5 at 0 rad/sec and peaks to $\dfrac{10}{\sqrt3}$ at 5 $\sqrt2$ rad/sec. The transfer function of the system is

  1. $ \dfrac{500}{(s^2+10s+100)} $
  2. $ \dfrac{375}{(s^2+5s+75)} $
  3. $ \dfrac{720}{(s^2+12s+144)} $
  4. $ \dfrac{1125}{(s^2+25s+225)} $
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A Correct answer
Explanation