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The magnitude of frequency response of an underdamped second order system is $5$ at $0 \; \mathrm{rad} / \mathrm{sec}$ and peaks to $\frac{10}{\sqrt{3}}$ at $5 \sqrt{2} \; \mathrm{rad} / \mathrm{sec}$. The transfer function of the system is

1. $\frac{500}{s^{2}+10 s+100}$
2. $\frac{375}{s^{2}+5 s+75}$
3. $\frac{720}{s^{2}+12 s+144}$
4. $\frac{1125}{s^{2}+25 s+225}$