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A second-order system has

Its frequency response will have a maximum value at the frequency:

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  2. ωnξ
  4. Zero

Answer (Detailed Solution Below)

Option 3 :
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The transfer function of the standard 2nd order system is defined as

The resonant frequency ω0 is given by

Where ωn = undamped natural frequency

ξ = Damping ratio

Resonant peak M0 is given by:

Resonant frequency (ωr) is the frequency at which the magnitude characteristic of frequency response curve has its peak value.

The above equation is meaningful only for 1 – 2ζ2 ≥ 0, i.e.

Note: If ζ > 0.707, then ωr = 0

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