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The output of a standard second-order system for a unit-step input is given as . What is the transfer function of the system?

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Option 4 :
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The correct option is 4

Concept:

Given the output of the second-order system is 

Compare this with the standard equation with unit step input

By squaring on both sides

The transfer function of the standard second-order system is:

Where

ζ is the damping ratio = 0.5

ωn is the natural frequency = 2

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