As found from numerous microwave experiments on the unconventional Fe-based superconductors, the temperature dependence of the quasiparticle scattering rate <$Et sup -1> cannot be accurately described within the framework of standard Drude module in the popular approximation of <$Ewt~<< <<~1>, where w is the signal frequency. To account for the discrepancy, we have extended the classical Drude model for the case of arbitrary values of wt, and obtained the expression for <$Et sup -1> as a function of experimentally measurable quantities, namely the real and imaginary parts of the microwave surface impedance. We then show the temperature dependence of <$Et sup -1> in superconducting <$E{roman Ba(Fe} sub 1-x {roman Co} sub x ) sub 2 roman As sub 2> single crystal pnictide derived from the Ka-band surface impedance measurements within the framework of the modified expression. The measurements indicate the extent to which assumption of <$Ewt~<< <<~1> gives results different from those obtained without this restriction, i.e., incorrect results.

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