BODE PLOT transfer function is represented in standard time constant form as \(T\left( s \right) = \FRAC{{k\left( {\frac{s}{{{\omega _{{c_1}}}}} + 1} \right) \ldots }}{{\left( {\frac{s}{{{\omega _{{c_2}}}}} + 1} \right)\left( {\frac{s}{{{\omega _{{c_3}}}}} + 1} \right) \ldots }}\)ωc1, ωc2, … are corner frequencies.In a Bode magnitude plot,For a pole at the ORIGIN, the initial slope is -20 dB/decadeFor a zero at the origin, the initial slope is 20 dB/decadeThe slope of magnitude plot changes at each corner frequencyThe corner frequency associated with poles causes a slope of -20 dB/decadeThe corner frequency associated with poles causes a slope of -20 dB/decadeThe final slope of Bode magnitude plot = (Z – P) × 20 dB/decadeWhere Z is the number zeros and P is the number of polesApplication:The given system is second order system. So, the number of poles is 2.The slope of the asymptote = 2 × 20 dB/decade = 40 dB/decade20 bB/decade = 6 dB/octaveTherefore, the slope of the asymptote = 12 dB/octave