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The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below.

The gain margin of the system under closed loop unity negative feedback is

  1. $0 \mathrm{~dB}$
  2. $20 \mathrm{~dB}$
  3. $26 \mathrm{~dB}$
  4. $46 \mathrm{~dB}$
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