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Statement for Linked Answer Questions 82 and 83
Consider a unity-gain feedback control system whose open-loop transfer function is
\[G(s)=\frac{as+1}{s^{2}}\]

The value of '$a$' so that the system has a phase-margin equal to $\frac{\pi}{4}$ is approximately equal to

  1. $2.40$
  2. $1.40$
  3. $0.84$
  4. $0.74$

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