Control Systems
The transfer function of phase lead compensator is given by , where, T > 0, α < 0. What is the maximum phase shift provided by this compensator?

 sin-1((1 - α)/(1 + α)
 cos-1((1 - α)/(1 + α)
 tan-1((1 - α)/(2√α)
 both 1 and 3

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Control Systems
For a transfer function H (s) = P(s) / Q(s), where P (s) and Q (s) are polynomials in s. Then

 the degree of P (s) and Q (s) are same.
 maximum degree of P (s) and Q (s) differ at most by one.
  degree of P (s) is independent of degree of Q (s).
 the degree of P (s) is always greater than the degree of Q (s).

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