Control Systems
A unity feedback control system has forward loop transfer function as e-Ts/s(s+1). Its phase value will be zero at frequency ω1. Which of the following equations should be satisfied by ω1?

 ω1 = tan(Tω1)
 ω1 = cot(Tω1)
 Tω1 = tan(ω1)
 Tω1 = cot(ω1)

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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

  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).
 maximum degree of P (s) and Q (s) differ at most by one.
 the degree of P (s) and Q (s) are same.

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