41. Sinusoidal oscillators are :

(a) stable

(b) unstable

(c) marginally stable

(d) conditionally stable

42. The open-loop transfer function of a control system is given by G(s) = (K(s+8))/(S( s+4)(s+a)) The smallest possible value of a for which the system is stable in the closed-loop for all positive value of K is :

(a) 0

(b) 4

(c) 8

(d) 12

43. The routh stability criterion for testing the stability of system is :

(a) an algebraic method

(b) a graphical method

(c) combination of a and b

(d) none of these

44. The open-loop transfer function of a unity negative feedback control system is given by G(s) = (K(s+4))/(S( s+2)(s+6)) For K >4, the stability characteristics of the open-loop and closedloop configurations of the system are, respectively

(a) stable and stable

(b) unstable and stable

(c) stable and unstable

(d) unstable and unstable

45. Because of the addition of a zero to G(s)H(s), the stability of the system is :

(a) improved

(b) reduced

(c) not affected

(d) none of these

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