A system has a complex conjugate root pair of multiplicity two or more in its characteristic equation. The impulse response of the system will be

a sinusoidal oscillation which rises exponentially with time; the system is therefore unstable.

a sinusoidal oscillation which decays exponentially; the system is therefore stable.

a sinusoidal oscillation with time multiplier; the system is therefore unstable.

a sinusoidal oscillation which rises exponentially with time; the system is therefore unstable.

a dc term and harmonic oscillation; the system therefore becomes limitingly stable.

A system has a complex conjugate root pair of multiplicity two or more

1.	A system has a complex conjugate root pair of multiplicity two or more in its characteristic equation. The impulse response of the system will be
A.	a sinusoidal oscillation which decays exponentially; the system is therefore stable.
B.	a sinusoidal oscillation with time multiplier; the system is therefore unstable.
C.	a sinusoidal oscillation which rises exponentially with time; the system is therefore unstable.
D.	a dc term and harmonic oscillation; the system therefore becomes limitingly stable.
Answer» C. a sinusoidal oscillation which rises exponentially with time; the system is therefore unstable.

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A system has a complex conjugate root pair of multiplicity two or more in its characteristic equation. The impulse response of the system will be

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