# Time Domain Analysis – 1 – 2

6. For a second order system

$\dpi{100} \dpi{100} \large \dpi{100} 2\tfrac{d^{2}y}{dt^{2}}+4\tfrac{dy}{dt}+8y=8x$

The damping ratio is :

(a) 0.1
(b) 0.25
(c) 0.333
(d) 0.5

Explanation
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7. Zero initial conditions means that the system is :

(a) working with zero stored energy
(b) working with zero reference signal
(c) at rest and no energy is stored in any of its components
(d) none of these

Explanation
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8. With feedback , the transient response of the system as compared to the that without feedback :

(a) decays slowly
(b) rises at faster rate
(c) rises at slower rate
(d) none of these

Explanation
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9. The Laplace transform of impulse is :

(a) zero
(b) one
(c) the inverse Laplace transform of G(s)H(s)
(d) none of these

Explanation
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10. A large time constant corresponds to a :

(a) sluggish system
(b) faster system
(c) overdamped system
(d) underdamped system