Q. Assertion (A): F(s) is valid throughout s plane except at poles of F(s).

Reason (R): £[f1(t) + f2(t)] = £[f1(t)] + £[f2(t)]

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Q. At low frequencies the factor e^(-jωT) and 1/(1+jωT) behave simple.

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Q. The overall transfer function for a unity feedback system is 4/(s² + 4s + 4). Which of the following statements about this system are correct?

1. Position error constant Kp is 4
2. System is type 1
3. Velocity error constant is finite

Select the answer as per following code:

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Q. Bandwidth is proportional to speed of response.

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Q. The complicated shapes in the polar plots are only due to time constants in the numerator of transfer functions.

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Q. For a quadratic factor in denominator of transfer function the phase angle at corner frequency (in Bode phase angle plot)

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Q. In terms of ξ and ωn the settling time (5% criterion) of a second order system for a step input, is equal to

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Q. The poles of an RC function

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Q. G(s) = 1/(s² + 0.2s + 1). It is required that response settles to within 2% of final value for a step input. The settling time is

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Q. If zeros at infinity are included in the count, the number of zeros of G(s) H(s) is

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Q. The distance of poles from origin depends on

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Q. In the field controlled motor the entire damping comes from

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Q. Assertion (A): An on off controller gives rise to oscillation of the output between two limits.

Reason (R): Location of a pair of poles on jω axis gives rise to self sustained oscillations in the output.

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Q. Consider the following statements about transport-lag

1. It is of non-minimum phase behaviour
2. It normally exists in thermal, hydraulic and pneumatic systems
3. It has an excessive phase lag with no attenuation at high frequency

Which of the above statements are correct?

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Q. Consider the following statements:

1. If any root of characteristic equation has a positive real part the impulse response is unbounded and system is unstable.
2. If all the roots of a characteristic equation have negative real parts, the impulse response decays to zero.
3. If one or more non-repeated roots of characteristic equation are on jω axis impulse response is bounded but the system is unstable.

Which of the above equations are correct?

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Q. In root locus analysis the breakaway and break in points

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Q. Gain margin and phase margin can be determined from Bode plots as well as Nyquist plot.

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Q. For the factor (1 + 0.5 jω) the corner frequency is

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Q. For any transfer function, the constant phase angle loci are

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Q. For an m x n matrix A, the eigen values are the roots of the characteristic equation

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