What is the ratio of output amplitude to input amplitude for a sinusoidal forcing function in a first order system ?

Related Mcqs:

1. A first order system with unity gain and time constant η is subjected to a sinusoidal input of frequency w = 1/η. The amplitude ratio for this system is______________?

   A. 1
   B. 0.5
   C. 1/√2
   D. 0.25

2. Phase lag of the frequency response of a second order system to a sinusoidal forcing function______________?

   A. Is 30°
   B. Is 90° at the most
   C. Approaches 180° asymptotically
   D. Is 120°

3. For an input forcing function, X(t) = 2t2, the Laplace transform of this function is________________?

   A. 2/s2
   B. 4/s2
   C. 2/s3
   D. 4/s3

4. The amplitude ratio for the sinusoidal response of __________ is < 1?

   A. Transportation lag
   B. First order system
   C. Second order system
   D. None of these

5. The amplitude ratio for the sinusoidal response of a _____________ is 1?

   A. First order system
   B. Second order system
   C. Transportation lag
   D. None of these

6. A sinusoidal variation in the input passing through a linear first order system _________________?

   A. Becomes more oscillatory (frequency increases)
   B. Becomes less oscillatory (frequency decreases)
   C. Gets amplified (magnitude increases)
   D. Gets attenuated (magnitude decreases)

7. Response of a system to a sinusoidal input is called _____________ response?

   A. Impulse
   B. Unit step
   C. Frequency
   D. None of these

8. Phase lag of the sinusoidal response of a first order system is _________________?

   A. 120°
   B. 30°
   C. 180°
   D. 90°

9. An amplitude ratio of 0.1 corresponds to _____________ decibels?

   A. 20
   B. -20
   C. 10
   D. -10

10. “A control system is unstable, if the open loop frequency response exhibits an amplitude ratio exceeding unity at the crossover frequency.” This is _______________ criterion?

    A. Bode stability
    B. Nyquist
    C. Routh stability
    D. None of these