MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The system given by equation y(t 2a) 3y(t a) + 2y(t) = x(t a) is? |
| A. | Stable |
| B. | Unstable |
| C. | Marginally stable |
| D. | 0 |
| Answer» B. Unstable | |
| 2. |
Find the laplace transform of input x(t) if the system given by d3 dt3 y(t) 2 d2 dt2 y(t) d dt y(t) + 2y(t) = x(t), is stable. |
| A. | s + 1 |
| B. | s 1 |
| C. | s + 2 |
| D. | s 2 |
| Answer» C. s + 2 | |
| 3. |
The system given by equation 5 d3 dt3 y(t) + 10 d dt y(t) 5y(t) = x(t) + 0t x(t)dt, is? |
| A. | Stable |
| B. | Unstable |
| C. | Has poles 0, 0.455, -0.236 1.567 |
| D. | Has zeros 0, 0.455, -0.226 1.467 |
| Answer» B. Unstable | |
| 4. |
Any system is said to be stable if and only if ____________ |
| A. | It poles lies at the left of imaginary axis |
| B. | It zeros lies at the left of imaginary axis |
| C. | It poles lies at the right of imaginary axis |
| D. | It zeros lies at the right of imaginary axis |
| Answer» B. It zeros lies at the left of imaginary axis | |
| 5. |
Find the transfer function of a system given by equation d2 dt2 y(t-a) + x(t) + 5 d dt y(t) = x(t-a). |
| A. | (e<sup>-as</sup>-s)/(1+e<sup>-as</sup> s<sup>2</sup>) |
| B. | (e<sup>-as</sup>-5s)/(e<sup>-as</sup> s<sup>2</sup>) |
| C. | (e<sup>-as</sup>-s)/(2+e<sup>-as</sup> s<sup>2</sup>) |
| D. | (e<sup>-as</sup>-5s)/(1+e<sup>-as</sup> s<sup>2</sup>) |
| Answer» E. | |
| 6. |
Find the poles of transfer function given by system d2 dt2 y(t) d dt y(t) + y(t) 0t x(t)dt = x(t). |
| A. | 0, 0.7 0.466 |
| B. | 0, 2.5 0.866 |
| C. | 0, 0 .5 0.866 |
| D. | 0, 1.5 0.876 |
| Answer» D. 0, 1.5 0.876 | |
| 7. |
Find the equation of transfer function which is defined by y(t)- 0t y(t)dt + d dt x(t) 5Sin(t) = 0. |
| A. | ( frac{s(e^{-as}-1)}{s-1} ) |
| B. | ( frac{(e^{-as}-s)}{s-1} ) |
| C. | ( frac{s(e^{-as}-s)}{s-1} ) |
| D. | ( frac{s(e^{-as}-s^2)}{s-1} ) |
| Answer» D. ( frac{s(e^{-as}-s^2)}{s-1} ) | |
| 8. |
Transfer function may be defined as ____________ |
| A. | Ratio of out to input |
| B. | Ratio of laplace transform of output to input |
| C. | Ratio of laplace transform of output to input with zero initial conditions |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |