MCQOPTIONS
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MCQOPTIONS
This section includes 14 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane.Reason (R): For a rational system, ROC is bounded by poles |
| A. | Both A and R are true and R is the correct explanation of A |
| B. | Both A and R are true bit R is NOT the correct explanation of A |
| C. | A is true but R is false |
| D. | A is false but R is true |
| Answer» C. A is true but R is false | |
| 2. |
Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane.Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane. |
| A. | Both A and R are true and R is the correct explanation of A |
| B. | Both A and R are true bit R is NOT the correct explanation of A |
| C. | A is true but R is false |
| D. | A is false but R is true |
| Answer» D. A is false but R is true | |
| 3. |
If X(z) =(z+z-3)/(z+z-1), then x(n) series has: |
| A. | Alternate 0s |
| B. | Alternate 1s |
| C. | Alternate 2s |
| D. | Alternate -1s |
| Answer» B. Alternate 1s | |
| 4. |
Assertion (A): An LTI discrete system represented by the difference equation. y (n+2)-5y(n+1)+6y(n) =x(n) is unstable.Reason (R): A system is unstable if the roots of the characteristic equation lie outside the unit circle. |
| A. | Both A and R are true and R is the correct explanation of A |
| B. | Both A and R are true but R is NOT the correct explanation of A |
| C. | A is true but R is false |
| D. | A is false but R is false |
| Answer» B. Both A and R are true but R is NOT the correct explanation of A | |
| 5. |
ASSERTION_(A):_THE_STABILITY_OF_THE_SYSTEM_IS_ASSURED_IF_THE_ROC_INCLUDES_THE_UNIT_CIRCLE_IN_Z-PLANE.?$ |
| A. | : For a causal stable system all the poles should be outside the unit circle in the z-plane. |
| B. | Both A and R are true and R is the correct explanation of A |
| C. | Both A and R are true bit R is NOT the correct explanation of A |
| D. | A is true but R is false |
| Answer» D. A is true but R is false | |
| 6. |
Assertion_(A):_For_the_rational_transfer_function_H(z)_to_be_causal,_stable_and_causally_invertible,_both_the_zeroes_and_the_poles_should_lie_within_the_unit_circle_in_the_z-plane.$ |
| A. | : For a rational system, ROC is bounded by poles |
| B. | Both A and R are true and R is the correct explanation of A |
| C. | Both A and R are true bit R is NOT the correct explanation of A |
| D. | A is true but R is false |
| Answer» C. Both A and R are true bit R is NOT the correct explanation of A | |
| 7. |
If X(z) =(z+z-3)/(z+z-1), then x(n) series has? |
| A. | Alternate 0s |
| B. | Alternate 1s |
| C. | Alternate 2s |
| D. | Alternate -1s |
| Answer» B. Alternate 1s | |
| 8. |
The poles of a digital filter with linear phase response can lie |
| A. | Only at z =0 |
| B. | Only on the unit circle |
| C. | Only inside the unit circle but not at z =0 |
| D. | On the left side of Real (z) =0 line |
| Answer» C. Only inside the unit circle but not at z =0 | |
| 9. |
Assertion (A): An LTI discrete system represented by the difference equation. y (n+2)-5y(n+1)+6y(n) =x(n) is unstable. |
| A. | : A system is unstable if the roots of the characteristic equation lie outside the unit circle. |
| B. | Both A and R are true and R is the correct explanation of A |
| C. | Both A and R are true but R is NOT the correct explanation of A |
| D. | A is true but R is false |
| Answer» B. Both A and R are true and R is the correct explanation of A | |
| 10. |
Difference equation technique for higher order systems is used in: |
| A. | Laplace transform |
| B. | Fourier transform |
| C. | Z-transform |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 11. |
Difference equation solution yields at the sampling instants only: |
| A. | True |
| B. | False |
| Answer» B. False | |
| 12. |
Difference equation in discrete systems is similar to the _____________ in continuous systems. |
| A. | Difference equation |
| B. | Differential equation |
| C. | Quadratic equation |
| D. | None of the mentioned |
| Answer» C. Quadratic equation | |
| 13. |
Difference equation is used in : |
| A. | Discrete time analysis |
| B. | Continuous time analysis |
| C. | Digital analysis |
| D. | None of the mentioned |
| Answer» B. Continuous time analysis | |
| 14. |
Difference equation model results in: |
| A. | Sampled-data systems |
| B. | Numerical analysis of continuous time systems |
| C. | Continuous time feedback systems |
| D. | Both a and b |
| Answer» E. | |