MCQOPTIONS
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MCQOPTIONS
This section includes 18 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. |
Convolution of two sequences X1[n] and X2[n] are represented by: |
| A. | X1(z)*X2(z) |
| B. | X1(z)X2(z) |
| C. | X1(z)+X2(z) |
| D. | X1(z)/X2(z) |
| Answer» B. X1(z)X2(z) | |
| 2. |
Assertion (A): The z-transform of the output of the sampler is given by the series.Reason (R): The relationship is the result of the application of z = e-sT, where T stands for the time gap between the samples. |
| A. | Both A and R are true and R is correct explanation of A |
| B. | Both A and R are true but R is not 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. |
What is the z-transform of the signal x[n] = anu(n)? |
| A. | X(z) =1/z-1 |
| B. | X(z) = 1/1-z |
| C. | X(z) = z/z-a |
| D. | X(z) = 1/z-a |
| Answer» D. X(z) = 1/z-a | |
| 4. |
Assertion (A): The discrete time system described by y[n] =2x[n] +4x[n-1] is unstableReason (R): It has an impulse response with a finite number of non-zero samples |
| A. | Both A and R are true and R is correct explanation of A |
| B. | Both A and R are true but R is not correct explanation of A |
| C. | A is true but R is false |
| D. | A is false but R is true |
| Answer» E. | |
| 5. |
What is the number of roots of the polynomial F(z) = 4z3-8z2-z+2, lying outside the unit circle? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 6. |
Assertion (A): The signals anu(n) and anu(-n-1) have the same Z transform, z/(z-a)Reason (R): the region of convergence of anu(n) is |z|>|a|, whereas the ROC for anu(-n-1) is |z|<|a|. |
| A. | Both A and R are true and R is correct explanation of A |
| B. | Both A and R are true but R is not correct explanation of A |
| C. | A is true but R is false |
| D. | A is false but R is true |
| Answer» E. | |
| 7. |
A system can be represented in the form of state equations as:S (n+1) =A S (n) +B x (n)Y (n) = C S (n) +D x (n)Where, A, B, C, D are the matrices , S(n) is the state vector , x(n) is the input and y(n) is the output . The transfer function of the system.H (z) =Y (z)/X (z) is given by:a) A(ZI – B)-1 C + Db) B(ZI – C)-1 D + Ac) C(ZI – A)-1 B + Dd) D(ZI – |
| A. | A(ZI – B)-1 C + D |
| B. | B(ZI – C)-1 D + A |
| C. | C(ZI – A)-1 B + D |
| D. | D(ZI – A)-1 C + B |
| Answer» D. D(ZI – A)-1 C + B | |
| 8. |
The minimum number of delay elements required realizing a digital filter with transfer functionH (z) = |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 9. |
Consider the following statements regarding a linear discrete-time system:H (z) = z2+1/(z+0.5)(z-0.5)1. The system is stable2. The initial value of h(0) of the impulse response is -43. The steady-state output is zero for a sinusoidal discrete time input of frequency equal to one-fourth the sampling frequencyWhich of these statements are correct? |
| A. | 1,2 and 3 |
| B. | 1 and 2 |
| C. | 1 and 3 |
| D. | 2 and 3 |
| Answer» D. 2 and 3 | |
| 10. |
ASSERTION_(A):_THE_Z-TRANSFORM_OF_THE_OUTPUT_OF_THE_SAMPLER_IS_GIVEN_BY_THE_SERIES.?$ |
| A. | : The relationship is the result of the application of z = e<sup>-sT</sup>, where T stands for the time gap between the samples. |
| B. | Both A and R are true and R is correct explanation of A |
| C. | Both A and R are true but R is not correct explanation of A |
| D. | A is true but R is false |
| Answer» D. A is true but R is false | |
| 11. |
Convolution_of_two_sequences_X1[n]_and_X2[n]_are_represented_by:$ |
| A. | X1(z)*X2(z) |
| B. | X1(z)X2(z) |
| C. | X1(z)+X2(z) |
| D. | X1(z)/X2(z) |
| Answer» B. X1(z)X2(z) | |
| 12. |
Which one of the following rules determine the mapping of s-plane to z-plane? |
| A. | Right side of the s-plane maps into outside of the unit circle in z-plane |
| B. | Left half of s-plane maps into inside of the unit circle |
| C. | Imaginary axis in s-plane maps into the circumference of the unit circle |
| D. | All of the mentioned |
| Answer» E. | |
| 13. |
What is the z-transform of the signal x[n] = anu(n)? |
| A. | X(z) =1/z-1 |
| B. | X(z) = 1/1-z |
| C. | X(z) = z/z-a |
| D. | X(z) = 1/z-a |
| Answer» D. X(z) = 1/z-a | |
| 14. |
Assertion (A): The discrete time system described by y[n] =2x[n] +4x[n-1] is unstable |
| A. | : It has an impulse response with a finite number of non-zero samples |
| B. | Both A and R are true and R is correct explanation of A |
| C. | Both A and R are true but R is not correct explanation of A |
| D. | A is true but R is false |
| Answer» E. | |
| 15. |
What is the number of roots of the polynomial F(z) = 4z3-8z2-z+2, lying outside the unit circle? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 16. |
Assertion (A): The signals anu(n) and anu(-n-1) have the same Z transform, z/(z-a) |
| A. | : the region of convergence of a<sup>n</sup>u(n) is |z|>|a|, whereas the ROC for a<sup>n</sup>u(-n-1) is |z|<|a|. |
| B. | Both A and R are true and R is correct explanation of A |
| C. | Both A and R are true but R is not correct explanation of A |
| D. | A is true but R is false |
| Answer» E. | |
| 17. |
A system can be represented in the form of state equations as: |
| A. | =A S (n) +B x (n) |
| B. | = C S (n) +D x (n) |
| C. | is the state vector , x(n) is the input and y(n) is the output . The transfer function of the system. |
| D. | =Y (z)/X (z) is given by: |
| Answer» D. =Y (z)/X (z) is given by: | |
| 18. |
The minimum number of delay elements required realizing a digital filter with transfer function |
| A. | = |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |