MCQOPTIONS
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MCQOPTIONS
This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The steady state value of F (t), if it is known that F(s) = ( frac{b}{s(s+1)(s+a)} ), where a>0, is ________________ |
| A. | ( frac{b}{a} ) |
| B. | ( frac{a}{b} ) |
| C. | 1 |
| D. | Cannot be determined |
| Answer» B. ( frac{a}{b} ) | |
| 2. |
A series RC circuit excited by voltage V is __________ |
| A. | A memory less system |
| B. | A causal system |
| C. | A dynamic system |
| D. | Static system |
| Answer» D. Static system | |
| 3. |
For the system, y (t) = u{x (t)} which of the following holds true? |
| A. | System is Linear, time-invariant, causal and stable |
| B. | System is time-invariant, causal and stable |
| C. | System is causal and stable |
| D. | System is stable |
| Answer» C. System is causal and stable | |
| 4. |
The impulse response of a LTI system which is continuous is H (t) = e-|t|. The system is ___________ |
| A. | Causal and stable |
| B. | Causal but not stable |
| C. | Stable but not causal |
| D. | Neither causal nor stable |
| Answer» D. Neither causal nor stable | |
| 5. |
The value of the radius of convergence of f(n) = 2n, n<0 is ____________ |
| A. | 0<| z |<1 |
| B. | -2<| z | |
| C. | | z |<2 |
| D. | z-plane |
| Answer» D. z-plane | |
| 6. |
Given that X(s) is the Laplace transform of the signal cos 2t u (t). The signal X(3s) corresponds is _______________ |
| A. | cos( ( frac{2}{3} ) t) u (t) |
| B. | ( frac{1}{3} ) cos( ( frac{2}{3} ) t) u (t) |
| C. | cos u20616t u(t) |
| D. | ( frac{1}{3} ) cos u20616t u(t) |
| Answer» C. cos u20616t u(t) | |
| 7. |
Given that X(s) is the Laplace transform of the signal cos 2t u (t). The time signal corresponding to (s+1) X(s) is _________________ |
| A. | (cos 2t 2 sin 2t) u (t) |
| B. | (cos 2t + ( frac{sin u20612t}{2} )) u (t) |
| C. | (cos 2t + 2 sin 2t) u (t) |
| D. | (cos 2t ( frac{sin u20612t}{2} )) u (t) |
| Answer» B. (cos 2t + ( frac{sin u20612t}{2} )) u (t) | |
| 8. |
The system under consideration is an RC low-pass filter with R = 1 k and C = 1 F. Let H (f) denotes the frequency response of the RC, low-pass filter. Let t1(f) be the group delay function of the given RC low-pass filter and f2 = 100 Hz. Then tg(f2) in ms is ___________ |
| A. | 0.717 |
| B. | 7.17 |
| C. | 71.7 |
| D. | 4.505 |
| Answer» B. 7.17 | |
| 9. |
The ROC of u(n) = 4n, for n<0; 2n, for n 0 is ___________ |
| A. | 0<z<1 |
| B. | z<4 |
| C. | 2<z |
| D. | 2<z<4 |
| Answer» E. | |
| 10. |
The Radius of convergence of f(n) = 5n/n!, n 0 is __________ |
| A. | -2<|z|<2 |
| B. | Z-plane |
| C. | | z |<2 |
| D. | |z| = 2 |
| Answer» C. | z |<2 | |
| 11. |
The ROC of u(n) = (_k^nC ) is __________ |
| A. | | z | > 1 |
| B. | | z | < 1 |
| C. | -1 < | z | < 1 |
| D. | -1 < | z | |
| Answer» B. | z | < 1 | |
| 12. |
The impulse response h (t) of a LTI system is given by h (t) = exp (-2t) u (t) where, u (t) denotes the unit step function. The output of this system to the sinusoidal input x(t) = 2 cos(2t) for all t, is _____________ |
| A. | 0 |
| B. | 2<sup>-0.25</sup> cos(2t-0.125 ) |
| C. | 2<sup>-0.5</sup> cos(2t-0.125 ) |
| D. | 2<sup>-0.5</sup> cos(2t-0.25 ) |
| Answer» E. | |
| 13. |
The impulse response h (t) of a LTI system is given by h (t) = exp (-2t) u (t) where, u (t) denotes the unit step function. The frequency response H( ) is ____________ |
| A. | ( frac{1}{1+j2 } ) |
| B. | ( frac{sin u2061 }{ } ) |
| C. | ( frac{1}{2+j } ) |
| D. | ( frac{j }{2+j } ) |
| Answer» D. ( frac{j }{2+j } ) | |