MCQOPTIONS
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MCQOPTIONS
This section includes 11 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. |
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 | |
| 3. |
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 | |
| 4. |
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 | |
| 5. |
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. | cos6t u(t) |
| D. | \(\frac{1}{3}\) cos6t u(t) |
| Answer» C. cos6t u(t) | |
| 6. |
The system under consideration is an RC low-pass filter with R = 1 kΩ and C = 1 µF. 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 | |
| 7. |
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. | |
| 8. |
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 | |
| 9. |
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 | |
| 10. |
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. | 2-0.25 cos(2t-0.125π) |
| C. | 2-0.5 cos(2t-0.125π) |
| D. | 2-0.5 cos(2t-0.25π) |
| Answer» E. | |
| 11. |
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(ω) is ____________ |
| A. | \(\frac{1}{1+j2ω}\) |
| B. | \(\frac{sinω}{ω}\) |
| C. | \(\frac{1}{2+jω}\) |
| D. | \(\frac{jω}{2+jω}\) |
| Answer» D. \(\frac{jω}{2+jω}\) | |