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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. |
A band pass signal extends from 4-6 kHz. The smallest sampling frequency required to attain all the information in the signal is _________________ |
| A. | 10 kHz |
| B. | 8 kHz |
| C. | 6 kHz |
| D. | 4 kHz |
| Answer» E. | |
| 2. |
Increased pulse-width in the flat-top sampling , leads to ______________ |
| A. | Attenuation of high frequencies in reproduction |
| B. | Attenuation of low frequencies in reproduction |
| C. | Greater aliasing errors in reproduction |
| D. | No harmful effects in reproduction |
| Answer» B. Attenuation of low frequencies in reproduction | |
| 3. |
Let x(t) be a continuous time, real valued signal band limited to F Hz. The Nyquist sampling rate in Hz, for y(t) = x(0.5t) + x(t) – x(2t) is ______________ |
| A. | F |
| B. | 2F |
| C. | 4F |
| D. | 8F |
| Answer» D. 8F | |
| 4. |
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 + \(\frac{sin2t}{2}\)) u (t) |
| C. | (cos 2t + 2 sin 2t) u (t) |
| D. | (cos 2t – \(\frac{sin2t}{2}\)) u (t) |
| Answer» B. (cos 2t + \(\frac{sin2t}{2}\)) u (t) | |
| 5. |
Given, R = 10 Ω, L = 100 mH and C = 10 μF. Selectivity is ____________ |
| A. | 10 |
| B. | 1.2 |
| C. | 0.15 |
| D. | 0.1 |
| Answer» E. | |
| 6. |
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is _______________ |
| A. | 5 kHz |
| B. | 12 kHz |
| C. | 15 kHz |
| D. | 20 kHz |
| Answer» B. 12 kHz | |
| 7. |
A voltage LT is given as \(\frac{4s^2+3s+2}{7s^2+6s+5}\). It is applied across a 2H inductor having zero initial current. The current in the inductor at t = ∞ is ___________ |
| A. | 0 |
| B. | 1/5 A |
| C. | 2/7 A |
| D. | 2/5 A |
| Answer» C. 2/7 A | |
| 8. |
Given that, F(s) = \(\frac{w}{s^2+w^2}\). Re[s]>0. The final value of f(t) is ___________ |
| A. | 0 |
| B. | 1 |
| C. | [-1,1] |
| D. | ∞ |
| Answer» D. ∞ | |
| 9. |
The Laplace transform of a signal is given as Y(s) = \(\frac{1}{s(s-1)}\), then the final value is ___________ |
| A. | -1 |
| B. | 0 |
| C. | 1 |
| D. | Unbounded |
| Answer» E. | |
| 10. |
The final value of X(s) = \(\frac{12(s+1)}{s(s^2+4)}\) is _________ |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | Undetermined |
| Answer» E. | |
| 11. |
The impulse response h[n] of a linear time-invariant system is h[n] = u [n+3] + u [n-2] – 2u [n-7] where, u[n] is the step unit response. The above system is ________________ |
| A. | Stable but not causal |
| B. | Stable and causal |
| C. | Causal but unstable |
| D. | Unstable and not causal |
| Answer» B. Stable and causal | |
| 12. |
The property of Fourier Transform which states that the compression in time domain is equivalent to the expansion in the frequency domain is ____________ |
| A. | Duality |
| B. | Scaling |
| C. | Time scaling |
| D. | Frequency shifting |
| Answer» D. Frequency shifting | |
| 13. |
For any given signal, average power in its 6 harmonic components as 10 mW each and fundamental component also has 10 mV power. Then, average power in the periodic signal is _______________ |
| A. | 70 |
| B. | 60 |
| C. | 10 |
| D. | 5 |
| Answer» C. 10 | |