MCQOPTIONS
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This section includes 14 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 discrete time signal is as given below\(X [n] = cos (\frac{πn}{2}) – sin (\frac{πn}{8}) + 3 cos (\frac{πn}{4} + \frac{π}{3})\) The period of the signal X [n] is _____________ |
| A. | 16 |
| B. | 4 |
| C. | 2 |
| D. | Non-periodic |
| Answer» B. 4 | |
| 2. |
A discrete time signal is as given below\(X [n] = cos (\frac{n}{8}) cos (\frac{πn}{8})\) The period of the signal X [n] is _____________ |
| A. | 16 π |
| B. | 16(π+1) |
| C. | 8 |
| D. | Non-periodic |
| Answer» E. | |
| 3. |
A discrete time signal is as given below\(X [n] = cos \frac{πn}{9} + sin (\frac{πn}{7} + \frac{1}{2})\) The period of the signal X [n] is ______________ |
| A. | 126 |
| B. | 32 |
| C. | 252 |
| D. | Non-periodic |
| Answer» B. 32 | |
| 4. |
The signal X (t) = \(e^{j(2t + \frac{π}{6})}\) is ________________ |
| A. | Power signal with P∞ = 1 |
| B. | Power signal with P∞ = 2 |
| C. | Energy signal with E∞ = 2 |
| D. | Energy signal with E∞ = 1 |
| Answer» B. Power signal with P∞ = 2 | |
| 5. |
The signal X (t) = e-4t u (t) is _______________ |
| A. | Power signal with P∞ = \(\frac{1}{4}\) |
| B. | Power signal with P∞ = 0 |
| C. | Energy signal with E∞ = \(\frac{1}{4}\) |
| D. | Energy signal with E∞ = 0 |
| Answer» D. Energy signal with E∞ = 0 | |
| 6. |
The period of the signal Z (t) = sin3t + cos 4t is _______________ |
| A. | periodic without a definite period |
| B. | periodic with a definite period |
| C. | non- periodic over an interval |
| D. | non-periodic throughout |
| Answer» C. non- periodic over an interval | |
| 7. |
The period of the signal X (t) = 4 sin 6t + 3 sin \(\sqrt{3}\)t is ________________ |
| A. | \(\frac{2π}{3}\) s |
| B. | \(\frac{2π}{\sqrt{3}}\) s |
| C. | 2π s |
| D. | Non-periodic |
| Answer» E. | |
| 8. |
The period of the signal X (t) = 5t – 2 cos 6000 πt is ________________ |
| A. | 0.96 ms |
| B. | 1.4 ms |
| C. | 0.4 ms |
| D. | Non-periodic |
| Answer» E. | |
| 9. |
The period of the signal X (t) = 10 sin 5t – 4 cos 9t is _______________ |
| A. | \(\frac{24π}{35}\) |
| B. | \(\frac{4π}{35}\) |
| C. | 2π |
| D. | Non-periodic |
| Answer» D. Non-periodic | |
| 10. |
The period of the signal X (t) = 24 + 50 cos 60πt is _______________ |
| A. | \(\frac{1}{30}\) s |
| B. | 60 π s |
| C. | \(\frac{1}{60π}\) s |
| D. | Non-periodic |
| Answer» B. 60 π s | |
| 11. |
The odd component of the signal X (t) = ejt is _______________ |
| A. | Sin t |
| B. | Cos t |
| C. | Sinh t |
| D. | Cosh t |
| Answer» B. Cos t | |
| 12. |
The even component of the signal X (t) = ejt is _________________ |
| A. | Sin t |
| B. | Cos t |
| C. | Sinh t |
| D. | Cosh t |
| Answer» C. Sinh t | |
| 13. |
The fundamental period of the signal X (t) = 10 cos2(10 πt) is __________ |
| A. | 0.2 |
| B. | 0.1 |
| C. | 0.5 |
| D. | No fundamental period exists |
| Answer» C. 0.5 | |
| 14. |
Given the signalX (t) = cos t, if t |
| A. | Periodic with fundamental period 2π |
| B. | Periodic but with no fundamental period |
| C. | Non-periodic and discontinuous |
| D. | Non-periodic but continuous |
| Answer» D. Non-periodic but continuous | |