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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<0Sin t, if t≥0The correct statement among the following is? |
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 | |