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. |
Given x (t) = 1, |t| |
| A. | \(\frac{T_1}{T_0}\) |
| B. | \(\frac{2T_1}{T_0}\) |
| C. | \(\frac{T_1}{2T_0}\) |
| D. | \(\frac{T_0}{T_1}\) |
| Answer» C. \(\frac{T_1}{2T_0}\) | |
| 2. |
The Inverse Fourier transform of the signal 2πδ(ω) + πδ(ω-4π) + πδ(ω+4π) is ______________ |
| A. | 2π(1 – cos 4πt) |
| B. | π (1 – cos 4πt) |
| C. | 1 + cos 4πt |
| D. | 2 π (1 + cos 4πt) |
| Answer» D. 2 π (1 + cos 4πt) | |
| 3. |
The Fourier transform of the signal u(t+1) – 2u(t) + u(t-1) is ____________ |
| A. | \(\frac{2 sinω-2}{jω}\) |
| B. | \(\frac{2 cosω-2}{jω}\) |
| C. | \(\frac{2 cosω+2}{jω}\) |
| D. | \(\frac{2 sinω+2}{jω}\) |
| Answer» C. \(\frac{2 cosω+2}{jω}\) | |
| 4. |
The Fourier transform of the signal \(\frac{1}{a^2+w^2}\) is _____________ |
| A. | \(\frac{π}{a} e^{a|ω|}\) |
| B. | \(\frac{π}{a} e^{-a|ω|}\) |
| C. | \(\frac{2}{a} e^{-a|ω|}\) |
| D. | \(\frac{π}{a} e^{a|ω|}\) |
| Answer» C. \(\frac{2}{a} e^{-a|ω|}\) | |
| 5. |
The Fourier transform of the signal u (t) is ____________ |
| A. | π δ(ω) |
| B. | \(\frac{1}{jω}\) |
| C. | π δ(ω) + \(\frac{1}{jω}\) |
| D. | –\(\frac{1}{jω}\) |
| Answer» D. –\(\frac{1}{jω}\) | |
| 6. |
The Fourier transform of the signal sgn (t) is ____________ |
| A. | \(\frac{-2}{jω}\) |
| B. | \(\frac{4}{jω}\) |
| C. | \(\frac{2}{jω}\) |
| D. | \(\frac{1}{jω} + 1\) |
| Answer» D. \(\frac{1}{jω} + 1\) | |
| 7. |
Which of the following cannot be the Fourier series expansion of a periodic signal? |
| A. | x1(t) = 2 cos + 3 cos 3 |
| B. | x2(t) = 2 cos + 7 cos |
| C. | x3(t) = cos + 0.5 |
| D. | x4(t) = 2 cos 1.5 + sin 3.5t |
| Answer» C. x3(t) = cos + 0.5 | |
| 8. |
The Fourier transform of the signal sin(2πt) e-t u (t) is ____________ |
| A. | \(\frac{1}{2j} \left(\frac{1}{1+j(ω-2π)} + \frac{1}{1+j(ω+2π)}\right)\) |
| B. | \(\frac{1}{2j} \left(\frac{1}{1+j(ω-2π)} – \frac{1}{1+j(ω+2π)}\right)\) |
| C. | \(\frac{1}{2j} \left(\frac{1}{1+j(ω+2π)} – \frac{1}{1+j(ω-2π)}\right)\) |
| D. | \(\frac{1}{j} \left(\frac{1}{1+j(ω+2π)} – \frac{1}{1+j(ω-2π)}\right)\) |
| Answer» C. \(\frac{1}{2j} \left(\frac{1}{1+j(ω+2π)} – \frac{1}{1+j(ω-2π)}\right)\) | |
| 9. |
The Fourier transform of the signal \(∑_{m=0}^∞ a^m δ(t-m)\) is _____________ |
| A. | \(\frac{1}{1+ae^{-jω}}\) |
| B. | \(\frac{1}{1+ae^{jω}}\) |
| C. | \(\frac{1}{1-ae^{jω}}\) |
| D. | \(\frac{1}{1-ae^{-jω}}\) |
| Answer» E. | |
| 10. |
The trigonometric Fourier series of an even function of time does not have ___________ |
| A. | The dc term |
| B. | The cosine terms |
| C. | The sine terms |
| D. | The odd harmonic terms |
| Answer» D. The odd harmonic terms | |
| 11. |
The Fourier transform of the signal δ(t+1) + δ(t-1) is ____________ |
| A. | \(\frac{2}{1+jω}\) |
| B. | \(\frac{2}{1-jω}\) |
| C. | 2 cos ω |
| D. | 2 sin ω |
| Answer» D. 2 sin ω | |
| 12. |
The trigonometric Fourier series of a periodic time function can have only ___________ |
| A. | Only cosine terms |
| B. | Only sine terms |
| C. | Both cosine and sine terms |
| D. | Dc and cosine terms |
| Answer» E. | |
| 13. |
The Fourier series of an odd periodic function, contains __________ |
| A. | Only odd harmonics |
| B. | Only even harmonics |
| C. | Only cosine terms |
| D. | Only sine terms |
| Answer» E. | |