MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the Laplace transform of [1 +sin 2t cos 2t]u(t). |
| A. | \(\frac{s^2+2s+16}{s(s^2-4^2)}\) |
| B. | \(\frac{s^2+2s+16}{s(s^2+4^2)}\) |
| C. | \(\frac{s^2+2s+16}{(s^2+4^2)}\) |
| D. | \(\frac{s^2+2s+16}{s}\) |
| Answer» C. \(\frac{s^2+2s+16}{(s^2+4^2)}\) | |
| 2. |
Find the Laplace transform of (cos2t)3 u(t). |
| A. | \(\frac{s(s^2+28)}{(s^2+36)(s^2+4)}\) |
| B. | \(\frac{s(s^2+36)}{(s^2+28)(s^2+4)}\) |
| C. | \(\frac{s(s^2+4)}{(s^2+36)(s^2+28)}\) |
| D. | \(\frac{s}{(s^2+36)(s^2+4)}\) |
| Answer» B. \(\frac{s(s^2+36)}{(s^2+28)(s^2+4)}\) | |
| 3. |
Find the Laplace transform of the signal x(t)=te-2|t|. |
| A. | \(-\frac{1}{(s-2)^2} + \frac{1}{(s+2)^2}\) |
| B. | \(\frac{1}{(s-2)^2} + \frac{1}{(s+2)^2}\) |
| C. | \(\frac{1}{(s-2)^2} – \frac{1}{(s+2)^2}\) |
| D. | \(-\frac{1}{(s-2)^2} – \frac{1}{(s+2)^2}\) |
| Answer» B. \(\frac{1}{(s-2)^2} + \frac{1}{(s+2)^2}\) | |
| 4. |
Find the Laplace transform of the signal x(t)=et sin2t for t≤0. |
| A. | \(\frac{2}{(s-1)^2+2^2}\) |
| B. | \(-\frac{2}{(s-1)^2+2^2}\) |
| C. | \(\frac{2}{(s+1)^2+2^2}\) |
| D. | \(-\frac{2}{(s+1)^2+2^2}\) |
| Answer» C. \(\frac{2}{(s+1)^2+2^2}\) | |
| 5. |
Find the Laplace transform of e-at sinωt u(t). |
| A. | \(\frac{s+a}{(s+a)^2-ω^2}\) |
| B. | \(\frac{ω}{(s+a)^2-ω^2}\) |
| C. | \(\frac{s+a}{(s+a)^2+ω^2}\) |
| D. | \(\frac{ω}{(s+a)^2+ω^2}\) |
| Answer» E. | |
| 6. |
Find the Laplace transform of cosωt u(t). |
| A. | \(\frac{s}{s^2+ω^2}\) |
| B. | \(\frac{s}{s^2-ω^2}\) |
| C. | \(\frac{ω}{s^2+ω^2}\) |
| D. | \(\frac{ω}{s^2-ω^2}\) |
| Answer» B. \(\frac{s}{s^2-ω^2}\) | |
| 7. |
Find the ROC of x(t) = e-2t u(t) + e-3t u(t). |
| A. | σ>2 |
| B. | σ>3 |
| C. | σ>-3 |
| D. | σ>-2 |
| Answer» E. | |
| 8. |
Find the Laplace transform of δ(t). |
| A. | 1 |
| B. | 0 |
| C. | ∞ |
| D. | 2 |
| Answer» B. 0 | |
| 9. |
Find the Laplace transform of e-at u(t) and its ROC. |
| A. | \(\frac{1}{s-a}\), Re{s}>-a |
| B. | \(\frac{1}{s}\), Re{s}>a |
| C. | \(\frac{1}{s×a}\), Re{s}>a |
| D. | \(\frac{1}{s+a}\), Re{s}>-a |
| Answer» E. | |
| 10. |
The necessary condition for convergence of the Laplace transform is the absolute integrability of f(t)e-σt. |
| A. | True |
| B. | False |
| Answer» B. False | |