MCQOPTIONS
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MCQOPTIONS
This section includes 11 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. |
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 (cos 2t)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 sin 2t 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 sin t u(t). |
| A. | ( frac{s+a}{(s+a)^2- ^2} ) |
| B. | ( frac{ }{(s+a)^2- ^2} ) |
| C. | ( frac{s+a}{(s+a)^2+ ^2} ) |
| D. | ( frac{ }{(s+a)^2+ ^2} ) |
| Answer» E. | |
| 6. |
Find the Laplace transform of cos t u(t). |
| A. | ( frac{s}{s^2+ ^2} ) |
| B. | ( frac{s}{s^2- ^2} ) |
| C. | ( frac{ }{s^2+ ^2} ) |
| D. | ( frac{ }{s^2- ^2} ) |
| Answer» B. ( frac{s}{s^2- ^2} ) | |
| 7. |
Find the ROC of x(t) = e-2t u(t) + e-3t u(t). |
| A. | >2 |
| B. | >3 |
| C. | >-3 |
| D. | >-2 |
| Answer» E. | |
| 8. |
Find the Laplace transform of u(t) and its ROC. |
| A. | ( frac{1}{s} ), <0 |
| B. | ( frac{1}{s} ), >0 |
| C. | ( frac{1}{s-1} ), =0 |
| D. | ( frac{1}{1-s} ), 0 |
| Answer» C. ( frac{1}{s-1} ), =0 | |
| 9. |
Find the Laplace transform of (t). |
| A. | 1 |
| B. | 0 |
| C. | |
| D. | 2 |
| Answer» B. 0 | |
| 10. |
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. | |
| 11. |
The necessary condition for convergence of the Laplace transform is the absolute integrability of f(t)e- t. |
| A. | True |
| B. | False |
| Answer» B. False | |