MCQOPTIONS
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MCQOPTIONS
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. |
The Laplace transform of f(t) = sin(2t) cos(2t) is ____________ |
| A. | ( frac{1}{2}{ frac{s}{s^2+16}} ) |
| B. | ( frac{1}{2}{ frac{4}{s^2+16}} ) |
| C. | ( frac{4}{s^2+16} ) |
| D. | ( frac{1}{2} ) |
| Answer» C. ( frac{4}{s^2+16} ) | |
| 2. |
The Laplace transform of the function sin (4t) cos (2t) is ____________ |
| A. | ( frac{2}{s^2+16} ) |
| B. | ( frac{2}{s^2-16} ) |
| C. | ( frac{s^2+16}{2} ) |
| D. | ( frac{s^2-16}{2} ) |
| Answer» B. ( frac{2}{s^2-16} ) | |
| 3. |
W(t) = 2, 0 t<4;
|
| A. | nThe Laplace transform of W (t) is ___________ |
| B. | ( frac{2}{s} e-{4s} ( frac{2}{s^3} frac{8}{s^2} frac{14}{s}) ) |
| C. | ( frac{2}{s} + e-{4s} ( frac{2}{s^3} frac{8}{s^2} frac{14}{s}) ) |
| D. | ( frac{2}{s} e-{4s} ( frac{2}{s^3} + frac{8}{s^2} + frac{14}{s}) ) |
| E. | ( frac{2}{s} + e-{4s} ( frac{2}{s^3} + frac{8}{s^2} + frac{14}{s}) ) |
| Answer» E. ( frac{2}{s} + e-{4s} ( frac{2}{s^3} + frac{8}{s^2} + frac{14}{s}) ) | |
| 4. |
V(t) = 5, 0 t<1;
|
| A. | nThe Laplace transform of V (t) is ___________ |
| B. | ( frac{5}{s} + frac{e^{-s}}{s^2} + frac{4e^{-s}}{s} ) |
| C. | ( frac{5}{s} + frac{e^{-s}}{s^2} frac{4e^{-s}}{s} ) |
| D. | ( frac{5}{s} frac{e^{-s}}{s^2} frac{4e^{-s}}{s} ) |
| E. | ( frac{5}{s} frac{e^{-s}}{s^2} + frac{4e^{-s}}{s} ) |
| Answer» C. ( frac{5}{s} + frac{e^{-s}}{s^2} frac{4e^{-s}}{s} ) | |
| 5. |
U(t) = 0, 0 t<7;
|
| A. | nThe Laplace transform of U (t) is ___________ |
| B. | ( frac{6e^{-7s}}{s^4} ) |
| C. | ( frac{3e^{-7s}}{s^4} ) |
| D. | ( frac{6e^{-7s}}{s^3} ) |
| E. | ( frac{3e^{-7s}}{s^3} ) |
| Answer» B. ( frac{6e^{-7s}}{s^4} ) | |
| 6. |
J(t) = 4, 0 t<2;
|
| A. | nThe Laplace transform of J (t) is ____________ |
| B. | ( frac{4}{s} + frac{5e^{-2s}}{(s+1)^2} ) |
| C. | ( frac{4}{s} frac{5e^{-2s}}{(s+1)^2} ) |
| D. | ( frac{4}{s} frac{5e^{-2s}}{(s-1)^2} ) |
| E. | ( frac{4}{s} + frac{5e^{-2s}}{(s-1)^2} ) |
| Answer» E. ( frac{4}{s} + frac{5e^{-2s}}{(s-1)^2} ) | |
| 7. |
H(t) = 0, 0 t<3;
|
| A. | nThe Laplace transform of H (t) is ___________ |
| B. | ( frac{3e^{-3s}}{s^2-1} ) |
| C. | ( frac{3e^{-3s}}{s^2+1} ) |
| D. | ( frac{6e^{-3s}}{s^2+1} ) |
| E. | ( frac{6e^{-3s}}{s^2-1} ) |
| Answer» D. ( frac{6e^{-3s}}{s^2+1} ) | |
| 8. |
F(t) = 0, 0 t<6;
|
| A. | nThe Laplace transform of F (t) is __________ |
| B. | ( frac{3e^{-6s}}{s^2} ) |
| C. | ( frac{6e^{-6s}}{s} ) |
| D. | ( frac{3e^{-6s}}{s} ) |
| E. | ( frac{6e^{-6s}}{s^2} ) |
| Answer» D. ( frac{3e^{-6s}}{s} ) | |
| 9. |
Given f (t) = [cos (3t)]2. The value of L {f(t)} is _______________ |
| A. | ( frac{1}{2}( frac{1}{s} + frac{s}{s^2+36}) ) |
| B. | ( frac{1}{4}( frac{1}{s} + frac{s}{s^2+36}) ) |
| C. | ( frac{1}{5}( frac{1}{s} + frac{s}{s^2+36}) ) |
| D. | ( frac{1}{8}( frac{1}{s} + frac{s}{s^2+36}) ) |
| Answer» B. ( frac{1}{4}( frac{1}{s} + frac{s}{s^2+36}) ) | |
| 10. |
The Laplace transform of the function (t2 + 4t + 2)e3t is ___________ |
| A. | ( frac{2}{(s-3)} + frac{4}{(s-3)^2} + frac{2}{s-3} ) |
| B. | ( frac{2}{(s-3)^3} + frac{4}{(s-3)^2} + frac{2}{s-3} ) |
| C. | ( frac{2}{(s-3)^3} frac{4}{(s-3)^2} + frac{2}{s-3} ) |
| D. | ( frac{2}{(s-3)^3} frac{4}{(s-3)^2} frac{2}{s-3} ) |
| Answer» C. ( frac{2}{(s-3)^3} frac{4}{(s-3)^2} + frac{2}{s-3} ) | |
| 11. |
The Laplace transform of the function 10 + 5t + t2 4t3 is ___________ |
| A. | ( frac{10}{s} + frac{5}{s^2} + frac{2}{s^3} frac{24}{s^4} ) |
| B. | ( frac{10}{s} frac{5}{s^2} + frac{2}{s^3} frac{24}{s^4} ) |
| C. | ( frac{10}{s} frac{5}{s^2} frac{2}{s^3} frac{24}{s^4} ) |
| D. | ( frac{10}{s} + frac{5}{s^2} + frac{2}{s^3} + frac{24}{s^4} ) |
| Answer» B. ( frac{10}{s} frac{5}{s^2} + frac{2}{s^3} frac{24}{s^4} ) | |
| 12. |
Given F(s) = ( frac{3s+5}{s^2+7} ). The value of L-1{F(s)} is _______________ |
| A. | (3 ,cos ( sqrt{7} t) + frac{5}{ sqrt{7}} ,sin ( sqrt{7} ,t) ) |
| B. | (3 ,cos ( sqrt{7} t)- frac{5}{ sqrt{7}} sin ( sqrt{7} ,t) ) |
| C. | (3 ,cos ( sqrt{7} t) ) |
| D. | ( frac{5}{ sqrt{7}} ,sin ( sqrt{7} t) ) |
| Answer» B. (3 ,cos ( sqrt{7} t)- frac{5}{ sqrt{7}} sin ( sqrt{7} ,t) ) | |
| 13. |
The Laplace transform of the function cos(2t) + 7sin(2t) is ____________ |
| A. | ( frac{s-14}{s^2-4} ) |
| B. | ( frac{s+14}{s^2-4} ) |
| C. | ( frac{s-14}{s^2+4} ) |
| D. | ( frac{s+14}{s^2+4} ) |
| Answer» E. | |
| 14. |
The Laplace transform of the function e4t + 5 is ___________ |
| A. | ( frac{1}{s+4} + frac{5}{s} ) |
| B. | ( frac{1}{s-4} + frac{5}{s} ) |
| C. | ( frac{1}{s-4} frac{5}{s} ) |
| D. | ( frac{1}{s+4} frac{5}{s} ) |
| Answer» C. ( frac{1}{s-4} frac{5}{s} ) | |