MCQOPTIONS
Saved Bookmarks
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. |
U(t) = 0, 0 t<7;
|
| A. | nThe Laplace transform of U (t) is ___________ |
| B. | ( frac{6e^{-7s}}{s^4} ) |
| C. | ( frac{e^{-7s}}{s^4} ) |
| D. | ( frac{6e^{-7s}}{s^3} ) |
| E. | ( frac{3e^{-7s}}{s^3} ) |
| Answer» B. ( frac{6e^{-7s}}{s^4} ) | |
| 2. |
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}) ) | |
| 3. |
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} ) | |
| 4. |
The discrete time Fourier coefficient of cos2( ( frac{ }{8} ) n) is ______________ |
| A. | ( frac{ }{2} )( (k+1] + 2 [k] + [k-1]) |
| B. | ( frac{1}{4} )j( (k+1] + 2 [k] + [k-1]) |
| C. | ( frac{1}{4} )( (k+1] + 2 [k] + [k-1]) |
| D. | ( frac{ }{4} )( (k+1] + 2 [k] + [k-1]) |
| Answer» D. ( frac{ }{4} )( (k+1] + 2 [k] + [k-1]) | |
| 5. |
The discrete time Fourier coefficients of ( _{m=- }^ [n-4m] ) is ____________ |
| A. | ( frac{1}{4} ) for all k |
| B. | ( frac{1}{4} ) for all k |
| C. | ( frac{1}{2} ) for all k |
| D. | ( frac{1}{2} ) for all k |
| Answer» C. ( frac{1}{2} ) for all k | |
| 6. |
The Fourier series coefficient of the signal y(t) = x(4t-1) is ______________ |
| A. | ( frac{8 }{T} X[k] ) |
| B. | ( frac{4 }{T}X[k] ) |
| C. | (e^{-jk frac{8 }{T}} X[k] ) |
| D. | (e^{jk frac{8 }{T}} X[k] ) |
| Answer» D. (e^{jk frac{8 }{T}} X[k] ) | |
| 7. |
The Fourier series coefficient of the signal y(t) = ( frac{d^2 x(t)}{dt^2} ) is _____________ |
| A. | (( frac{2 k}{T})^2 X[k] ) |
| B. | (( frac{2 k}{T})^2 X[k] ) |
| C. | j (( frac{2 k}{T})^2 X[k] ) |
| D. | -j (( frac{2 k}{T})^2 X[k] ) |
| Answer» C. j (( frac{2 k}{T})^2 X[k] ) | |
| 8. |
The Fourier series coefficient of the signal y(t) = Re{x(t)} is ____________ |
| A. | ( frac{X[k]+X[-k]}{2} ) |
| B. | ( frac{X[k]-X[-k]}{2} ) |
| C. | ( frac{X[k]+X^* [-k]}{2} ) |
| D. | ( frac{X[k]-X^* [-k]}{2} ) |
| Answer» D. ( frac{X[k]-X^* [-k]}{2} ) | |
| 9. |
The Fourier series coefficient of the signal y(t) = Even{x(t)} is ___________ |
| A. | ( frac{X[k]+X[-k]}{2} ) |
| B. | ( frac{X[k]-X[-k]}{2} ) |
| C. | ( frac{X[k]+X^* [-k]}{2} ) |
| D. | ( frac{X[k]-X^* [-k]}{2} ) |
| Answer» B. ( frac{X[k]-X[-k]}{2} ) | |
| 10. |
The Fourier series coefficient of the signal y(t) = x(t-t0) + x(t+t0) is _____________ |
| A. | 2 cos ( ( frac{2 }{t} ) kt<sub>0</sub>) X[k] |
| B. | 2 sin ( ( frac{2 }{t} ) kt<sub>0</sub>) X[k] |
| C. | 2 cos ( ( frac{2 }{t} ) kt<sub>0</sub>) |
| D. | 2 sin ( ( frac{2 }{t} ) kt<sub>0</sub>) |
| Answer» B. 2 sin ( ( frac{2 }{t} ) kt<sub>0</sub>) X[k] | |
| 11. |
The Fourier series coefficient of time domain signal x (t) is X[k] = ((- frac{1}{3})^{|k|} ). The fundamental frequency of signal is =1. The signal is _____________ |
| A. | ( frac{4}{5 + 3 sin u2061} ) |
| B. | ( frac{5}{4 + 3 sin u2061t} ) |
| C. | ( frac{5}{4 + 3 cos u2061t} ) |
| D. | ( frac{4}{5 + 3 sin u2061t} ) |
| Answer» E. | |
| 12. |
The Fourier series coefficient for the periodic signal x(t) = sin2t is _____________ |
| A. | ( frac{1}{4} ) [k-1] + ( frac{1}{2} ) [k] ( frac{1}{4} ) [k+1] |
| B. | ( frac{1}{4} ) [k-2] + ( frac{1}{2} ) [k] ( frac{1}{4} ) [k+2] n |
| C. | ( frac{1}{2} ) [k-1] + [k] ( frac{1}{2} ) [k+1] |
| D. | ( frac{1}{2} ) [k-2] + [k] ( frac{1}{2} ) [k+2] |
| Answer» B. ( frac{1}{4} ) [k-2] + ( frac{1}{2} ) [k] ( frac{1}{4} ) [k+2] n | |
| 13. |
The Fourier series coefficient for the periodic rectangular pulses of height 2A is ____________ |
| A. | ( frac{2A}{jk } ,sin , u2061 frac{ }{2} k ) |
| B. | ( frac{2A}{jk } ,cos u2061 , frac{ }{2} k ) |
| C. | ( frac{2A}{k } ,sin u2061 , frac{ }{2} k ) |
| D. | ( frac{2A}{k } ,cos u2061 , frac{ }{2} k ) |
| Answer» D. ( frac{2A}{k } ,cos u2061 , frac{ }{2} k ) | |
| 14. |
The Fourier series coefficient for the signal 10 (t) is ___________ |
| A. | 1 |
| B. | Cos ( ( frac{ }{2} ) k) |
| C. | sin ( ( frac{ }{2} ) k) |
| D. | 2 |
| Answer» E. | |