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. |
The Laplace transform of the function cosh2(t) is ____________ |
| A. | ( frac{s^2+2}{s(s^2+4)} ) |
| B. | ( frac{s^2-2}{s(s^2-4)} ) |
| C. | ( frac{s^2-2}{s(s^2+4)} ) |
| D. | ( frac{s^2+2}{s(s^2-4)} ) |
| Answer» C. ( frac{s^2-2}{s(s^2+4)} ) | |
| 2. |
A linear phase channel with phase delay Tp and group delay Tg must have ____________ |
| A. | T<sub>p</sub> = T<sub>g</sub> = constant |
| B. | T<sub>p</sub> f and T<sub>g</sub> f |
| C. | T<sub>p</sub> = constant and T<sub>g</sub> f |
| D. | T<sub>p</sub> f and T<sub>g</sub> = constant |
| Answer» B. T<sub>p</sub> f and T<sub>g</sub> f | |
| 3. |
The convolution of two continuous time signals x(t) = e-t u(t) and h(t) = e-2t u(t) is ________________ |
| A. | (e<sup>t</sup> e<sup>2t</sup>) u (t) |
| B. | (e<sup>-2t</sup> e<sup>-t</sup>) u (t) |
| C. | (e<sup>-t</sup> e<sup>-2t</sup>) u (t) |
| D. | (e<sup>-t</sup> + e<sup>-2t</sup>) u (t) |
| Answer» D. (e<sup>-t</sup> + e<sup>-2t</sup>) u (t) | |
| 4. |
The impulse response of a continuous time system is given by h(t) = (t-1) + (t-3). The value of the step response at t=2 is _______________ |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 5. |
A signal x (t) has its FT as X (f). The inverse FT of X(3f +2) is _____________ |
| A. | ( frac{1}{2} x( frac{t}{2})e^{j3 t} ) |
| B. | ( frac{1}{3} x( frac{t}{3})e^{-j4 t/3} ) |
| C. | 3x(3t)e<sup>-j4 t</sup> |
| D. | x(3t + 2) |
| Answer» C. 3x(3t)e<sup>-j4 t</sup> | |
| 6. |
If the FT of x(t) is ( frac{2}{ } ) sin ( ), then the FT of ej5t x(t) is ____________ |
| A. | ( frac{2}{ -5} ) sin u2061( ) |
| B. | ( frac{2}{ +5} ) sin u2061{ ( -5)} |
| C. | ( frac{2}{ +5} ) sin u2061( ) |
| D. | ( frac{2}{ -5} ) sin u2061{ ( -5)} |
| Answer» E. | |
| 7. |
A waveform is given by v(t) = 10 sin2 100 t. The magnitude of the second harmonic in its Fourier series representation is ____________ |
| A. | 0 V |
| B. | 20 V |
| C. | 100 V |
| D. | 200 V |
| Answer» B. 20 V | |
| 8. |
The lengths of two discrete time sequence x1[n] and x2[n] are 5 and 7 respectively. The maximum length of a sequence x1[n] * x2[n] is ____________ |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 11 |
| Answer» E. | |
| 9. |
Given a periodic rectangular waveform of frequency 1 kHz, symmetrical about t=0 and having a pulse width of 500 s and amplitude 5 V. The Fourier series is ___________ |
| A. | 2.5 + 3.18 cos (2 10<sup>3</sup> t) 1.06 cos (6 10<sup>3</sup> t) |
| B. | 2.5 3.18 cos (2 10<sup>3</sup> t) 1.06 cos (6 10<sup>3</sup> t) |
| C. | 2.5 + 3.18 cos (2 10<sup>3</sup> t) + 1.06 cos (6 10<sup>3</sup> t) |
| D. | 2.5 3.18 cos (2 10<sup>3</sup> t) + 1.06 cos (6 10<sup>3</sup> t) |
| Answer» B. 2.5 3.18 cos (2 10<sup>3</sup> t) 1.06 cos (6 10<sup>3</sup> t) | |
| 10. |
Given a real valued function x (t) with period T. Its trigonometric Fourier series expansion contains no term of frequency = 2 ( frac{(2k)}{T} ); where, k = 1, 2 .. Also no terms are present. Then, x(t) satisfies the equation ____________ |
| A. | x (t) = x (t+T) = -x (t + ( frac{T}{2} )) |
| B. | x (t) = x (t+T) = x (t + ( frac{T}{2} )) |
| C. | x (t) = x (t-T) = -x (t ( frac{T}{2} )) |
| D. | x (t) = x (t-T) = x (t ( frac{T}{2} )) |
| Answer» E. | |
| 11. |
The unit impulse response of the system c (t) = -4e-t + 6e-2t for t>0. The step response of the same system for t 0 is _______________ |
| A. | -3e<sup>-2t</sup> 4e<sup>-t</sup> + 1 |
| B. | -3e<sup>-2t</sup> + 4e<sup>-t</sup> 1 |
| C. | -3e<sup>-2t</sup> 4e<sup>-t</sup> 1 |
| D. | 3e<sup>-2t</sup> + 4e<sup>-t</sup> 1 |
| Answer» C. -3e<sup>-2t</sup> 4e<sup>-t</sup> 1 | |
| 12. |
The Fourier series coefficient of time domain signal x (t) is X[k] = j [k-1] j [k+1] + [k+3] + [k-3], the fundamental frequency of the signal is =2 . The signal is ___________ |
| A. | 2(cos 3 t sin t) |
| B. | -2(cos 3 t sin t) |
| C. | 2(cos 6 t sin 2 t) |
| D. | -2(cos 6 t sin 2 t) |
| Answer» D. -2(cos 6 t sin 2 t) | |
| 13. |
The Fourier transform of sin(2 t) e-t u (t) is ____________ |
| A. | ( frac{1}{2j} left( frac{1}{1+j( -2 )} + frac{1}{1+j( +2 )} right) ) |
| B. | ( frac{1}{2j} left( frac{1}{1+j( -2 )} frac{1}{1+j( +2 )} right) ) |
| C. | ( frac{1}{2j} left( frac{1}{1+j( +2 )} frac{1}{1+j( -2 )} right) ) |
| D. | ( frac{1}{j} left( frac{1}{1+j( +2 )} frac{1}{1+j( -2 )} right) ) |
| Answer» C. ( frac{1}{2j} left( frac{1}{1+j( +2 )} frac{1}{1+j( -2 )} right) ) | |