MCQOPTIONS
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MCQOPTIONS
This section includes 10 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 response of the LTI system for ( frac{d^2 y(t)}{dt^2} + frac{dy(t)}{dt} + 5y(t) = frac{dx(t)}{dt} ). Given that y(0 ) = 2, ( frac{dx(t)}{dt} ) (at t=0) = 0, x(t) = u(t) is __________ |
| A. | 2e<sup>-t</sup> cos t u(t) |
| B. | 0.5 e<sup>-t</sup> sin t u(t) |
| C. | 2e<sup>-t</sup> cos t u(t) + 0.5 e<sup>-t</sup> sin t u(t) |
| D. | 0.5 e<sup>-t</sup> cos t u(t-1) + 2e<sup>-t</sup> sin t u(t-1) |
| Answer» D. 0.5 e<sup>-t</sup> cos t u(t-1) + 2e<sup>-t</sup> sin t u(t-1) | |
| 2. |
The system under consideration is an RC low-pass filter with R = 1 k and C = 1 F. Let H (f) denotes the frequency response of the RC, low-pass filter. Let f1 be the highest frequency, such that 0 |f| f1, ( frac{|H(f1)|}{H(0)} ) 0.95 Then f1 is ___________ |
| A. | 327.8 |
| B. | 163.9 |
| C. | 52.2 |
| D. | 104.4 |
| Answer» D. 104.4 | |
| 3. |
If R1 is the region of convergence of x (n) and R2 is the region of convergence of y(n), then the region of convergence of x (n) convoluted y (n) is ___________ |
| A. | R<sub>1</sub> + R<sub>2</sub> |
| B. | R<sub>1</sub> R<sub>2</sub> |
| C. | R<sub>1</sub> R<sub>2</sub> |
| D. | R<sub>1</sub> R<sub>2</sub> |
| Answer» D. R<sub>1</sub> R<sub>2</sub> | |
| 4. |
If G(f) represents the Fourier Transform of a signal g (t) which is real and odd symmetric in time, then G (f) is ____________ |
| A. | Complex |
| B. | Imaginary |
| C. | Real |
| D. | Real and non- negative |
| Answer» C. Real | |
| 5. |
Given a series RLC circuit with V = 5V, R = 200 k , C = 10 F. Sampling frequency of the circuit is 10 Hz. The samples x (n), where n=0,1,2, ., is ___________ |
| A. | 5(1-e<sup>-0.05n</sup>) |
| B. | 5e<sup>-0.05n</sup> |
| C. | 5(1-e<sup>-5n</sup>) |
| D. | 5e<sup>-5n</sup> |
| Answer» C. 5(1-e<sup>-5n</sup>) | |
| 6. |
Given a series RLC circuit with V = 5V, R = 200 k , C = 10 F. Sampling frequency of the circuit is 10 Hz. The expression and the ROC of the z-transform of the sampled signal are ____________ |
| A. | ( frac{5z}{z-e^{-5 }} ), |z|<e<sup>-5</sup> |
| B. | ( frac{5z}{z-e^{-0.05 }} ), |z|<e<sup>-0.05</sup> |
| C. | ( frac{5z}{z-e^{-0.05 }} ), |z|>e<sup>-0.05</sup> |
| D. | ( frac{5z}{z-e^{-5 }} ), |z|>e<sup>-5</sup> |
| Answer» D. ( frac{5z}{z-e^{-5 }} ), |z|>e<sup>-5</sup> | |
| 7. |
The period of the signal x(t) = 10 sin 12 t + 4 cos18 t is ____________ |
| A. | ( frac{ }{4} ) |
| B. | ( frac{1}{6} ) |
| C. | ( frac{1}{9} ) |
| D. | ( frac{1}{3} ) |
| Answer» E. | |
| 8. |
A 10 V is connected across a load whose V-I characteristics is given by 7I = V2 + 2V. The internal resistance of the battery is of magnitude 1 . The current delivered by the battery is ____________ |
| A. | 6 A |
| B. | 5 A |
| C. | 7 A |
| D. | 8 A |
| Answer» C. 7 A | |
| 9. |
The Z transform of (n m) is ___________ |
| A. | z<sup>-n</sup> |
| B. | z<sup>-m</sup> |
| C. | ( frac{1}{z-n} ) |
| D. | ( frac{1}{z-m} ) |
| Answer» C. ( frac{1}{z-n} ) | |
| 10. |
Given a signal x[n] = [n] + 0.9 [n 6]. The Discrete Time Fourier Transform for 8 points is __________ |
| A. | 1 0.9 (e^{-j frac{2 }{8} k6} ) |
| B. | 1 + 0.9 (e^{-j frac{2 }{8} k6} ) |
| C. | 1 + 0.9 (e^{j frac{2 }{8} k6} ) |
| D. | 1 0.9 (e^{j frac{2 }{8} k6} ) |
| Answer» C. 1 + 0.9 (e^{j frac{2 }{8} k6} ) | |