MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems Questions and Answers 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-t cos t u(t) |
| B. | 0.5 e-t sin t u(t) |
| C. | 2e-t cos t u(t) + 0.5 e-t sin t u(t) |
| D. | 0.5 e-t cos t u(t-1) + 2e-t sin t u(t-1) |
| Answer» D. 0.5 e-t cos t u(t-1) + 2e-t sin t u(t-1) | |
| 2. |
The system under consideration is an RC low-pass filter with R = 1 kΩ and C = 1 µF. 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. | R1 + R2 |
| B. | R1 – R2 |
| C. | R1 ∩ R2 |
| D. | R1 ∪ R2 |
| Answer» D. R1 ∪ R2 | |
| 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. |
For the circuit given below, if the frequency of the source is 50 Hz, then a value of to which results in a transient free response is _________________ |
| A. | 0 |
| B. | 1.78 ms |
| C. | 7.23 ms |
| D. | 9.21 ms |
| Answer» C. 7.23 ms | |
| 6. |
Given a series RLC circuit with V = 5V, R = 200 kΩ, C = 10µF. Sampling frequency of the circuit is 10 Hz. The samples x (n), where n=0,1,2,…., is ___________ |
| A. | 5(1-e-0.05n) |
| B. | 5e-0.05n |
| C. | 5(1-e-5n) |
| D. | 5e-5n |
| Answer» C. 5(1-e-5n) | |
| 7. |
Given a series RLC circuit with V = 5V, R = 200 kΩ, C = 10µF. 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-5 |
| B. | \(\frac{5z}{z-e^{-0.05′}}\), |z|<e-0.05 |
| C. | \(\frac{5z}{z-e^{-0.05′}}\), |z|>e-0.05 |
| D. | \(\frac{5z}{z-e^{-5′}}\), |z|>e-5 |
| Answer» D. \(\frac{5z}{z-e^{-5′}}\), |z|>e-5 | |
| 8. |
The period of the signal x(t) = 10 sin 12 π t + 4 cos18 π t is ____________ |
| A. | \(\frac{π}{4}\) |
| B. | \(\frac{1}{6}\) |
| C. | \(\frac{1}{9}\) |
| D. | \(\frac{1}{3}\) |
| Answer» E. | |
| 9. |
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 1Ω. The current delivered by the battery is ____________ |
| A. | 6 A |
| B. | 5 A |
| C. | 7 A |
| D. | 8 A |
| Answer» C. 7 A | |
| 10. |
The Z transform of δ (n − m) is ___________ |
| A. | z-n |
| B. | z-m |
| C. | \(\frac{1}{z-n}\) |
| D. | \(\frac{1}{z-m}\) |
| Answer» C. \(\frac{1}{z-n}\) | |
| 11. |
Given a signal x[n] = δ[n] + 0.9 δ [n − 6]. The Discrete Time Fourier Transform for 8 points is __________ |
| A. | 1 – 0.9 \(e^{-j \frac{2π}{8} k6}\) |
| B. | 1 + 0.9 \(e^{-j \frac{2π}{8} k6}\) |
| C. | 1 + 0.9 \(e^{j \frac{2π}{8} k6}\) |
| D. | 1 – 0.9 \(e^{j \frac{2π}{8} k6}\) |
| Answer» C. 1 + 0.9 \(e^{j \frac{2π}{8} k6}\) | |