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 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. |
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. \(\frac{1}{z-n}\) | |
| 10. |
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 \(e^{j \frac{2π}{8} k6}\) | |
| 11. |
S1 and S2 are two DT systems which are connected together to form a new system. Consider the following statements:i) If S1 and S2 are non-causal, then S is non-causalii) If S1 and/or S2 are unstable, then S is unstableThe correct statement from the above is ____________ |
| A. | Both i and ii |
| B. | Only i |
| C. | Only ii |
| D. | Neither i nor ii |
| Answer» E. | |
| 12. |
The following input-output pairs have been observed during the operation of a time invariant systemi) x1[n] = {1, 0, 2} (Laplace transform) y1 [n] = {0, 1,2}ii) x2[n] = {0,0, 3} (Laplace transform) y2[n] = {0,1,0,2}iii) x3[n] = {0,0,0,1} (Laplace transform) y3[n] = {1,2,1}The conclusion regarding the linearity of the system is _____________ |
| A. | Linear |
| B. | Non-linear |
| C. | One more observation is required |
| D. | Conclusion cannot be drawn from observation |
| Answer» C. One more observation is required | |
| 13. |
For two discrete time systems, consider the following statements:i) If S1 and S2 are linear and time invariant, then interchanging their order does not change the system.ii) If S1 and S2 are linear and time variant, then interchanging their order does not change the systemThe correct statement from the above is __________ |
| A. | Both i & ii |
| B. | Only i |
| C. | Only ii |
| D. | Neither i, nor ii |
| Answer» C. Only ii | |
| 14. |
Given that S1 and S2 are two discrete time systems. Consider the following statements:i) If S1 and S2 are linear, then S is linearii) If S1 and S2 are non-linear, then S is non-lineariii) If S1 and S2 are causal, then S is causaliv) If S1 and S2 are time invariant, then S is time invariantThe true statements from the above are ____________ |
| A. | i, ii, iii |
| B. | ii, iii, iv |
| C. | I, iii, iv |
| D. | I, ii, iii, iv |
| Answer» D. I, ii, iii, iv | |