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 system y[n] = \(∑_{k=-∞}^n x[k]\) is an example of ____________ |
| A. | Invertible system |
| B. | Memoryless system |
| C. | Non-invertible system |
| D. | Averaging system |
| Answer» B. Memoryless system | |
| 2. |
If the response of LTI continuous time system to unit step input is (\(\frac{1}{2} – \frac{1}{2} e^{-2t}\)), the impulse response of the system is _______________ |
| A. | (\(\frac{1}{2} – \frac{1}{2} e^{-2t}\)) |
| B. | e-2t |
| C. | (1-e-2t) |
| D. | Constant |
| Answer» C. (1-e-2t) | |
| 3. |
The system y(t) = \(\frac{d x(t)}{dt}\) is ______________ |
| A. | Invertible with input x(t) and output y(t) |
| B. | Invertible with input x(t) |
| C. | Invertible with output y(t) |
| D. | Not invertible |
| Answer» E. | |
| 4. |
The system y(t) = \(\frac{d x^2 (t)}{dt}\) is ___________ |
| A. | Stable with input x(t) |
| B. | Stable with output y(t) |
| C. | Stable with both input x(t) as well as output y(t) |
| D. | Not stable |
| Answer» B. Stable with output y(t) | |
| 5. |
The system y(t) = x(2t) is ______________ |
| A. | Invertible with input x(t) and output y(t) |
| B. | Invertible with input x(t) |
| C. | Invertible with output y(t) |
| D. | Not invertible |
| Answer» B. Invertible with input x(t) | |
| 6. |
The system y(t) = 15ex(t) is ___________ |
| A. | Stable with input x(t) |
| B. | Stable with output y(t) |
| C. | Stable with both input x(t) as well as output y(t) |
| D. | Not stable |
| Answer» D. Not stable | |
| 7. |
The system y(t) = x2(t) is ______________ |
| A. | Invertible with input x(t) and output y(t) |
| B. | Invertible with input x(t) |
| C. | Invertible with output y(t) |
| D. | Not invertible |
| Answer» E. | |
| 8. |
Let a signal a1 sin (ω1 t + φ1) be applied to an astable LTI system. The corresponding output is a2 F sin (ω2 t + φ2). Then which of the following is correct? |
| A. | F is not necessarily a sine or cosine function but must be periodic with ω1=ω2 |
| B. | F must be a sine or cosine function with a1 = a2 |
| C. | F must be a sine function with ω1=ω2 and φ1 = φ2 |
| D. | F must be a sine or cosine function with ω1=ω2 |
| Answer» C. F must be a sine function with ω1=ω2 and φ1 = φ2 | |
| 9. |
Sinusoidal signal x (t) = 4cos (200t + \(\frac{π}{6}\)) is passed through a square law device defined by the input output relation y (t) = x2(t). The DC component in the signal is _____________ |
| A. | 3.46 |
| B. | 4 |
| C. | 2.83 |
| D. | 8 |
| Answer» E. | |
| 10. |
The system y(t) = x3(t) is ___________ |
| A. | Stable with input x(t) |
| B. | Stable with output y(t) |
| C. | Stable with both input x(t) as well as output y(t) |
| D. | Not stable |
| Answer» D. Not stable | |
| 11. |
The transfer function of an LTI system may be expressed as H (z) = \(\frac{K.(z-z_1)….(z-z_m)}{(z-P_1)….(z-P_2)}\) We consider the following statements:i) Poles of H(z) are called natural modesii) Poles of H (z) are called natural frequencies.The correct option is ________________ |
| A. | i-true, ii-false |
| B. | i-false, ii-true |
| C. | i-true, ii-true |
| D. | i-false, ii-false |
| Answer» D. i-false, ii-false | |
| 12. |
For a series RLC circuit excited by an impulse voltage of magnitude 1 and having R = 4Ω, L = 1H, C = \(\frac{1}{3}\) F, the value of the current I(t) is ___________ |
| A. | \(\frac{3}{2} e^{3t} – \frac{1}{2} e^{-t}\) |
| B. | \(\frac{3}{2} e^{3t} – \frac{1}{2} e^t\) |
| C. | \(\frac{3}{2} e^{-3t} – \frac{1}{2} e^{-t}\) |
| D. | \(\frac{3}{2} e^{-3t} – \frac{1}{2} e^t\) |
| Answer» D. \(\frac{3}{2} e^{-3t} – \frac{1}{2} e^t\) | |
| 13. |
For the signal given below, the region of convergence is ____________ |
| A. | ω1 < ω < ω2 in s-plane |
| B. | Entire s-plane |
| C. | Imaginary axis |
| D. | Entire s-plane except imaginary axis |
| Answer» C. Imaginary axis | |
| 14. |
Given a Fourier transform pair x(t) ↔ X(jω) = \(\frac{2 sinω}{ω}\), where, x(t) = 1 for |t|<1 and 0, otherwise. Then the Fourier transform of y(t) having the shape of a triangular waveform from t=-2 to t=2 and maximum peak value=2 is ___________ |
| A. | \(\frac{4 sin^2 ω}{ω^2}\) |
| B. | \(\frac{2 sin^2 ω}{πω^2}\) |
| C. | \(\frac{8π sin^2 ω}{ω^2}\) |
| D. | \(\frac{8 sin^2 ω}{ω^2}\) |
| Answer» B. \(\frac{2 sin^2 ω}{πω^2}\) | |