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. |
Given a real valued function y (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, y(t) satisfies the equation ____________ |
| A. | y (t) = y (t+T) = -y (t+ ( frac{T}{2} )) |
| B. | y (t) = y (t+T) = y (t+ ( frac{T}{2} )) |
| C. | y (t) = y (t-T) = -y (t- ( frac{T}{2} )) |
| D. | y (t) = y (t-T) = y (t- ( frac{T}{2} )) |
| Answer» E. | |
| 2. |
In Maxwell s capacitance bridge for calculating unknown inductance, the various values at balance are, R1 = 300 , R2 = 700 , R3 = 1500 , C4 = 0.8 F. Calculate R1, L1 and Q factor, if the frequency is 1100 Hz. |
| A. | 240 , 0.12 H, 3.14 |
| B. | 140 , 0.168 H, 8.29 |
| C. | 140 , 0.12 H, 5.92 |
| D. | 240 , 0.36 H, 8.29 |
| Answer» C. 140 , 0.12 H, 5.92 | |
| 3. |
The type of systems which are characterized by input and the output capable of taking any value in a particular set of values are called as __________ |
| A. | Analog |
| B. | Discrete |
| C. | Digital |
| D. | Continuous |
| Answer» E. | |
| 4. |
The running integrator, given by y(t) = ( _{- }^ x(t) ,dt ) has ____________ |
| A. | No finite singularities in it s double sided Laplace transform Y(s) |
| B. | Produces an abounded output for every causal bounded input |
| C. | Produces a bounded output for every anti-causal bounded input |
| D. | Has no finite zeroes in it s double sided Laplace transform Y (s) |
| Answer» C. Produces a bounded output for every anti-causal bounded input | |
| 5. |
The continuous time system described by the equation y(t) = x(t2) comes under the category of ____________ |
| A. | Causal, linear and time varying |
| B. | Causal, non-linear and time varying |
| C. | Non-causal, non-linear and time invariant |
| D. | Non-causal, linear and time variant |
| Answer» E. | |
| 6. |
The Fourier series for the function f (x) = sin2x is ______________ |
| A. | 0.5 + 0.5 sin 2x |
| B. | 0.5 0.5 sin 2x |
| C. | 0.5 + 0.5 cos 2x |
| D. | 0.5 0.5 cos 2x |
| Answer» E. | |
| 7. |
Frequency and time period are ____________ |
| A. | Proportional to each other |
| B. | Inverse of each other |
| C. | Same |
| D. | equal |
| Answer» C. Same | |
| 8. |
X (ej ) = ( frac{(b-a) e^{j }}{e^{-j2 }-(a+b) e^{j } + ab)} ), |b|<1<|a|
|
| A. | b<sup>n</sup> u [n] + a<sup>n</sup> u [n-1] |
| B. | b<sup>n</sup> u [n] a<sup>n</sup> u [-n-1] |
| C. | b<sup>n</sup> u [n] + a<sup>n</sup> u [-n-1] |
| D. | b<sup>n</sup> u [n] a<sup>n</sup> u [n+1] |
| Answer» D. b<sup>n</sup> u [n] a<sup>n</sup> u [n+1] | |
| 9. |
The rms value of a rectangular wave of period T, having value +V for a duration, T1(<T) and V for the duration, T-T1 = T2 is __________ |
| A. | V |
| B. | ( sqrt{V} ) |
| C. | ( frac{ sqrt{V}}{2} ) |
| D. | 0 |
| Answer» B. ( sqrt{V} ) | |
| 10. |
A pulse of unit amplitude and width a, is applied to a series RL circuit having R = 1 , L = 1H. The current I(t) at t = is __________ |
| A. | 0 |
| B. | Infinite |
| C. | 2 A |
| D. | 1 A |
| Answer» B. Infinite | |
| 11. |
An LTI system with impulse response h1 [n] = -2( ( frac{1}{4})^n ) u[n] is connected in parallel with another causal LTI system with impulse response h2 [n]. The resulting interconnection has frequency response H (ej ) = ( frac{-12+5e^{-j }}{12+7e^{-j }+e^{-j2 }} ). Then h2[n] is ___________ |
| A. | ( ( frac{1}{3} ))<sup>n</sup> u[n-1] |
| B. | ( ( frac{1}{3} ))<sup>n</sup> u[n] |
| C. | ( ( frac{1}{4} ))<sup>n</sup> u[n] |
| D. | ( ( frac{1}{4} ))<sup>n</sup> u[n-1] |
| Answer» C. ( ( frac{1}{4} ))<sup>n</sup> u[n] | |
| 12. |
The system characterized by the differential equation ( frac{d^2 y(t)}{t^2} frac{dy}{dt} 2y(t) = x(t) ) is _____________ |
| A. | Linear and stable |
| B. | Linear and unstable |
| C. | Nonlinear and unstable |
| D. | Nonlinear and stable |
| Answer» C. Nonlinear and unstable | |
| 13. |
A signal x(t) has the Fourier transform X(j ) having the following facts:
|
| A. | nThe signal x (t) is ___________ |
| B. | ( sqrt{3} ) (e<sup>-t</sup> e<sup>-2t</sup>)u(t) |
| C. | ( sqrt{12} ) (e<sup>-t</sup> e<sup>-2t</sup>)u(t) |
| D. | ( sqrt{3} ) (e<sup>-2t</sup> e<sup>-t</sup>)u(t) |
| E. | ( sqrt{12} ) (e<sup>-2t</sup> e<sup>-t</sup>)u(t) |
| Answer» C. ( sqrt{12} ) (e<sup>-t</sup> e<sup>-2t</sup>)u(t) | |
| 14. |
The CTFT of a continuous time signal x(t) = e-A|t|, A>0 is _________ |
| A. | ( frac{2A}{ ^2} ) |
| B. | ( frac{A}{A^2+ ^2} ) |
| C. | ( frac{2A}{A^2+ ^2} ) |
| D. | ( frac{A}{ ^2} ) |
| Answer» D. ( frac{A}{ ^2} ) | |