MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 9 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. |
A useful property of the unit impulse 6 (t) is ________________ |
| A. | 6 (at) = a 6 (t) |
| B. | 6 (at) = 6 (t) |
| C. | 6 (at) = \(\frac{1}{a}\) 6(t) |
| D. | 6(at) = [6(t)]a |
| Answer» D. 6(at) = [6(t)]a | |
| 2. |
The RMS value of a rectangular wave of period T, having a value of +V for a duration T1 (< T) and −V for the duration T − T1 = T2, equals _____________ |
| A. | V |
| B. | \(\frac{V}{\sqrt{2}}\) |
| C. | \(\frac{T_1-T_2}{T}\) V |
| D. | \(\frac{T_1}{T_2}\) V |
| Answer» B. \(\frac{V}{\sqrt{2}}\) | |
| 3. |
The Fourier series representation of an impulse train denoted by s(t) = \(∑_{n=-∞}^∞ δ(t-nT_0)\) is given by _____________ |
| A. | \(\frac{1}{T_0} ∑_{n=-∞}^∞ exp(-\frac{j2πnt}{T_0}) \) |
| B. | \(\frac{1}{T_0} ∑_{n=-∞}^∞ exp(-\frac{jπnt}{T_0})\) |
| C. | \(\frac{1}{T_0} ∑_{n=-∞}^∞ exp(\frac{jπnt}{T_0}) \) |
| D. | \(\frac{1}{T_0} ∑_{n=-∞}^∞ exp(\frac{j2πnt}{T_0}) \) |
| Answer» C. \(\frac{1}{T_0} ∑_{n=-∞}^∞ exp(\frac{jπnt}{T_0}) \) | |
| 4. |
A signal e-at sin (ωt) is the input to a real linear time invariant system. Given K and ∅ are constants, the output of the system will be of the form Ke-bt sin (vt + ∅). The correct statement among the following is __________ |
| A. | b need not be equal to a but v must be equal to ω |
| B. | v need not be equal to ω but b must be equal to a |
| C. | b must be equal to a and v must be equal to ω |
| D. | b need not be equal to a and v need not be equal to ω |
| Answer» B. v need not be equal to ω but b must be equal to a | |
| 5. |
The Fourier series expansion of a real periodic signal with fundamental frequency f0 is given by gp (t) = \(∑_{n=-∞}^∞ C_n e^{j 2πnf_0 t}\). Given that C3 = 3 + j5. The value of C-3 is ______________ |
| A. | 5 + 3j |
| B. | -5 + 3j |
| C. | -3 – j5 |
| D. | 3 – j5 |
| Answer» E. | |
| 6. |
A periodic rectangular signal X (t) has the waveform as shown below. The frequency of the fifth harmonic of its spectrum is ______________ |
| A. | 40 Hz |
| B. | 200 Hz |
| C. | 250 Hz |
| D. | 1250 Hz |
| Answer» E. | |
| 7. |
What is the steady state value of F (t), if it is known that F(s) = \(\frac{10}{(s+1)(s^2+1)}\)? |
| A. | -5 |
| B. | 5 |
| C. | 10 |
| D. | Cannot be determined |
| Answer» E. | |
| 8. |
What is the steady state value of F (t), if it is known that \(F(s) = \frac{2}{s(S+1)(s+2)(s+3)}\)? |
| A. | \(\frac{1}{2}\) |
| B. | \(\frac{1}{3}\) |
| C. | \(\frac{1}{4}\) |
| D. | Cannot be determined |
| Answer» C. \(\frac{1}{4}\) | |
| 9. |
A signal g (t) = 10 sin (12πt) is ___________ |
| A. | A periodic signal with period 6 s |
| B. | A periodic signal with period \(\frac{10}{6}\) s |
| C. | A periodic signal with period \(\frac{1}{6}\) s |
| D. | An aperiodic signal |
| Answer» D. An aperiodic signal | |