MCQOPTIONS
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MCQOPTIONS
This section includes 12 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. |
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)]<sup>a</sup> |
| Answer» D. 6(at) = [6(t)]<sup>a</sup> | |
| 2. |
A periodic square wave is formed by rectangular pulses ranging from -1 to +1 and period = 2 units. The ratio of the power in the 7th harmonic to the power in the 5th harmonic for this waveform is equal to ____________ |
| A. | 1 |
| B. | 0.5 |
| C. | 2 |
| D. | 2.5 |
| Answer» C. 2 | |
| 3. |
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}} ) | |
| 4. |
For which of the following a Fourier series cannot be defined? |
| A. | 3 sin (25t) |
| B. | 4 cos (20t + 3) + 2 sin (710t) |
| C. | exp(-|t|) sin (25t) |
| D. | 1 |
| Answer» D. 1 | |
| 5. |
The Fourier series representation of an impulse train denoted by s(t) = ( _{n=- }^ (t-nT_0) ) is given by _____________ |
| A. | ( frac{1}{T_0} _{n=- }^ exp u2061(- frac{j2 nt}{T_0}) ) |
| B. | ( frac{1}{T_0} _{n=- }^ exp u2061(- frac{j nt}{T_0}) ) |
| C. | ( frac{1}{T_0} _{n=- }^ exp u2061( frac{j nt}{T_0}) ) |
| D. | ( frac{1}{T_0} _{n=- }^ exp u2061( frac{j2 nt}{T_0}) ) |
| Answer» C. ( frac{1}{T_0} _{n=- }^ exp u2061( frac{j nt}{T_0}) ) | |
| 6. |
A signal e-at sin ( t) 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 |
| B. | v need not be equal to but b must be equal to a |
| C. | b must be equal to a and v must be equal to |
| D. | b need not be equal to a and v need not be equal to |
| Answer» B. v need not be equal to but b must be equal to a | |
| 7. |
The Fourier series expansion of a real periodic signal with fundamental frequency f0 is given by gp (t) = ( _{n=- }^ C_n e^{j 2 nf_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. | |
| 8. |
The Fourier series coefficient of the signal z(t) = Re{x(t)} is ____________ |
| A. | ( frac{X[k]+X[-k]}{2} ) |
| B. | ( frac{X[k]-X[-k]}{2} ) |
| C. | ( frac{X[k]+X^* [-k]}{2} ) |
| D. | ( frac{X[k]-X^* [-k]}{2} ) |
| Answer» D. ( frac{X[k]-X^* [-k]}{2} ) | |
| 9. |
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. | |
| 10. |
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} ) | |
| 11. |
A voltage having the waveform of a sine curve is applied across a capacitor. When the frequency of the voltage is increased, what happens to the current through the capacitor? |
| A. | Increases |
| B. | Decreases |
| C. | Remains same |
| D. | Is zero |
| Answer» B. Decreases | |
| 12. |
A signal g (t) = 10 sin (12 t) 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 | |