MCQOPTIONS
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MCQOPTIONS
This section includes 15 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. |
DEFINE_THE_FUNDAMENTAL_PERIOD_OF_THE_FOLLOWING_SIGNAL_X[N]_=_EXP(2PI*J*N/3)_+_EXP(3*PI*J*N/4)??$ |
| A. | 8 |
| B. | 12 |
| C. | 18 |
| D. | 24 |
| Answer» E. | |
| 2. |
The most general form of complex exponential function is:$ |
| A. | e<sup>σt</sup> |
| B. | e<sup>Ωt</sup> |
| C. | e<sup>st</sup> |
| D. | e<sup>at</sup> |
| Answer» D. e<sup>at</sup> | |
| 3. |
exp[jwn]_is_periodic$ |
| A. | for any w |
| B. | for any t |
| C. | for w=2pi*M/n |
| D. | for t = 1/w |
| Answer» D. for t = 1/w | |
| 4. |
Determine the nature of the signal: x(t) = e-0.2t [cosΩt + jsinΩt].$ |
| A. | Exponentially decaying sinusoidal signal |
| B. | Exponentially growing sinusoidal signal |
| C. | Sinusoidal signal |
| D. | Exponential signal |
| Answer» B. Exponentially growing sinusoidal signal | |
| 5. |
An exponentially growing sinusoidal signal is: |
| A. | σ = 0 and Ω = 0 |
| B. | σ > 0 and Ω ≠ 0 |
| C. | σ < 0 and Ω ≠ 0 |
| D. | σ = 0 and Ω ≠ 0 |
| Answer» C. ‚âà√¨‚àö√¢ < 0 and ‚âà√≠¬¨¬© ‚Äö√Ñ√∂‚àö¬¢‚Äö√тĆ 0 | |
| 6. |
When is a complex exponential signal sinusoidal? |
| A. | σ =0 and Ω = 0 |
| B. | σ < 0 and Ω = 0 |
| C. | σ = 0 and Ω ≠ 0 |
| D. | σ ≠ 0 and Ω ≠ 0 |
| Answer» D. ‚âà√¨‚àö√¢ ‚Äö√Ñ√∂‚àö¬¢‚Äö√тĆ 0 and ‚âà√≠¬¨¬© ‚Äö√Ñ√∂‚àö¬¢‚Äö√тĆ 0 | |
| 7. |
A_complex_exponential_signal_is_a_decaying_exponential_signal_when |
| A. | Ω = 0 and σ > 0 |
| B. | Ω = 0 and σ = 0 |
| C. | Ω ≠ 0 and σ < 0 |
| D. | Ω = 0 and σ < 0 |
| Answer» E. | |
| 8. |
exp(jwt) is periodi? |
| A. | for any w |
| B. | for any t |
| C. | for no w |
| D. | for no t |
| Answer» B. for any t | |
| 9. |
What is the period of exp(2+pi*j/4)t? |
| A. | 4 |
| B. | 8 |
| C. | 16 |
| D. | 20 |
| Answer» C. 16 | |
| 10. |
What is the power possessed by a signal exp(jwt)? |
| A. | 1 |
| B. | 0.5 |
| C. | <sup>1</sup>‚ÅÑ<sub>w</sub> |
| D. | w |
| Answer» B. 0.5 | |
| 11. |
Sinusoidal signals multiplied by decaying exponentials are referred to as |
| A. | Amplified sinusoids |
| B. | Neutralized sinusoids |
| C. | Buffered sinusoids |
| D. | Damped sinusoids |
| Answer» E. | |
| 12. |
Total energy possessed by a signal exp(jwt) is? |
| A. | 2pi/w |
| B. | pi/w |
| C. | pi/2w |
| D. | 2pi/3w |
| Answer» B. pi/w | |
| 13. |
What is the fundamental frequency of exp(2pi*w*j)? |
| A. | 1pi*w |
| B. | 2pi*w |
| C. | w |
| D. | 2w |
| Answer» D. 2w | |
| 14. |
What is the magnitude of exp(2+3j)? |
| A. | exp(2.3) |
| B. | exp(3) |
| C. | exp(2) |
| D. | exp(3/2) |
| Answer» D. exp(3/2) | |
| 15. |
What is exp(ja) equal to, where j is the square root of unity? |
| A. | cos ja + jsin a |
| B. | sin a + jcos a |
| C. | cos j + a sin j |
| D. | cos a + jsin a |
| Answer» E. | |