MCQOPTIONS
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MCQOPTIONS
This section includes 19 Mcqs, each offering curated multiple-choice questions to sharpen your Matlab knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the Laplace transform of [1 +sin 2t cos 2t]u(t). |
| A. | \(\frac{s^2+2s+16}{s(s^2-4^2)}\) |
| B. | \(\frac{s^2+2s+16}{s(s^2+4^2)}\) |
| C. | \(\frac{s^2+2s+16}{(s^2+4^2)}\) |
| D. | \(\frac{s^2+2s+16}{s}\) |
| Answer» C. \(\frac{s^2+2s+16}{(s^2+4^2)}\) | |
| 2. |
Find the Laplace transform of (cos2t)3 u(t). |
| A. | \(\frac{s(s^2+28)}{(s^2+36)(s^2+4)}\) |
| B. | \(\frac{s(s^2+36)}{(s^2+28)(s^2+4)}\) |
| C. | \(\frac{s(s^2+4)}{(s^2+36)(s^2+28)}\) |
| D. | \(\frac{s}{(s^2+36)(s^2+4)}\) |
| Answer» B. \(\frac{s(s^2+36)}{(s^2+28)(s^2+4)}\) | |
| 3. |
Find the Laplace transform of the signal x(t)=te-2|t|. |
| A. | \(-\frac{1}{(s-2)^2} + \frac{1}{(s+2)^2}\) |
| B. | \(\frac{1}{(s-2)^2} + \frac{1}{(s+2)^2}\) |
| C. | \(\frac{1}{(s-2)^2} – \frac{1}{(s+2)^2}\) |
| D. | \(-\frac{1}{(s-2)^2} – \frac{1}{(s+2)^2}\) |
| Answer» B. \(\frac{1}{(s-2)^2} + \frac{1}{(s+2)^2}\) | |
| 4. |
Find the Laplace transform of the signal x(t)=et sin2t for t≤0. |
| A. | \(\frac{2}{(s-1)^2+2^2}\) |
| B. | \(-\frac{2}{(s-1)^2+2^2}\) |
| C. | \(\frac{2}{(s+1)^2+2^2}\) |
| D. | \(-\frac{2}{(s+1)^2+2^2}\) |
| Answer» C. \(\frac{2}{(s+1)^2+2^2}\) | |
| 5. |
Find the Laplace transform of e-at sinωt u(t).a) \(\frac{s+a}{(s+a)^2-ω^2}\) b) \(\frac{ω}{(s+a)^2-ω^2}\) c) \(\frac{s+a}{(s+a)^2+ω^2}\) d) \(\frac{ω}{(s+ |
| A. | \(\frac{s+a}{(s+a)^2-ω^2}\) |
| B. | \(\frac{ω}{(s+a)^2-ω^2}\) |
| C. | \(\frac{s+a}{(s+a)^2+ω^2}\) |
| D. | \(\frac{ω}{(s+a)^2+ω^2}\) |
| Answer» E. | |
| 6. |
Find the Laplace transform of cosωt u(t). |
| A. | \(\frac{s}{s^2+ω^2}\) |
| B. | \(\frac{s}{s^2-ω^2}\) |
| C. | \(\frac{ω}{s^2+ω^2}\) |
| D. | \(\frac{ω}{s^2-ω^2}\) |
| Answer» B. \(\frac{s}{s^2-ω^2}\) | |
| 7. |
Find the ROC of x(t) = e-2t u(t) + e-3t u(t). |
| A. | σ>2 |
| B. | σ>3 |
| C. | σ>-3 |
| D. | σ>-2 |
| Answer» E. | |
| 8. |
Find the Laplace transform of u(t) and its ROC. |
| A. | \(\frac{1}{s}\), σ<0 |
| B. | \(\frac{1}{s}\), σ>0 |
| C. | \(\frac{1}{s-1}\), σ=0 |
| D. | \(\frac{1}{1-s}\), σ≤0 |
| Answer» C. \(\frac{1}{s-1}\), σ=0 | |
| 9. |
Find the Laplace transform of δ(t). |
| A. | 1 |
| B. | 0 |
| C. | ∞ |
| D. | 2 |
| Answer» B. 0 | |
| 10. |
Find the Laplace transform of e-at u(t) and its ROC. |
| A. | \(\frac{1}{s-a}\), Re{s}>-a |
| B. | \(\frac{1}{s}\), Re{s}>a |
| C. | \(\frac{1}{s×a}\), Re{s}>a |
| D. | \(\frac{1}{s+a}\), Re{s}>-a |
| Answer» E. | |
| 11. |
The necessary condition for convergence of the Laplace transform is the absolute integrability of f(t)e-σt. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 12. |
The_final_value_theorem_is_applicable_if___________$ |
| A. | Poles lie on right half of s plane |
| B. | Poles lie on left half of s plane |
| C. | Poles lie on the imaginary axis |
| D. | Zeros lie on left half of s plane |
| Answer» D. Zeros lie on left half of s plane | |
| 13. |
Returns the transfer function as partial fractions |
| A. | Returns the transfer function variable |
| B. | Returns an error |
| C. | Cannot be determined |
| Answer» B. Returns an error | |
| 14. |
If f(t)=f1(t)+f2(t), the laplace transform of f(t) exists if f1(t) and f2(t) does not have the same R.O.C. |
| A. | True |
| B. | False |
| Answer» C. | |
| 15. |
A gamma function |
| A. | Error due to [] |
| B. | Error due to ‘’ |
| C. | Cannot be determined |
| Answer» B. Error due to ‚Äö√Ñ√∂‚àö√ë‚àö‚⧂Äö√Ñ√∂‚àö√ë‚àö¬• | |
| 16. |
The Transfer Function of an L.T.I. system is ___________ |
| A. | the impulse response with 0 initial conditions |
| B. | the impulse response with some initial conditions |
| C. | the ramp response with 0 initial conditions |
| D. | the step response with 0 initial conditions |
| Answer» B. the impulse response with some initial conditions | |
| 17. |
2 for sigma>-1 |
| A. | 2 for sigma>-3 |
| B. | Only 1 for -3<sigma<-1 |
| C. | 1 for sigma<-1 |
| Answer» B. Only 1 for -3<sigma<-1 | |
| 18. |
The laplace transform of step function, u(t), can be calculated by using _____ |
| A. | syms t; laplace(t/t) |
| B. | laplace(1) |
| C. | laplace(t/t) |
| D. | sym t; laplace(t/t) |
| Answer» B. laplace(1) | |
| 19. |
The default Laplace transform, of functions, computed by MATLAB is __________ |
| A. | Unilateral |
| B. | Bilateral |
| C. | Multipolar |
| D. | Cannot be computed |
| Answer» B. Bilateral | |