MCQOPTIONS
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MCQOPTIONS
This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
10.If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) u (t a)]. |
| A. | 1/s(1+e<sup>(-as)</sup>) |
| B. | 1/s(1-e<sup>(-as)</sup>) |
| C. | 1/s(1+e<sup>as</sup>) |
| D. | 1/s(1-e<sup>as</sup>) |
| Answer» C. 1/s(1+e<sup>as</sup>) | |
| 2. |
Find the Laplace transform of the function f (t) = tsin2t. |
| A. | 4s/(s<sup>2</sup>+4)<sup>2</sup> |
| B. | -4s/(s<sup>2</sup>+4)<sup>2</sup> |
| C. | -4s/(s<sup>2</sup>-4)<sup>2</sup> |
| D. | 4s/(s<sup>2</sup>-4)<sup>2</sup> |
| Answer» B. -4s/(s<sup>2</sup>+4)<sup>2</sup> | |
| 3. |
Find the Laplace transform of ramp function r (t) = t. |
| A. | 1/s |
| B. | 1/s<sup>2</sup> |
| C. | 1/s<sup>3</sup> |
| D. | 1/s<sup>4</sup> |
| Answer» C. 1/s<sup>3</sup> | |
| 4. |
Find the Laplace transform of the function f (t) = 3t4 2t3 + 4e-3t 2sin5t + 3cos2t. |
| A. | 72/s<sup>5</sup> 12/s<sup>4</sup> + 4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4) |
| B. | 72/s<sup>5</sup> 12/s<sup>4</sup> + 4/(s+3)-10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4) |
| C. | 72/s<sup>5</sup> 12/s<sup>4</sup> 4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4) |
| D. | 72/s<sup>5</sup> 12/s<sup>4</sup> 4/(s+3)-10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4) |
| Answer» C. 72/s<sup>5</sup> 12/s<sup>4</sup> 4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4) | |
| 5. |
Find the Laplace transform of the function f (t) = 4t3 + t2 6t + 7. |
| A. | 24/s<sup>4</sup> + 2/s<sup>3</sup> + 6/s<sup>2</sup> + 7/s |
| B. | 24/s<sup>4</sup> 2/s<sup>3</sup> 6/s<sup>2</sup> + 7/s |
| C. | 24/s<sup>4</sup> + 2/s<sup>3</sup> 6/s<sup>2</sup> + 7/s |
| D. | 24/s<sup>4</sup> 2/s<sup>3</sup> + 6/s<sup>2</sup> + 7/s |
| Answer» D. 24/s<sup>4</sup> 2/s<sup>3</sup> + 6/s<sup>2</sup> + 7/s | |