MCQOPTIONS
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This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Antennas knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The value of Tm(z) in the range between -1 to 1 is ____ |
| A. | -1 to 1 |
| B. | 1 |
| C. | 0 |
| D. | 0 to infinity |
| Answer» B. 1 | |
| 2. |
The value of Tm(-1)=_______ |
| A. | (-1)<sup>m</sup> |
| B. | (-1)<sup>m-1</sup> |
| C. | (-1)<sup>m/2</sup> |
| D. | (-1)<sup>2m</sup> |
| Answer» B. (-1)<sup>m-1</sup> | |
| 3. |
The value of T0(100) is _____ |
| A. | 1 |
| B. | 100 |
| C. | 10000 |
| D. | 200 |
| Answer» B. 100 | |
| 4. |
What is the value of Tm (0) when m is an even number? |
| A. | 0 |
| B. | (-1)<sup>m</sup> |
| C. | -1 |
| D. | (-1)<sup>m/2</sup> |
| Answer» E. | |
| 5. |
The value of Tm(0) for every odd value of m is _____________ |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | m |
| Answer» B. 1 | |
| 6. |
The recurrence relation for the Chebyshev polynomial is __________ |
| A. | T<sub>m</sub>(z) = 2zT<sub>m-1</sub>(z) T<sub>m-2</sub>(z) |
| B. | T<sub>m</sub> (z) = T<sub>m-1</sub>(z) 2zT<sub>m-2</sub>(z) |
| C. | T<sub>m</sub>(z) = 2zT<sub>m</sub>(z) T<sub>m-2</sub>(z) |
| D. | T<sub>m</sub>(z) = 2zT<sub>m</sub>(z) T<sub>m-1</sub>(z) |
| Answer» B. T<sub>m</sub> (z) = T<sub>m-1</sub>(z) 2zT<sub>m-2</sub>(z) | |
| 7. |
Which of the following is holds true for the Chebyshev polynomial? |
| A. | T<sub>m</sub>(-x) = (-1)<sup>m</sup> T<sub>m</sub>(x) |
| B. | T<sub>m</sub>(-x) = (-1)<sup>m</sup> T<sub>m-1</sub>(1/x) |
| C. | T<sub>m</sub>(x) = (-1)<sup>m</sup> T<sub>m</sub>(1/x) |
| D. | T<sub>m</sub>(-x) = (-1)<sup>m</sup> T<sub>m-1</sub>(x) |
| Answer» B. T<sub>m</sub>(-x) = (-1)<sup>m</sup> T<sub>m-1</sub>(1/x) | |