MCQOPTIONS
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MCQOPTIONS
This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Electromagnetic Theory knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Determine the divergence of F = 30 i + 2xy j + 5xz2 k at (1,1,-0.2) and state the nature of the field. |
| A. | 1, solenoidal |
| B. | 0, solenoidal |
| C. | 1, divergent |
| D. | 0, divergent |
| Answer» C. 1, divergent | |
| 2. |
Find the divergence of the vector F= xe-x i + y j – xz k |
| A. | (1 – x)(1 + e-x) |
| B. | (x – 1)(1 + e-x) |
| C. | (1 – x)(1 – e) |
| D. | (x – 1)(1 – |
| E. | (x – 1)(1 – e) |
| Answer» B. (x – 1)(1 + e-x) | |
| 3. |
Given D = e-xsin y i – e-xcos y jFind divergence of D. |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 4. |
The divergence concept can be illustrated using Pascal’s law. State True/False. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 5. |
FIND_THE_DIVERGENCE_OF_THE_FIELD,_P_=_X2YZ_I_+_XZ_K?$ |
| A. | xyz + 2x |
| B. | 2xyz + x |
| C. | xyz + 2z |
| D. | 2xyz + z |
| Answer» C. xyz + 2z | |
| 6. |
Identify the nature of the field, if the divergence is zero and curl is also zero.$ |
| A. | Solenoidal, irrotational |
| B. | Divergent, rotational |
| C. | Solenoidal, irrotational |
| D. | Divergent, rotational |
| Answer» D. Divergent, rotational | |
| 7. |
Find whether the vector is solenoidal, E = yz i + xz j + xy ? |
| A. | Yes, solenoidal |
| B. | No, non-solenoidal |
| C. | Solenoidal with negative divergence |
| D. | Variable divergence |
| Answer» B. No, non-solenoidal | |
| 8. |
Determine the divergence of F = 30 i + 2xy j + 5xz2 k at (1,1,-0.2) and state the nature of the field. |
| A. | 1, solenoidal |
| B. | 0, solenoidal |
| C. | 1, divergent |
| D. | 0, divergent |
| Answer» C. 1, divergent | |
| 9. |
Find the divergence of the vector F= xe-x i + y j – xz k$ |
| A. | (1 – x)(1 + e<sup>-x</sup>) |
| B. | (x – 1)(1 + e<sup>-x</sup>) |
| C. | (1 – x)(1 – e) |
| D. | (x – 1)(1 – e) |
| Answer» B. (x ‚Äö√Ñ√∂‚àö√ë‚àö¬® 1)(1 + e<sup>-x</sup>) | |
| 10. |
Compute the divergence of the vector xi + yj + zk. |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 11. |
The divergence concept can be illustrated using Pascal’s law. State True/False.$ |
| A. | True |
| B. | False |
| Answer» B. False | |
| 12. |
The divergence of a vector is a scalar. State True/False. |
| A. | True |
| B. | False |
| Answer» B. False | |