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. |
Find the gradient of the function sin x + cos y. |
| A. | cos x i – sin y j |
| B. | cos x i + sin y j |
| C. | sin x i – cos y j |
| D. | sin x i + cos y j |
| Answer» B. cos x i + sin y j | |
| 2. |
When gradient of a function is zero, the function lies parallel to the x-axis. State True/False. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
WHEN_GRADIENT_OF_A_FUNCTION_IS_ZERO,_THE_FUNCTION_LIES_PARALLEL_TO_THE_X-AXIS._STATE_TRUE/FALSE.?$ |
| A. | True |
| B. | False |
| Answer» B. False | |
| 4. |
Find the gradient of the function sin x + cos y.$ |
| A. | cos x i – sin y j |
| B. | cos x i + sin y j |
| C. | sin x i – cos y j |
| D. | sin x i + cos y j |
| Answer» B. cos x i + sin y j | |
| 5. |
The gradient can be replaced by which of the following? |
| A. | Maxwell equation |
| B. | Volume integral |
| C. | Differential equation |
| D. | Surface integral |
| Answer» D. Surface integral | |
| 6. |
Find the gradient of the function given by, x2 + y2 + z2 at (1,1,1) |
| A. | i + j + k |
| B. | 2i + 2j + 2k |
| C. | 2xi + 2yj + 2zk |
| D. | 4xi + 2yj + 4zk |
| Answer» C. 2xi + 2yj + 2zk | |
| 7. |
Curl of gradient of a vector is |
| A. | Unity |
| B. | Zero |
| C. | Null vector |
| D. | Depends on the constants of the vector |
| Answer» D. Depends on the constants of the vector | |
| 8. |
Find the gradient of t = x2y+ ez at the point p(1,5,-2) |
| A. | i + 10j + 0.135k |
| B. | 10i + j + 0.135k |
| C. | i + 0.135j + 10k |
| D. | 10i + 0.135j + k |
| Answer» C. i + 0.135j + 10k | |
| 9. |
The gradient of xi + yj + zk is |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 10. |
Divergence of gradient of a vector function is equivalent to |
| A. | Laplacian operation |
| B. | Curl operation |
| C. | Double gradient operation |
| D. | Null vector |
| Answer» B. Curl operation | |
| 11. |
The mathematical perception of the gradient is said to be |
| A. | Tangent |
| B. | Chord |
| C. | Slope |
| D. | Arc |
| Answer» D. Arc | |
| 12. |
Gradient of a function is a constant. State True/False. |
| A. | True |
| B. | False |
| Answer» C. | |