Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Mathematical Methods of Physics
If \(\vec{r}=x \hat{\imath}+y \hat{\jmath}+z \hat{k}\) is a position vector.
Match List I with List II
| LIST I | LIST Il | ||
| A. | div \(\vec{r}\) | l. | \(-\frac{\vec{r}}{|\vec{r}|^3}\) |
| B. | curl \(\vec{r}\) | ll. | 3 |
| C. | grad \(|\vec{r}|\) | lll. | 0 |
| D. | grad \( \frac{1}{|\vec{r}|}\) | lV. | \(\frac{\vec{r}}{|\vec{r}|}\) |
Choose the correct answer from the options given below:
1
(A) - (III), (B) - (II), (C) - (I), (D) - (IV)
2
(A) - (III), (B) - (II), (C) - (IV), (D) - (I)
3
(A) - (II), (B) - (III), (C) - (IV), (D) - (I)
4
(A) - (II), (B) - (III), (C) - (I), (D) - (IV)