The divergence of a 3-dimensional vector (\frac{𝑟̂}{𝑟^3})... | Physics | SolveeIt | Solveeit

Today, August 24

Question

The divergence of a 3-dimensional vector $\frac{𝑟̂}{𝑟^3}$ (𝑟̂ is the unit radial vector) is:

A

$-\frac{1}{r^4}$

B

Zero

C

$\frac{1}{r^3}$

D

$-\frac{3}{r^4}$

Answer

$-\frac{1}{r^4}$

Explanation

Solution

The correct option is (A): $-\frac{1}{r^4}$