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Consider a function $\vec{f}=\frac{1}{r^{2}} \hat{r}$ where $r$ is the distance from the origin and $\hat{r}$ is the unit vector in the radial direction. The divergence of this function over a sphere of radius $R$, which includes the origin, is

  1. $0$
  2. $2 \pi$ 
  3. $4 \pi$
  4. $R \pi$
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