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Two semi-infinite dielectric regions are separated by a plane boundary at $y = 0$. The dielectric constants of region $1 (y < 0)$ and region $2 (y > 0)$ are $2$ and $5$, respectively. Region $1$ has uniform electric field $\vec{E}=3\hat{a}_{x}+4\hat{a}_{y}+2\hat{a}_{z}$, where $\hat{a}_{x},\hat{a}_{y}$, and $\hat{a}_{z}$ are unit vectors along the $x, y$ and $z$ axes, respectively. The electric field in region $2$ is

  1. $3\hat{a}_{x}+1.6\hat{a}_{y}+2\hat{a}_{z}$
  2. $1.2\hat{a}_{x}+4\hat{a}_{y}+2\hat{a}_{z}$
  3. $1.2\hat{a}_{x}+4\hat{a}_{y}+0.8\hat{a}_{z}$
  4. $3\hat{a}_{x}+10\hat{a}_{y}+0.8\hat{a}_{z}$
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