The \( x z \)-plane separates two media \( A \) and \( B \) with refractive indices \( \mu_{1} \...
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The \( x z \)-plane separates two media \( A \) and \( B \) with refractive indices \( \mu_{1} \) and \( \mu_{2} \), respectively. A ray of light travels from \( A \) and \( B \). Its directions in the two media are given by the unit vectors \( \hat{\mathbf{r}}_{A}=a \hat{\mathbf{i}}+b \hat{\mathbf{j}} \) and \( \hat{\mathbf{r}}_{B}=\alpha \hat{\mathbf{i}}+\beta \hat{\mathbf{j}} \) respectively, where \( \hat{\mathbf{i}} \) and \( \hat{\mathbf{j}} \) are unit vectors in the \( x \) and \( y \)-directions. Then,
(a) \( \mu_{1} a=\mu_{2} \alpha \)
(b) \( \mu_{1} \alpha=\mu_{2} a \)
(c) \( \mu_{1} b=\mu_{2} \beta \)
(d) None of these
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