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The X−Z plane separates two media A and B of refractive indices \(\mu_A\ =\ 1.5\) and \(\mu_B\ =\ 2\). A ray of light travels from A to B, its direction in two media are given by unit vectors. \(\hat{u_A}\ =\ \hat{ai}\ +\ \hat{bj}\) and \(\hat{u_B}\ =\ \hat{ci}\ +\ \hat{dj}\) respectively, then:
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