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Q.

When the angle of incidence on a material is 60°, the reflected light is completely polarized. The velocity of the refracted ray inside the material is $\sqrt{x} \times 10^{8} m / s$ . The value of $x$ is _____.

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answer is 3.

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Detailed Solution

When the reflected ray is completely polarized, from Brewster ‘s law, we have i + r =90°
$\begin{array}{l} \Rightarrow μ_{1} \sin i = μ_{2} \sin (90 - i) \Rightarrow μ_{2} = μ_{1} \tan i \Rightarrow \frac{c}{v_{2}} = μ_{1} \tan i \Rightarrow v_{2} = \frac{c}{μ_{1} \tan i} \\ \Rightarrow v_{2} = \frac{3 \times 10^{8}}{1 \times \sqrt{3}} = \sqrt{3} \times 10^{8} m / s \end{array}$

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