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  • Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium -1 ) and 6.8 (medium -2 ), respectively. To satisfy the condition, so that the

Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium -1 ) and 6.8 (medium -2 ), respectively. To satisfy the condition, so that the reflected and refracted rays are perpendicular to each other, the angle of incidence should be\tan ^{-1}\left(1+\frac{10}{\theta}\right)^{\frac{1}{2}}the value of \theta is ______________. (Given for dielectric media, \mu_{\mathrm{r}}=1 )

Option: 1

7


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \mu_1=\sqrt{2.8} \\ & \mu_2=\sqrt{6.8} \\ & \mu \sin \mathrm{i}=\mu_2 \operatorname{cosi} \\ & \tan \mathrm{i}=\frac{\mu_2}{\mu_1}=\sqrt{\frac{6.8}{2.8}} \\ & \tan \mathrm{i}=\left(\frac{2.8+4}{2.8}\right)^{\frac{1}{2}} \\ & \mathrm{i}=\tan ^{-1}\left(1+\frac{10}{7}\right)^{\frac{1}{2}} \\ & \theta=7 \end{aligned}

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shivangi.shekhar

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