Physics - Geometrical Optics Question with Solution | TestHub

A solid glass sphere of refractive index $n=\sqrt{3}$ and radius $R$ contains a spherical air cavity of radius $\frac{\mathrm{R}}{2}$, as shown in the figure. A very thin glass layer is present at the point O so that the air cavity (refractive index $n=1$ ) remains inside the glass sphere. An unpolarized, unidirectional and monochromatic light source $S$ emits a light ray from a point inside the glass sphere towards the periphery of the glass sphere. If the light is polarized after reflection at O, then the angle of incidence at the inner surface of the glass sphere is $\theta$. The value of $\sin \theta$ is $\_\_\_\_$.