A solid glass sphere of refractive index n=sq | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For the light to be fully polarized upon reflection,the angle of incidence at the inner surface must be the Brewster's angle,$\alpha$. According t

Vedclass · Accepted Answer

$0.75$

Vedclass · Answer

(C) For the light to be fully polarized upon reflection,the angle of incidence at the inner surface must be the Brewster's angle,$\alpha$. According to Brewster's law,$	an \alpha = \frac{n_{glass}}{n_{air}} = \frac{\sqrt{3}}{1} = \sqrt{3}$.Thus,$\alpha = 60^{\circ}$.Let $\beta$ be the angle of refraction at the inner surface. By Snell's law,$n_{glass} \sin \beta = n_{air} \sin \alpha$,so $\sqrt{3} \sin \beta = 1 	imes \sin 60^{\circ} = \frac{\sqrt{3}}{2}$,which gives $\sin \beta = 0.5$,so $\beta = 30^{\circ}$.In the triangle formed by the center of the sphere,the center of the cavity,and the point $O$,the sides are $R/2$,$R/2$,and the distance from the center of the sphere to $O$ is $R/2$. Using the sine rule in the triangle with sides $R/2$ and $R/2$ and angle $\beta=30^{\circ}$,we find the geometry leads to $\sin 	heta = \frac{3}{4} = 0.75$.

Similar Questions

Choose the $CORRECT$ statement from the following. Brewster's angle for a transparent medium is

When a light ray is incident on the surface of a medium,the reflected ray is completely polarized. Then the angle between the reflected and refracted rays is (in $^{\circ}$)

$A$ parallel beam of monochromatic unpolarised light is incident on a transparent dielectric plate of refractive index $\mu = \sqrt{3}$. The reflected beam is completely polarised. Then the angle of incidence is....$^o$

The critical angle of a certain medium is $\sin^{-1}\left(\frac{3}{5}\right)$. The polarizing angle of the medium is

At what angle of incidence,the light reflected from a glass slab will become completely polarised,if the angle of refraction at that incident angle is $33.6^{\circ}$ (in $^{\circ}$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module