The polarising angle of a transparent medium | vedclass

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(C) According to Brewster's Law,the refractive index $\mu$ of a medium is given by $\mu = 	an 	heta$,where $	heta$ is the polarising angle.We also

Vedclass · Accepted Answer

$	heta=\cot ^{-1}\left(\frac{v}{c}ight)$

Vedclass · Answer

(C) According to Brewster's Law,the refractive index $\mu$ of a medium is given by $\mu = 	an 	heta$,where $	heta$ is the polarising angle.We also know that the refractive index $\mu$ is the ratio of the speed of light in air $(c)$ to the speed of light in the medium $(v)$,so $\mu = \frac{c}{v}$.Equating the two expressions for $\mu$,we get $	an 	heta = \frac{c}{v}$.Therefore,$	heta = 	an^{-1}\left(\frac{c}{v}ight)$.However,looking at the options provided,there seems to be a reciprocal relationship intended. If we define the refractive index as $\mu = \frac{1}{	an 	heta}$ or if the question implies the angle of incidence relative to the surface,we re-evaluate: $	an 	heta = \frac{c}{v} \implies \cot 	heta = \frac{v}{c}$.Thus,$	heta = \cot^{-1}\left(\frac{v}{c}ight)$.

The polarising angle of a transparent medium is $\theta$. Let the speed of light in the medium be $v$. Then the relation between $\theta$ and $v$ is [where $c$ is the velocity of light in air].

Similar Questions

Let the speed of light in a medium be $V$ and the polarising angle be $i_p$. If $C$ is the speed of light in vacuum,what is the relation between them?

If the polarising angle for an air-glass interface is $56.3^o$,what is the angle of refraction in glass (in $^o$)?

When unpolarized light is incident at an angle of $60^{\circ}$ on a transparent medium from air,the reflected ray is completely polarized. The angle of refraction in the medium is (in $^{\circ}$)

$A$ beam of light $AO$ is incident on a glass slab $(\mu = 1.54)$ in a direction as shown in the figure. The reflected ray $OB$ is passed through a Nicol prism. On viewing through the rotating Nicol prism,we find that $(\tan 57^{\circ} = 1.54)$.

Unpolarized light of intensity $I_0$ is incident on the surface of a block of glass at Brewster's angle. In that case,which one of the following statements is true?

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