Question

For what angle of incidence will light incident on a bucket filled with liquid having refractive index 1.5 be completely polarized after reflection​

Answer 1

Explanation:

Consider a tank made of glass(refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index μ. A student finds that, irrespective of what the incident angle i (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarized. For this to happen, the minimum value of μ is

Answer 2

Concept:

Brewster’s Law states that the maximum polarization of light is achieved by allowing the ray to fall on a transparent surface so that the refracted ray becomes perpendicular to the reflected ray.

Given:

The refractive index, $\mu =1.5$ .

Find:

The angle of incidence that will light the incident on a bucket filled with liquid.

Solution:

The refractive index of glass, $\mu =1.5$ .

According to the Brewster law's,

$tan(i_p)=\mu \\tan(i_p)=1.5\\i_p=tan^-1(1.5)\\i_p=56.3^o$ where $i_p$ is the angle of reflected light.

The angle of incident is $56.3^o$.

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