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Chapter 33: Q 69P (page 1006)

Question: Light that is traveling in water (with an index of refraction of 1.33) is incident on a plane of glass (with index of refraction of 1.53). At what angle of incidence does the reflected light end up fully polarized?

Short Answer

Expert verified

The angle of incidence for which the reflected ray is fully polarized is49o.

Step by step solution

01

Given

  1. The refractive index of water isn1=1.33
  2. The refractive index of glass is n2=1.53
02

Understanding the concept

Brewster’s angle is the angle of incidence, of a light travelling from the rarer to the denser medium, for which the reflected ray is polarized.

Formula:

Brewster’s angle

θB=tan-1n2n1

03

Calculate the value of n3.

The angle of incidence, at which the reflected light is fully polarized, is-

θB=tan-1n2n1=tan-11.531.33=49∘

The reflected light is fully polarized for the angle of incidence 49∘.

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