At what angle is light inside crown glass completely polarized when reflected from water, as in a fish tank?

Short Answer

Expert verified

The angle is \({41.2^\circ }\).

Step by step solution

01

 Step 1: Definition of polarisation

The term polarised refers to a medium that shows polarisation.

02

Finding the angle

The equation is used to solve this problem \(\tan \left( {{\theta _b}} \right) = \dfrac{{{n_2}}}{{{n_1}}}\) where \({n_1}\) is the index of reflection for air and for water, is the index of redfraction for water is \({n_2}\).

\(\begin{aligned}\tan \left( {{\theta _b}} \right) &= \dfrac{{{n_2}}}{{{n_1}}}\\ &= \dfrac{{1.33}}{{1.52}}\\ &= 0.875\end{aligned}\)

Solving for the angle, we get

\(\begin{aligned}{\theta _b} &= {\tan ^{ - 1}}(1.14)\\ &= {41.2^\circ }\end{aligned}\)

Therefore, the angle is \({41.2^\circ }\)

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