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Chapter 27: Q94PE (page 1000)

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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Most popular questions from this chapter

Suppose you use the same double slit to perform Young鈥檚 double slit experiment in air and then repeat the experiment in water. Do the angles to the same parts of the interference pattern get larger or smaller? Does the color of the light change? Explain.

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