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Chapter 1: Problem 74

What is Brewster's angle for light traveling in water that is reflected from crown glass?

Short Answer

Expert verified
The Brewster's angle for light traveling in water that is reflected from crown glass is approximately 48.8°, calculated using Brewster's Law and the refractive indices of water (1.33) and crown glass (1.52).

Step by step solution

01

Find the refractive indices of water and crown glass.

From a reference source, we find that the refractive index of water (n_1) is approximately 1.33, and the refractive index of crown glass (n_2) is approximately 1.52.
02

Apply Brewster's Law.

Now we can apply Brewster's Law to find the Brewster's angle (θ_B) between water and crown glass: θ_B = arctan(n_2/n_1) Substitute the refractive indices of water and crown glass into the equation: θ_B = arctan(1.52/1.33)
03

Calculate the Brewster's angle.

Use a calculator to find the arctan() value: θ_B = arctan(1.143) θ_B ≈ 48.8° The Brewster's angle for light traveling in water that is reflected from crown glass is approximately 48.8°.

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Most popular questions from this chapter

A scuba diver training in a pool looks at his instructor as shown below. What angle does the ray from the instructor's face make with the perpendicular to the water at the point where the ray enters? The angle between the ray in the water and the perpendicular to the water is \(25.0^{\circ}\).

Components of some computers communicate with each other through optical fibers having an index of refraction \(n=1.55 .\) What time in nanoseconds is required for a signal to travel \(0.200 \mathrm{m}\) through such a fiber?

Diffusion by reflection from a rough surface is described in this chapter. Light can also be diffused by refraction. Describe how this occurs in a specific situation, such as light interacting with crushed ice.

When light is reflected at Brewster's angle from a smooth surface, it is \(100 \%\) polarized parallel to the surface. Part of the light will be refracted into the surface. Describe how you would do an experiment to determine the polarization of the refracted light. What direction would you expect the polarization to have and would you expect it to be \(100 \%\) ?

Does Huygens's principle apply to all types of waves?
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