Explanation Given info: The refractive index of the glass slab is 1.62 . The light ray strikes the water surface at polarizing angle, the refracted ray then strikes the glass slab. The light reflected from the upper surface of the slab is completely polarized. Let θ p be the polarizing angle at which the light form air strikes the water surface, the angle of refraction of the light ray when it enters in the liquid is θ 2 and the angle at which it strikes the slab surface is θ 3 which must be equal to θ ′ p and the angle between the water and the slab is θ as shown in figure below. Figure (1) From the angle sum property of the triangle the sum of all the angles of the triangle is equal to 180 ° . Figure (2) From figure (2) in triangle ABD the angle θ is θ + ( 90 ° + θ 2 ) + ( 90 − θ 3 ) = 180 ° θ = θ 3 − θ 2 (1) For air to water interface, the polarizing angle is tan θ p = n water n air (2) Here, n water is the refractive index of the water n air is the refractive index of the air. Substitute 1.33 for n water and 1.00 for n air in equation (2). tan θ p = n water n air θ p = tan − 1 ( 1.33 1.00 ) = 53.1 ° (3) From Snell’s law of refraction n air sin θ p = n water sin θ 2 (4) Substitute 1.33 for n water , 1.00 for n air and 53.1 ° for θ p in equation (4)

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as:

Question

Chapter 38, Problem 38.65AP

To determine

The angle between the water surface and the surface of the slab.

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Chapter 38 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

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The angle between the water surface and the surface of the slab.

Solution Summary: The author determines the angle between the water surface and the slab surface. The retive index of the glass slab is 1.62.

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The angle between the water surface and the surface of the slab.

Chapter 38 Solutions