Explanation Given info: The length L of the slab in Figure (1) is 42.0 cm , thickness t is 3.10 mm , angle of incidence θ is 50.0 ° and the refractive index n of the slab is 1.48 . Formula to calculate the number of reflection N that the beam makes before exit at the other end is, N = L t / tan θ 2 = L tan θ 2 t (1) Here, θ 2 is the refracted angle. t is the thickness of the slab. L is the length of the slab. From Snell’s law of refraction to air-water interface to find the refracted angle is, n 1 sin θ 1 = n 2 sin θ 2 sin θ 2 = n 1 n 2 sin θ 1 θ 2 = sin − 1 ( n 1 sin θ 1 n 2 ) Here, θ 1 is the incident angle. n 1 is refractive index of air. n 2 is refractive index of slab. θ 2 is the refracted angle. Substitute sin − 1 ( n 1 sin θ 1 n 2 ) for θ 2 in equation (1). N = L t tan [ sin − 1 ( n 1 sin θ 1 n 2 ) ] (2) Substitute 42

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:

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Chapter 35, Problem 35.66AP

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The reason for which the given situation is impossible.

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Chapter 35, Problem 35.65AP

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Chapter 35 Solutions

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

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The reason for which the given situation is impossible.

Solution Summary: The author calculates the number of reflections that the beam makes before exit at the other end by using Snell’s law of retion to air-water interface.

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The reason for which the given situation is impossible.

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