Part CDerive a formula for 6, the angle between the red and blue refracted rays in the diamond.Express the angle in terms of nred, nblue, and a. Use nair = 1. Note that any trig function entered in your answer must be followed by an argument in parentheses.► View Available Hint(s)8 = sinSubmitΑΣΦsinairnredPrevious Answerssinsin?airn blue A beam of white light is incident on the surface of a diamond at an angle a. (Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light willspread out as they pass through the diamond. The indices of refraction in diamond are nred = 2.410 for red light and blue = 2.450 for blue light. The surrounding air has nair = 1.000. Note that theangles in the figure are not to scale.

Refractive index in diamond for red light nred=2.410Refractive index in diamond for blue lightnblue…

Part C Derive a formula for 6, the angle between the red and blue refracted rays in the diamond. Express the angle in terms of ► View Available Hint(s) ΠΠΙΑΣΦ 8 = sin Submit sin air nred Previous Answers red, blue, and a. Use nair = 1. Note that any trig function entered in your answer must be followed by an argument in parentheses. sin sin ? air n blue

Part C Derive a formula for 6, the angle between the red and blue refracted rays in the diamond. Express the angle in terms of ► View Available Hint(s) ΠΠΙΑΣΦ 8 = sin Submit sin air nred Previous Answers red, blue, and a. Use nair = 1. Note that any trig function entered in your answer must be followed by an argument in parentheses. sin sin ? air n blue

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter25: Reflection And Refraction Of Light

Section25.7: Total Internal Refl Ection

Problem 25.7QQ

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By how much do the critical angles for red (660 nm) and violet (410 nm) light differ in a diamond surrounded by air?