Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 24 - The Wave Nature of Light - General Problems - Page 711: 75

Answer

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Work Step by Step

Calculate the angles for the first-order diffraction line using equation 24–2a. $$dsin\theta=m\lambda$$ $$\theta=sin^{-1}\frac{m\lambda}{d}$$ For first order, m = 1, and we also use the fact that the reciprocal of the slit separation d (in meters) is the number of lines per meter. Find the angles for each of the elements, using the appropriate red wavelength. $$\theta_{H}=sin^{-1}((1)(6.56\times10^{-7}m)(3.60\times10^5/m))=13.7^{\circ}$$ $$\theta_{Ne}=sin^{-1}((1)(6.50\times10^{-7}m)(3.60\times10^5/m))=13.5^{\circ}$$ $$\theta_{Ar}=sin^{-1}((1)(6.97\times10^{-7}m)(3.60\times10^5/m))=14.5^{\circ}$$
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