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Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
24
The Wave Nature of Light
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24-3: Double-Slit Interference
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24-4: Visible Spectrum; Dispersion
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24-5: Single-Slit Diffraction
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24-6 and 24-7: Diffraction Gratings
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24-8: Thin-Film Interference
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24-9: Michelson Interferometer
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24-10: Polarization
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Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 46
Q
  1. What is the smallest thickness of a soap film (n = 1.33) that would appear black if illuminated with 480-nm light? Assume there is air on both sides of the soap film.
  2. What are two other possible thicknesses for the film to appear black?
  3. If the thickness tt was much less than λ\lambda, why would the film also appear black?
A
  1. x1=180 nmx_1 = 180 \textrm{ nm}
  2. x2=360 nm, x3=540 nmx_2 = 360 \textrm{ nm, } x_3 = 540 \textrm{ nm}
  3. there would be only a phase difference of one half wavelength, which is destructive.
Giancoli 7th Edition, Chapter 24, Problem 46 solution video poster
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