A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 10¹4 Hz that is incident normally on the pane. If the material has an index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one decimal place in your answer. (c = 3.00 x 10³ m/s)

A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 10¹4 Hz that is incident normally on the pane. If the material has an index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one decimal place in your answer. (c = 3.00 x 10³ m/s)

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

Chapter27: Wave Optics

Section: Chapter Questions

Problem 38P

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

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A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 10¹4 Hz that is incident normally on the pane. If the material has an
index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one
decimal place in your answer. (c = 3.00 × 108 m/s)

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KEY TERMS 1. reflection (7.1) 2. ray 3. law of reflection 4. specular reflection 5. diffuse reflection 6. refraction (7.2) 7. index of refraction 8. total internal reflection 9. dispersion 10. focal length (7.3) 11. concave (converging) mirror 12. convex (diverging) mirror 13. real image 14. virtual image 15. converging lens (7.4) 16. diverging lens 17. polarization (7.5) 18. linearly polarized light 19. diffraction (7.6) 20. principle of superposition 21. constructive interference 22. destructive interference For each of the following items, fill in the number of the appropriate Key Term from the preceding list. h. _____ A change in the direction of light at a surface
KEY TERMS 1. reflection (7.1) 2. ray 3. law of reflection 4. specular reflection 5. diffuse reflection 6. refraction (7.2) 7. index of refraction 8. total internal reflection 9. dispersion 10. focal length (7.3) 11. concave (converging) mirror 12. convex (diverging) mirror 13. real image 14. virtual image 15. converging lens (7.4) 16. diverging lens 17. polarization (7.5) 18. linearly polarized light 19. diffraction (7.6) 20. principle of superposition 21. constructive interference 22. destructive interference For each of the following items, fill in the number of the appropriate Key Term from the preceding list. b. _____ i = r