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Interference of Light Waves: Wavelength Determination and Fringe Patterns

This chapter explores wave optics through the interference of light waves, featuring examples that illustrate important concepts. It includes step-by-step calculations for determining the wavelength of light using double-slit experiments and analyzes fringe patterns generated by multiple slits. Example problems include calculating the distance between bright fringes and exploring the effects of using light of two wavelengths. Additionally, it presents theoretical concepts necessary for understanding interference patterns and offers material for exam preparation.

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Interference of Light Waves: Wavelength Determination and Fringe Patterns

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  1. Chapter 37 Wave Optics EXAMPLES

  2. Chapter 37: Interference of Light Waves: Examples

  3. Example 37.1 Wavelength of a Light Source • A viewing screen is separated from a double-slit source by 1.2 between slits is 0.030 mm. The second order bright fringe (m = 2) is 4.5 cm from the center line. • Determine the wavelength of the light. • Calculate the distance between adjacent bright fringes

  4. Example 37.2 Fringes of Two Wavelengths • A light source emits visible light of two wavelengths:  = 430 nm and ’ = 510 nm. The source is used in a double-slit interference experiment in which L = 1.50 m and d = 0.025 mm. Find the separation between the third-order bright fringes.

  5. Example 37.3 Six slits (Quiz 37.2) • Sketch the interference patter from six slits • The number of secondary maxima is always N– 2 where N is the number of slits • Because N = 6, the secondary maxima are 1/36 as intense as the primary maxima.

  6. Material for the 2nd Midterm • Material from the book to Study!!! • Objective Questions: 3-6 • Conceptual Questions: 1-3 • Problems: 4-9-11-16-19-21-23

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