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Double Slit Interference: Understanding Bright and Central Fringes based on Path and Phase Differences

Learn about the intricacies of double-slit interference, exploring the formation of bright and central fringes in relation to path and phase differences. Discover how the distance and separation of slits impact fringe patterns. Dive into the theory behind double-slit interference on a screen, focusing on the first bright fringe and central fringe. Explore the concept of wavelength, slit-to-screen distance, slit separation, and fringe width for constructive and destructive interference. Gain insights on the conditions for bright and dark fringes to occur, enhancing your understanding of wave behavior and interference phenomena in a straightforward and comprehensive manner.

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Double Slit Interference: Understanding Bright and Central Fringes based on Path and Phase Differences

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  1. 13.4 Double slit interference

  2. From one source and two gaps 1st bright fringe central fringe 1st bright fringe

  3. From one source and two gaps 1st bright fringe central fringe 1st bright fringe - the closer the slits become the wider the fringe separation. - waves of short wavelength give narrow fringe separation because blue light diffracts less.

  4. Path difference Phase difference

  5. Path difference Phase difference

  6. Double Slit interference - theory screen First bright fringe W Central fringe

  7. Double Slit interference - theory D screen First bright fringe W Ə Central fringe = wavelength = 600nm D = slit to screen distance = 2m S = slit separation = 0.5 mm W = fringe width = 1mm

  8. For constructive interference at the screen: ( ie a bright fringe ) Wave fronts from S1 and S2 must arrive at the screen in phase with a path difference of a whole number of wavelengths

  9. For constructive interference at the screen: ( ie a bright fringe ) Wave fronts from S1 and S2 must arrive at the screen in phase with a path difference of a whole number of wavelengths For destructive interference at the screen: ( ie a dark fringe ) Wave fronts from S1 and S2 must arrive out of phase with a path difference of half a wavelength

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