ffraction minimum are located at the same angle relative to the center of the screen. a) Write an expression in terms of the wavelength λ and the slit width a that would allow you to find the angle θD to the first diffraction minimum, but do not try to calculate the angle. b) Write an expression in terms of the wavelength λ and the slit separation d that would allow you to find the angle θI to the fifth interference maximum from the center, but do not try to calculate the angle. c) Determine the ratio of the slit separation d to the slit width a in this case.

University Physics Volume 3
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Author:William Moebs, Jeff Sanny
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Chapter4: Diffraction
Section: Chapter Questions
Problem 34P: Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of...
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In a certain 2-slit combined interference and diffraction experiment, the fifth interference maximum and the first diffraction minimum are located at the same angle relative to the center of the screen.

  1. a) Write an expression in terms of the wavelength λ and the slit width a that would allow you to find the angle θD to the first diffraction minimum, but do not try to calculate the angle.
  2. b) Write an expression in terms of the wavelength λ and the slit separation d that would allow you to find the angle θI to the fifth interference maximum from the center, but do not try to calculate the angle.
  3. c) Determine the ratio of the slit separation d to the slit width a in this case.

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