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Monochromatic light illuminates a pair of thin parallel slits at normal incidence, producing an
interference pattern on a distant screen. The width of each slit is 1/7 the center-to-center distance
between the slits.
a) Which interference maxima are missing in the pattern on the screen?
b) does the answer to part (a) depend on the wavelength of the light used?
c) Does the location of the missing maxima depend on the wavelength
Solution
int=D/d
diff= 7 D/d
Width of central maxima in diffraction pattern=14 int
Hence first diffraction minima will fall on 7th maxima of interference pattern on either side.
Hence 7th interference maxima will not be bright/ visible,
As you know
Interference is modulated by diffraction.

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Monochromatic light illuminates a pair of thin parallel slits at nor.pdf

  • 1. Monochromatic light illuminates a pair of thin parallel slits at normal incidence, producing an interference pattern on a distant screen. The width of each slit is 1/7 the center-to-center distance between the slits. a) Which interference maxima are missing in the pattern on the screen? b) does the answer to part (a) depend on the wavelength of the light used? c) Does the location of the missing maxima depend on the wavelength Solution int=D/d diff= 7 D/d Width of central maxima in diffraction pattern=14 int Hence first diffraction minima will fall on 7th maxima of interference pattern on either side. Hence 7th interference maxima will not be bright/ visible, As you know Interference is modulated by diffraction.