Question

Coherent light of wavelength 500 nm falls on a screen in which there are two narrow (width of each slit = 0.025 mm), parallel slits 1 mm apart, an observing screen is placed 1 m from the slit screen. a) First consider the wave passing through one slit (the other slit is temporarily closed) How far from the center of the pattern is the center of the first dark fringe? b) Now, consider both slits are opened, and in addition to the 500 nm light, a different coherent, monochromatic source of light shines on the two slits. What wavelength should the second source be if the 3rd maximum of this source coincides with the 4th minimum of the 500 nm source? (Note: the central bright fringe is the zeroth maximum, then the next bright fringe is the first maximum, etc.)

          Coherent light of wavelength 500 nm falls on a screen in which there are two narrow (width of each slit = 0.025 mm), parallel slits 1 mm apart, an observing screen is placed 1 m from the slit screen. a) First consider the wave passing through one slit (the other slit is temporarily closed) How far from the center of the pattern is the center of the first dark fringe? b) Now, consider both slits are opened, and in addition to the 500 nm light, a different coherent, monochromatic source of light shines on the two slits. What wavelength should the second source be if the 3rd maximum of this source coincides with the 4th minimum of the 500 nm source? (Note: the central bright fringe is the zeroth maximum, then the next bright fringe is the first maximum, etc.)

Added by Marc D.

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