Although beats are often associated with sound waves, light waves can also exhibit beats, in which case it is brightness instead of loudness that changes with time. To test this, you perform the double slit experiment with a laser that emits two different wavelengths of light, 450 nm (blue) and 650 nm (red). Both wavelengths are sent through both slits. The slits are separated by 7.5 × 10−5 m and the interference pattern is observed on a screen located 1.5 m away from the slits. All light rays have the same phase constant. a) What wavelength of light do you see at the center of the screen and what is the time interval between moments of maximum brightness? b) Consider the first location above the center at which the red light constructively interferes. Between the center and this location, how many times will the blue light destructively interfere? How about constructively interfere? c) Determine the smallest distance from the center of the screen to the location where both the red light is constructively interfering AND the blue light is constructively interfering.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Although beats are often associated with sound waves, light waves can also exhibit beats, in which case it is brightness instead of loudness that changes with time. To test this, you perform the double slit experiment with a laser that emits two different wavelengths of light, 450 nm (blue) and 650 nm (red). Both wavelengths are sent through both slits. The slits are separated by 7.5 × 10−5 m and the interference pattern is observed on a screen located 1.5 m away from the slits. All light rays have the same phase constant. a) What wavelength of light do you see at the center of the screen and what is the time interval between moments of maximum brightness? b) Consider the first location above the center at which the red light constructively interferes. Between the center and this location, how many times will the blue light destructively interfere? How about constructively interfere? c) Determine the smallest distance from the center of the screen to the location where both the red light is constructively interfering AND the blue light is constructively interfering. d) Is there a location on the detector screen at which the red light is constructively interfering and the blue light is destructively interfering? If so, what is the smallest distance above the center of the detector for such a location?
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