In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light includes two wavelengths: d, = 540 nm (green) and 1, = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.48 m from the slits. (a) Find a relationship between the orders m, and m, that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The order m, is associated with 1,, and m, is associated with 2,.) m2 %3D (b) Find the minimum values of m, and m, such that the overlapping of the bright fringes will occur. m = m, = Find the position of the overlap on the screen. cm from the central maximum

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter35: Diffraction And Interference
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In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light includes two wavelengths: 1, = 540 nm (green) and 1,
= 450 nm
(blue). The overlapping interference patterns are observed on a screen 1.48 m from the slits.
(a) Find a relationship between the orders m, and m, that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The
order m, is associated with 1,, and m, is associated with 1,.)
m2
m1
(b) Find the minimum values of m,
and m, such that the overlapping of the bright fringes will occur.
m1
m2
Find the position of the overlap on the screen.
cm from the central maximum
Transcribed Image Text:In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light includes two wavelengths: 1, = 540 nm (green) and 1, = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.48 m from the slits. (a) Find a relationship between the orders m, and m, that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The order m, is associated with 1,, and m, is associated with 1,.) m2 m1 (b) Find the minimum values of m, and m, such that the overlapping of the bright fringes will occur. m1 m2 Find the position of the overlap on the screen. cm from the central maximum
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