In a Young's interference experiment, the two slits are separated by 0.145 mm and the incident light includes two wavelengths: 2, = 540 nm (green) and 1, = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.22 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 (b) Find the minimum values of m, and m, such that the overlapping of the bright fringes will occur. m, = m2 = Find the position of the overlap on the screen. cm from the central maximum

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter35: Diffraction And Interference
Section: Chapter Questions
Problem 6PQ
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In a Young's interference experiment, the two slits are separated by 0.145 mm and the incident light includes two wavelengths: ?1 = 540 nm (green) and ?2 = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.22 m from the slits.
(a) Find a relationship between the orders m1 and m2 that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The order m1 is associated with ?1, and m2 is associated with ?2.)

m2/m1=

(b) Find the minimum values of m1 and m2 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

In a Young's interference experiment, the two slits are separated by 0.145 mm and the incident light includes two wavelengths:
= 540 nm (green) and 1, = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.22 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
m,
(b) Find the minimum values of m, and m, such that the overlapping of the bright fringes will occur.
m, =
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 0.145 mm and the incident light includes two wavelengths: = 540 nm (green) and 1, = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.22 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 m, (b) Find the minimum values of m, and m, such that the overlapping of the bright fringes will occur. m, = m2 = Find the position of the overlap on the screen. cm from the central maximum
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