In a Young's interference experiment, the two slits are separated by 0.175 mm and the incident light includes two wavelengths: λ1 = 540 nm (green) and λ2 = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.46 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 λ1, and m2 is associated with λ2.) 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

Principles of Physics: A Calculus-Based Text
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Chapter27: Wave Optics
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In a Young's interference experiment, the two slits are separated by 0.175 mm and the incident light includes two wavelengths: λ1 = 540 nm (green) and λ2 = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.46 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 λ1, and m2 is associated with λ2.)
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
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