College Physics 10th Edition by Raymond Serway,Chris Vuille

Exercise 30

In a Young's interference experiment, the two slits are separated by 0.150 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 1.40 m from the slits. (a) Find a relationship between the orders m 1 and m 2 that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The order m 1 is associated with 1 , and m 2 is associated with 2.) (b) Find the minimum values of m 1 and m 2 such that the overlapping of the bright fringes will occur and find the position of the overlap on the screen.