In a Young's interference experiment, the two slits are separated by 0.17 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 1.38 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.)
(b) Find the minimum values of m1 and m2 such that the overlapping of the bright fringes will occur and find the position of the overlap on the screen.