Q. 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 the 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 out the minimum values of m1 and m2 such that the overlapping of the bright fringes will occur and find position of the overlap on screen.