A light source shines light consisting of two wavelengths, λ1 = 540 nm (green) and λ2 = 450 nm (blue), on two slits separated by 0.180 mm. The two overlapping interference patterns, one from each wavelength, are observed on a screen 1.53 m from the slits. What is the minimum distance (in cm) from the center of the screen to a point where a bright fringe of the green light coincides with a bright fringe of the blue light?

The maximun distance is  

Explanation:

    From the question we are told that

       The wavelength are  

        The distance of seperation of the two slit is

        The distance from the screen is

Generally the distance of the bright fringe to the center of the screen is mathematically represented as

   Where m is  the order of the fringe

For the first wavelength  we have

For the second  wavelength  we have              

         ----(2)

From the question we are told that the two sides coincides with one another so

Hence for this equation to be solved

and  

Substituting this into the  equation

      Hence

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