What is the minimum (non-zero) thickness of a benzene (n = 1.501) thin film that will result in constructive interference when viewed at normal incidence and illuminated with orange light (λvacuum = 615 nm)? a glass slide (ng = 1.620) supports the thin film.

Explanation:

At each reflecting surface (benzene and glass) there will be 180 degree phase change.

Now, for constructive interference the optical path in benzene is .

Formula to calculate thickness of a benzene thin film is as follows.

     Optical path length through benzene () =

Hence, substituting the given values into the above formula as follows.

    Optical path length through benzene =

                   d =

                       =  

                       =   (as 1 nm =

                       = 204.9 m          

Thus, we can conclude that minimum thickness of benzene is 204.9 m.

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