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Unformatted text preview: we moved the mirror, the n th interference fringe after the mirror is moved is seen where the 2 n th interference fringe was before we moved the mirror. Similarly, also the other fringes are shifted in position. Dark fringes are found when 2 = ( m + 1 2 ) , or = ( m + 1 2 ) 2 . As one application, we can place material of length L with refractive index n along the arm d 1 . Then, the change in the optical path difference is = d 1 ( n )- d 1 ( n = 1) = ( n- 1) L . The condition for the first bright maximum (for m = 1) is ( n- 1) L = 2 , such that we can use this method to measure the refractive index of the material. Example : Fringes are observed due to monochromatic light in a Michelson interferometer. When the movable mirror is translated by 0.073mm, a shift of 300 fringes is observed. What is the wavelength of the light? If the displacement of the fringe system is by 10.5 fringes, what is the refractive index of a sample whose thickness is 0.005mm that is placed in onewhat is the refractive index of a sample whose thickness is 0....
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- Spring '09