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Q.

A Fresnel' biprism was used in an attempt to produce monochromatic light of wavelength  is used to generate an interference fringe pattern When a thin, clear glass sheet with a high refractive index is introduced, 1.50 At a thickness of 7 microns in the direction of one of the interfering beams, the pattern's centre fringe is displaced to the position of the sixth brilliant fringe. The wavelength of the monochromatic light employed is then close to:

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a

55 nm

b

650 nm

c

618 nm

d

583 nm

answer is D.

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Detailed Solution

Concept: When a thin plate with a thickness of t and a refractive index of Question Image When a plate is placed in the path of one of the beams, the entire fringe pattern shifts by y towards the side on which the plate is positioned.

Given that the centre fringe has been moved to the position of the sixth brilliant fringe,

The path difference Question Image

Question ImageFrom equation 1:

Question Image

Question Image

Question Image

Question Image


 

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