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Discuss the effect and calculate the displacement of the fringes when a thin trasparent plate is introduced in the path of one of the interfering beam of biprism so how this meghod is used to find the thickness of the mica sheet
Asked by Kajlapriyanka6 | 17 Jun, 2020, 13:39: PM
answered-by-expert Expert Answer
mica sheet is introduced in the path of one wave. (such that it blocks the one half of biprism). By doing it the one wave traverse an extra optical path and the path difference between the two waves is not same and entire fringe pattern shifts. The central white fringe is now shifted to another position of cross wire. If ‘S' is the shift in position of white fringe and be the refractive index of mica sheet, thickness ‘t' of mica sheet is given by
 
 
T i m e space r e q u i r e d space b y space t h e space l i g h t space t o space r e a c h space S 1 space t o space P equals fraction numerator S 1 P minus t over denominator c end fraction plus t over v T equals fraction numerator S 1 P plus t open parentheses mu minus 1 close parentheses over denominator c end fraction O p t i c a l space p a t h space d i f f e r e n c e space a t space P equals S subscript 2 P minus open square brackets S subscript 1 P plus mu t minus t close square brackets equals S subscript 2 P minus S subscript 1 P plus open parentheses mu minus 1 close parentheses t equals fraction numerator x d over denominator D end fraction minus open square brackets mu minus 1 close square brackets t F r i n g e space s h i f t space i s space g i v e n space b y increment x equals fraction numerator D open parentheses mu minus 1 close parentheses t over denominator d end fraction beta equals fraction numerator D lambda over denominator d end fraction
Thickness t can be calculated using the above formula.
Answered by Utkarsh Lokhande | 17 Jun, 2020, 20:57: PM

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