Interference 

Asked by Balasahebbsolanke12345 | 28th Feb, 2021, 12:39: PM

Expert Answer:

To get complimentary pattern of initial interference pattern , path length Δp between the reflected rays of
respective incident rays should be (2n+1)( λ/2 )
 
where n is an integer , n = 1, 2, 3.... etc and λ is wavelength
 
Δp = ( 2n + 1 ) ( λ/2 ) = [ n + (1/2) ] λ  ....................(1)
 
Path difference due to reflection at intermediate layer = μ × 2d ................(2)
 
where μ is refractive index of liquid and d is the thickness of liquid film
 
Since refractive index varies with respect to time , from eqn.(1) and (2)
 
( μ(0) - 0.1 t ) × 2d = [ n + (1/2) ] λ
 
( 1.4 - 0.1 t ) × 2d = [ n + (1/2) ] λ
 
By knowing liquid film thickness d and wavelength of light used ,
we get time t that will produce complimentary interference pattern

Answered by Thiyagarajan K | 28th Feb, 2021, 03:39: PM

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