In Young's double slit experiment the two slits are 'd' distance apart. Interference pattern is observed on a screen at a distance ' D ' from the slits The first dark fringe i

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In Young's double slit experiment the two slits are 'd' distance apart. Interference pattern is observed on a screen at a distance ' D ' from the slits The first dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light is

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The dark fringe is produced at a point just opposite to the slit, i.e., y = 2 d ​ For dark fringe: y = ( 2 n − 1 ) 2 d λ D ​ where, n = 1 , 2 , 3 , …… . . is the order of the fringe. ​ ⇒ 2 d ​ = ( 2 n − 1 ) 2 d λ D ​ ⇒ λ = ( 2 n − 1 ) D d 2 ​ ​ For n = 1 , λ = D d 2 ​

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