In Young's double slit experiment when a glass plate of refractive index 1.44 is introduced in the path of one of the interfering beams, the fringes are displaced by a distance ' y '. I

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In Young's double slit experiment when a glass plate of refractive index 1.44 is introduced in the path of one of the interfering beams, the fringes are displaced by a distance ' y '. If this plate is replaced by another plate of same thickness but of refractive index 1.66, the fringes will be displaced by a distance

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As a glass plate is used in one of the paths, ​ y 1 ​ = λ β ​ ( 1.44 − 1 ) t y 1 ​ = 0.44 t × λ β ​ ​ New displacement is: y 2 ​ y 2 ​ y 1 ​ y 2 ​ ​ ∴ y 2 ​ ​ = λ β ​ ( 1.66 − 1 ) t = 0.66 t × λ β ​ = 0.44 0.66 ​ = 2 3 y ​ ​

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