The Young's double slit experiment, angular width of fringes is 0.20 radians for sodium light of wavelength 5890 A ˚ . If the complete system is dipped in water, then the angular width of fringes

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The Young's double slit experiment, angular width of fringes is 0.20 radians for sodium light of wavelength 5890 A ˚ . If the complete system is dipped in water, then the angular width of fringes will be [Refractive index of water = 3 4 ​ ]

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Angular fringe width is given by β = d λ ​ β = 0.2 radians = d λ ​ If dipped in water β ′ = d λ ′ ​ where λ ′ = μ λ ​ for water, μ = 3 4 ​ Taking ratio of eq n (1) and eq n (2) ​ β ′ 0.2 ​ = ( 4 d 3 λ ​ ) ( d λ ​ ) ​ ⇒ β ′ = 0.2 × 4 3 ​ radians = 0.15 radians ​

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