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Question

A young's double slit apparatus has slits separated by 0.28 mm and a screen 48 cm away from the slits. The whole apparatus is immersed in water and the slits are illuminated by the red light (λ=700 nm in vacuum) find th efringe-width of the pattern formed on the screen.


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    Solution

    Given that: d=0.28mm=0.28×103m,D=48cm,λa=700nminvaccum
    Let λw = wavelength of red light in water
    Since, m=vavw=λaλw=43
    3λa4=3×7004=525nm
    Wo, th efringe width of the pattern is given by,
    B=λwD=525×109×(0.48)(0.28)×103=9×104=0.90mm


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