In a Young's double slit experiment, the path difference, at a certain point on the screen, betwen two interfering waves is 8 1 th of wavelength. The ratio of the intensity at this point to tha

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In a Young's double slit experiment, the path difference, at a certain point on the screen, betwen two interfering waves is 8 1 ​ th of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe is close to:

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Given, path difference, Δ x = 8 λ ​ Phase difference ( Δ ϕ ) is given by Δ ϕ = λ 2 π ​ ( Δ x ) Δ ϕ = λ ( 2 π ) ​ 8 λ ​ = 4 π ​ For two sources in different phases, I = I 0 ​ cos 2 ( 8 π ​ ) I 0 ​ 1 ​ = cos 2 ( 8 π ​ ) = 2 1 + c o s 4 π ​ ​ = 2 1 + 2 ​ 1 ​ ​ = 0.85 ​

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