In young's double-slit experiment, the intensity of light at a point on the screen where the path difference is λ is I , λ being the wavelength of light used. The intensity at a point where the p

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In young's double-slit experiment, the intensity of light at a point on the screen where the path difference is λ is I , λ being the wavelength of light used. The intensity at a point where the path difference is 4 λ ​ will be

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For path difference λ , phase difference = 2 π ( Q = λ 2 π ​ x = λ 2 π ​ λ = 2 π ) ⇒ I = I 0 ​ + I 0 ​ + 2 I 0 ​ cos 2 π ⇒ I = 4 I 0 ​ ( ∴ cos 2 π = 1 ) ​ For x = 4 λ ​ , phase difference = 2 π ​ ∴ I ′ = I 1 ​ + I 2 ​ + 2 I 1 ​ ​ I 2 ​ ​ cos 2 π ​ If I 1 ​ = I 2 ​ = I 0 ​ then I ′ = 2 I 0 ​ = 2 ⋅ 4 I ​ = 2 I ​

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