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In a Young's double slit experiment with light of wavelength λ the separation of slits is d and distance of screen is D such that D d λ. If the fringe width is β, the distance from point of maximum intensity to the point where intensity falls to half of maximum intensity on either side is

Asked in JEE Main Online 2015 · Intensity and coherent sources

Answer: (2) β/4

Step-by-step solution

I = I₀ cos²φ/2; half intensity needs cos²φ/2 = 1/2, so φ = π/2.

Path difference λ/4.

A path difference of λ corresponds to a distance β, so y = β/4.

Why the other options are wrong

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