Consider the standard Young’s double slit experiment setup. Let $Δ x$ represent the path difference between the waves reaching P. Mark the correct statement(s):

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Path difference Δx = yd/D is applicable only when D >> y

Path difference Δx = d sin θ is applicable only when D >> d

Almost equally spaced fringes close to C only when D >> y and d >> λ

Total number of maxima on the screen observable is 5 when $d = 3 λ$

answer is A, B, C, D.

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Detailed Solution

When D >> d, rays from S₁ and S are nearly parallel.
Which gives Δx = d sin θ
Also, Δx = d sin θ = nλ, sin θ = nλ.
Equally spaced fringes occur for d small θ i.e. d >> λ.
If d = 3λ, the possible path different on the screen are
± 2λ, ± λ, 0.

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