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Q.

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

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a

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

b

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

c

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

d

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

answer is A, B, C, D.

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Detailed Solution

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