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Q.

 S1 and S2  in column I represent coherent point sources,  S represents a point source. 
λ=  wavelength of light emitted by the sources.
 

 Column – I Column – II
A)
Question Image
P)Number of maxima = 2
B)
Question Image
Q)Number of minima = 2
C)
Question Image
R)Number of maxima = 4
D)
Question Image
S)Number of minima = 4
  T)Number of maxima = 7

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a

A- q; B- s; C-p, t; D-p

b

A-p, q; B-r, s; C-s, t; D-p

c

A- q; B- s; C-s; D-t

d

A-p; B- s; C-s, t; D-p

answer is B.

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Detailed Solution

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A-p, q; B-r, s; C-s, t; D-p
(C) Virtual image of S will act as another source 
Δx=dsinθ,d=2λ

For maximas,  nλ=2λsinθsinθ=n2
n=0,1,2,
 θ=0,30°,90°,150°
Total maximas possible =7 (centre +3 up +3 down)
(D)  Δx=2λcosθ;θ60°
For maximas,  Δx=nλcosθ=n2; n=0,1,2,θ90°,  θ=60°,θ=0°
Total maximas two, For minima,  Δx=(2n1)λ2;
cosθ=2n14 n=1,cosθ=14;θ>60°;n=2, 

cosθ=34;θ<60°;  No. of possible minimas =1

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