Q.

Two coherent point light sources are placed at x=d/2 and x=d/2. These sources are surrounded by a spherical screen having equation x2+y2+z2=R2(R>>d) . The sources emit monochromatic light of wavelength = d/3 

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a

The shape of second order maxima is a circle of radius. 2R53

b

The number of maxima produced on the screen are 7

c

All maxima are equally spaced along x-axis

d

If radius of screen is doubled the intensity of maxima will become one fourth

answer is A, C, D.

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Detailed Solution

Order of maxima are 3, 2, 1, 0 ,1 ,2, 3 
Along x-axis: d2+πd2π==nλ
2π=nλπ1=λ2x2=2λ2x3=3λ3
Hence π2π1=π3π2 also
dcosθ=nλ3λcosθ=2λcosθ=23sinθ=53
Question Image
r=Rsinθr=R53

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