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Q.

Two monochromatic coherent point sources S1 and S2 are separated by a distance L. Each source emits light of wavelength λ; where L >> λ. The line S1S2 when extended meets a screen perpendicular to it at point A. Then

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a

the interference fringes on the screen are circular in shape

b

the interference fringes on the screen are straight lines perpendicular to the line S1S2A

c

point A is an intensity maxima if L=

d

point A is always an intensity maxima for any separation L

answer is A, C.

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Detailed Solution

If the screen is perpendicular to y-axis (line joining the sources), i.e., xz plane, the fringes will be circular (i.e., concentric circles with their centers on the point of intersection of the screen with y-axis). In this situation, central fringe will be bright if S1S2= and dark if S1S2=(2n1)λ/2. From all this, it is clear that shape of fringes depends on the nature of sources and direction of observation, i.e., position of screen.

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