While conducting the Young's double slit experiment, a student replaced to two slits with a large opaque plate in the x-y plane containing two small holes that act as two coherent point sources (S 1 , S 2 ) emitting light of wavelength 600 nm. The student mistakenly placed the screen parallel to the x-z plane (for z > 0) at a distance D = 3 m from the mid-point of S 1 S 2 , as shown schematically in the figure. The distance between the sources d = 0.6003 mm. The origin O is at the intersection of the screen and the line joining S 1 S 2 . Which of the following is(are) true of the intensity pattern on the screen ?

Text Solution
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(a,c)
Sol. from theory fringes will be semi circular
and 
at 0 Δ x = 
so at 0 it will be dark
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