Two coherent light sources emit light of wavelength 550 nm which produces an interference pattern on a screen (figure). The sources are 2.2 mm apart and 2.2 m from the screen.

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In order answer the question, we must know the path difference for the rays. The optical path difference is equal to their geometrical difference (since the rays propagate in the same medium, viz. air):

From smaller image 
OS:
. Since
is much smaller then 1 , we can use approximation
whence
Then

There will be constructive interference at
if the path difference contains integral number of waves, i.e. 

Answer. Constructive interference (bright fringe) occurs at O
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