In figure, S is a monochromatic point source emitting light of wavelength X = 500nm A thin lens of circular shape and focal length 0.10m is cut into two identical halves L3 and L2 by a plane passing through a diameter The two halves are placed symmetrically about the central axis SO with a gap of 0.5mm. The distance along the axis from S to L₁ and L₂ is 0.15m while that from L₁ and L₂ to O is 1.30m. The screen at O is norma to SO. If the third intensity maximum occurs at the point A on the screen, find the distance OA.
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