when any ray of light passes through the optical center it does not diviate why?
The ray passing through optical center does no deviate because the curvature of the Lens at the incident and exit point are exactly opposite so the deviation at the first point is cancelled at the other point. Note that for a thin lens the ray appears to be passing straight but for a thick Lens there will be a lateral shift ie incident ray will be parallel to emergent ray but displaced.
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