what is tge direction of the light rays when it passes from the optical centre in lens? and how much far will the light go
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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 i.e incident ray will be parallel to emergent ray but displaced.
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When the light rays passes from optical centre of a lens , they remain undeviated and follows straight path. They'll continue their propagation until they strike any reflecting surface.
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