Convex or Convergent Lens
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Convex lens are thin at the edges and thick at the centre.

Concave or Divergent Lens
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Concave lens are thick at the edge and thin at the centre.

Important Terms
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Principal Axis
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It is defined as a straight line passing through the centre of curvatures of two surfaces of a lens.
Optical Centre (C )
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It is a point lying on the principal axis of the lens so that a ray of light whose refracted path passes through this point will have its emergent path parallel to the direction of the incident ray.
Principal Focus (F)
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When a beam of light is incident on a lens in a direction parallel to the principal axis of the lens, the rays after refraction through lens converge to or appear to diverge from a point on the principal axis.
In case of a convex lens, the rays after refraction actually come to a focus and hence a real focus is obtained at F.

Convex Lens
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In case of a concave lens, the rays after refraction appear to come from F and hence F is a virtual focus.

Convcave Lens
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According to sign conventions F is positive for convex lens and is negative for concave lens.