(i) A symmetric lens is cut along optical axis in two equal parts. Intensity of image formed by each part will be same as that of complete lens. Focal length is double the original for each part.
(ii) A symmetric lens is cut along principle axis in two equal parts. Intensity of image formed by each part will be less compared as that of complete lens. (aperture of each part is 
times that of complete lens). Focal length remains same for each part.
(i) For a system of lenses, the net power, net focal length and magnification are given as follows:
(ii) In case when two thin lens are in contact : Combination will behave as a lens, which have more power or lesser focal length
(iii) If two lens of similar focal length but of reverse nature are in contact then combination will behave as a plane glass plate and Fcombonation = ∞
(iv) When two lenses are consider co-axially at a distance d from each other then equivalent focal length (F).
Silvering of lens:
On silvering the surface of the lens it behaves as a mirror. The focal length of the silvered lens is 
where f1= focal length of lens from which refraction produced
fm= focal length of glass from which reflection produced.
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