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GEOMETRICAL OPTICS


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                                                   Convex lens        Image
                                                               Screen

                                           Stand
                                     Metre rod


                    Fig.12.22: Approximate method of finding focal length of a convex lens


                   Power of a Lens


                   Power of a lens is defined as the reciprocal of its focal length
                   in metres. Thus
                                                                                    For your information
                          Power of a lens = P = 1 / focal length in metres      Dioptres  are  handy  to  use
                                                                                because if two thin lenses are
                                                                                placed side by side, the total
                   The SI unit of power of a lens is “Dioptre”, denoted by a    power is simply the sum of the
                                                                      -1
                   symbol D. If  f  is expressed in metres so that 1 D = 1 m . Thus,    individual  powers.  For
                   1 Dioptre is the power of a lens whose focal length is 1 metre.   example,  an  ophthalmologist
                                                                                places a 2.00 dioptre lens next
                   Because  the  focal  length  of  a  convex  lens  is  positive,
                                                                                to  0.35  dioptre  lens  and
                   therefore, its power is also positive. Whereas the power of a   immediately  knows  that  the
                   concave lens is negative, for it has negative focal length.  power  of  the  combination  is
                                                                                2.35 dioptres.
                   12.9   IMAGE FORMATION BY LENSES


                   In mirrors images are formed through reflection, but lenses
                   form images through refraction. This is explained with the
                   help of ray diagrams as follows:
                   Image formation in convex lens can be explained with the
                   help of three principal rays shown in Fig.12.23
                                                                                       Remember it
                                                                                When  dealing  with  diverging
                       1.  The ray parallel to the principal axis passes through
                                                                                lenses, you must be careful not
                          the focal point after refraction by the lens.         to  omit  the  negative  sign
                       2.  The  ray  passing  through  the  optical  centre  passes   associated  with  the  focal
                          straight through the lens and remains undeviated.     length and the image position.
                       3.  The  ray  passing  through  the  focal  point  becomes


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