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GEOMETRICAL OPTICS


                      (c) Object between F and 2F


                              Object            F       2F
                          2F      F
                                                            Image




                         The image is beyond 2F, real, inverted, larger than the object.  Approximations
                                                                                The thin lens formula assumes
                     (d) Object at F
                                                                                the lenses have no thickness.
                                                                                This  is  a  good  assumption
                            Object                      F                       when objects and images are
                           F                                                    far  away  compared  with  the
                                                                                thickness of a lens.

                       No image is formed because the refracted rays are
                       parallel and never meet.
                       (e) Object between lens and F


                             Image
                                                                                    For your information
                                    Object                 F                    The study of light behaviour is
                                                                                called  optics.  The  branch  of
                                      F
                                                                                optics  that  focuses  on  the
                                                                                creation  of  images  is  called
                                                                                geometrical optics, because it is
                       The image is behind the object, virtual, erect, larger than the object.  based  on  relationships
                                            Fig. 12.25
                                                                                between angles and lines that
                   12.10 IMAGE LOCATION BY LENS EQUATION                        describe light rays. With a few

                                                                                rules  from  geometry,  we  can
                   In Fig.12.26, let an object OP is placed in front of a convex lens   explain how images are formed
                   at a distance p. A ray PR parallel to the principal axis after   by devices like lenses, mirrors,
                   refraction passes through focus F. Another ray PC meets the   cameras,  telescopes,  and
                   first ray at point  P  after passing through the optical centre C. ’  microscopes.  Optics  also
                                                                                includes  the  study  of  the  eye
                   If this process is repeated for the other points of the object, a
                                                                                itself  because  the  human  eye
                   real and inverted image O’P’ is formed at a distance q from   forms an image with a lens.
                   the lens.       p                    Thin lens
                                                 R
                        P
                                                                 Image
                                                           F         O’
                       O
                       Object        F’         C
                                                      f
                                                                      P’
                                   Fig.12.26
                                                          q
                   Not For Sale – PESRP                      51
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