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GEOMETRICAL OPTICS


                   This  defect  can  be  corrected  with  the  aid  of  a  suitable
                   converging  lens.  The  lens  refracts  the  light  rays  and  they
                   converge to form an image on the retina. To an observer,
                   these rays appear to come from near point to form a sharp
                   virtual image on the retina (Fig.12.39-b).




                                                      SUMMARY

                     When  light  travelling  in  a  certain  medium  falls  on  the  surface  of  another
                          medium, a part of it turns back in the same medium. This is called reflection of
                          light. There are two laws of reflection:
                          i. The incident ray, the reflected ray, and the normal all lie in the same plane.
                          ii. The angle of incidence is equal to the angle of reflection (i.e., i = r).
                           Like  plane  surfaces,  spherical  surfaces  also  reflect  light  satisfying  the  two
                          laws of reflection.
                           In  mirrors,  image  formation  takes  place  through  reflection  of  light  while  in
                                 lenses image is formed through refraction of light.
                           The  equation  relating  the  distance  of  the  object  p  from  the  mirror/lens,
                          distance  of  the  image  q  and  the  focal  length  f  of  the  mirror/lens  is  called
                          mirror/lens formula, given by  1     1    1
                                                         f  =  p  +  q
                           Magnification  of  a  spherical  mirror  or  thin  lens  is  defined  as  “the  ratio  of  the
                                 image height to the object height.” i.e.,         Image height     h
                                                                 Magnification m =               =   i
                                                                                   Object height    h o
                         Power of a lens is defined as “the reciprocal of its focal length in metres”. Thus Power
                          of a lens = P = 1 / focal length in metres. The SI unit of power of a lens is “Dioptre”,
                          denoted by a symbol D. If   is expressed in metres so that 1 D = 1 m . Thus, 1 Dioptre f   -1
                          is the power of a lens whose focal length is 1 metre.
                         The refractive index ‘n’ of a material is the ratio of the speed of light ‘c’ in air to the
                          speed of light ‘v’ in the material, thus
                                                    Speed of light in air    c
                                              n =                          =
                                                  Speed of light in medium   v
                         The bending of light from its straight path as it passes from one medium into another
                          is called refraction.
                         Refraction of light takes place under two laws called laws of refraction. These are
                          stated as:
                          i.     The incident ray, the refracted ray, and the normal at the point of incidence
                                 all lie in the same plane.


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