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GEOMETRICAL OPTICS


                         It gives greater magnification than a single lens.
                         The objective lens has a short focal length, ƒ < 1 cm.
                                                                   o
                         The eyepiece has a focal length, ƒ  of a few cm.
                                                         e

                   Magnification of the Compound Microscope
                   Magnification can be determined through the ray diagram as
                   shown in Fig. 12.32. Objective forms a small image   inside I 1
                   the focal point of eyepiece. This image acts as an object for
                   the eyepiece and the final larger image I  is formed outside
                                                           2
                   the focal point of the objective.
                                          L                                        Compound microscops
                                                       Eyepiece                 Objective  lens  has  smaller
                               Objective                                        focal  length,  than  the
                        Object                                                  eyepiece.
                           P                                            Eye     Distance  between  the
                                   Fo    F e  Q                F e
                                                                                objective  lens  and  the
                      T   O  F
                             o                I 1                               eyepiece is greater than f +f .It
                                                                                                    0  e
                                             R                                  is  used  to  see  very  small
                         I       f
                          2       o                                             objects.
                   Final
                   image
                      S                        f  e
                                                d
                            Fig. 12.32: Ray diagram for compound microscope

                   The magnification of a compound microscope is given by
                                            L       d
                                       M =     (1 +       )
                                            f       f
                                             o      e
                   where L is the length of a compound microscope which is
                   equal to the distance between objective and eye piece, d is
                   distance of final image from eye, f  and f  are the focal lengths
                                                   o     e                         Astronomical telescope
                   of objective and eye piece respectively.                     Objective lens has larger focal
                                                                                length than the eyepiece.
                   Uses of Compound Microscope                                  Distance  between  the
                   A compound microscope is used to study bacteria and other    objective  lens  and  the
                   micro objects. It is also used for research in several fields of   eyepiece is equal to f +f .
                                                                                                 0
                                                                                                   e
                                                                                It  is  used  to  see  distant
                   sciences like, Microbiology, Botany, Geology, and Genetics.
                                                                                astronomical objects.
                   12.14  TELESCOPE
                   Telescope is an optical instrument which is used to observe
                   distant objects using lenses or mirrors. A telescope that uses

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