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Optical instruments

                             L                               lens, that  is,  u   o . f  Therefore,
                                                                            o
                  u    f           f                         the  lateral  magnification  of  the
                   0    0  v       e
                               B'           Eyepiece         objective  lens is approximately
                       β
          B''  B  F 0  O    β  F e  h'  E                    taken as,
                                  I
                  Objective    A'  1                           m =  v   but v   f
                                                                             L
          FOR ONLINE READING ONLY
           I 2                                                 o   f o            e
                                                                         L   f
                                                                    m      f  e
                                                                      o
                         D                                                  o
            A''
                                                             The real image  I , formed by the
                                                                              1
               Figure 6.4: Image formation by a compound     objective lens, is close to the focal
                             microscope                      point  F  of the  eyepiece,  that  is,
                                                                    e
           Magnification of a compound                       u    e . f   As a result, the image
                                                              e
           microscope                                        formed by the eyepiece appears at
           As  for  a  simple  magnifier,  what  matters     infinity. Although the eye can focus
           when viewing through a microscope  is the         on an image  formed anywhere
           angular  magnification  M.  The  overall  angular   between the near point and infinity,
                                                             it is most relaxed when the image
           magnification of the compound microscope is       is at infinity. From the relation,
           the product of two factors.

                                                                M =   D
                                                                  e
           The first factor is the lateral magnification  m o  of     u e
           the objective lens, which determines the linear   then, angular magnification is,
           size of the real image  I . The second factor is           D
                                  1
           the angular magnification  M  of the eyepiece,       M =    f
                                                                   e
                                       e
           which relates the angular size of the virtual image         e
           seen through the eyepiece to the angular size     where  f  is the focal length of the
                                                                     e
           that the real image  I  would have if you view it   eyepiece.
                               1
           without the eyepiece. The first factor is given by
           the ratio of distance of the image formed by the   Since D is approximately 25 cm,
                                                             then,
           objective lens to the distance between the object
           and the objective lens. According to Figure 6.4,     M =   25 cm
           the lateral magnification is,                          e     f e
                       v
                 m =  u                                      The overall angular magnification
                   o
                                                             M of a compound microscope is the
                        o
                                                             product of the two magnifications:
           The object is normally placed at a point very
           close  to the  focal  point  F  of the  objective   the  lateral  magnification  of  the
                                      o
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     Physics Form 2 Final.indd   217                                                        25/10/2025   10:28
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