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Physics for Secondary Schools


           objective lens and the angular magnification   Solution
           of the eyepiece.                             The final image is at infinity and two
                                                        lenses are separated by the distance of
           That is;
                   M =  mM  e                           30 cm as shown in Figure 6.5.
                         o
                                L   f  25 cm                           30 cm
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                   M   mM   o  e  f  e    f                     26 cm      4 cm
                                           e
                                   o
                                                            Objective lens    Objective lens
                                                                                      e
           To produce large magnification,  f  and      h o      f = 12 cm           f = 4 cm
                                                                  o
                                             e
            f  must be very small compared to L.                           h
             o
           Therefore,                                       u
                   L   f   e  . L

                                L   f  25 cm                            Final image at infinity
                   M   mM   o  e   e  
                                  f o     f e                         Figure 6.5
                                                         From
                        25L
                                                             L
           Hence,  M =                                    v     e ; f
                        ff
                         o e
                                                          v   30 cm 4 cm
           Note that; f o , f  and L are measured in
                          e
           centimetres (cm). This expression is used       = 26 cm
           to determine the magnification produced
           by a compound microscope.                     Using lens formula,

                                                          1   1   1   1    1   1
                                                                    ;
                      Task 6.3                            f  =  u  +  v 12  =  u  +  26

              Observe the image formed by a               1     1        1
              compound microscope, then state                              ;
              the nature of the formed image.             u   12 cm   26 cm

                                                          1   26 cm 12 cm
                Example 6.2                               u     312 cm  2

             A compound microscope  consists of           1    14 cm
             the  objective lens  and  the  eyepiece        =        2
             lens of focal  length  12 cm and 4           u   312 cm
             cm, respectively. The two lenses are         u =  22.3 cm
             separated  by a distance  of 30 cm.
             The microscope is focused so that the
             image is formed at infinity. Determine      Therefore, the  object  distance  is
             the position of the object.                  22.3 cm from the objective lens.


             218
                                                                         Student’s Book Form Two



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