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Physics for Secondary Schools


           The  angular  magnification  is  maximum   However, decreasing the focal length is
           when the image is at the near point of the   limited  by the imperfection  of the lens.
           eye.                                       The limitation of the simple microscope
                                                      can  be overcome  by using a compound
                  1   1    1                          microscope.
           Then,    =   +
                  f   u   25
          FOR ONLINE READING ONLY
                                  1   1   1
           Using real is positive,                       Example 6.1
                                  f   u   25
                                                       A  simple  microscope  with  a  focal
                                  25 f                 length  of 5  cm  is  used  to  read  the
           This implies that,  u =
                                 25+  f                division of scale 1.5 mm in size. How
                                                       large will the size of the divisions be as
           Since  M =  D , and D =  , v                seen through the simple microscope?
                       u

                                                         Solution
                         25        25
                                1
           Then,  M =         =+                          f   5 cm h   ,  o  1.5 mm
                        25 f        f                          25      25 cm
                                                                   1
                                                                               16
                       25+  f                             M    f     5 cm  
                          25
                       1
                  M =+                                         h
                           f                              M    i
                                                               h o
           This is the expression for the angular         h   hM
                                                               o
                                                           i
                                                                        6 9 mm
           magnification of the simple microscope.        h  1.5 mm 
                                                           i
           The eye is most relaxed when the image
           is at infinity. In this case, the object has to   Therefore, each division will appear
           be at the focal point of the lens. Thus,    to have a size of 9 mm when viewed
                                                       through the simple microscope.
                          h              h
                  θ     ≈  o  and θ   ≈   i
                   object  25     image  f
                                                      Construction of a simple microscope
                                                      One can construct a simple microscope
           Here,  the  magnification  is  said  to  be
           minimum, given by,                         for various simple uses. Materials  that
                                                      are important in constructing  a simple
                                                      microscope include a biconvex lens and
                       θ θ    h h  h h  25cm
                                         25cm
                        object
                  M
                      M = =  object  = =  i i  ÷  ÷  ÷  o o  = =  a hard box.
                       θ θ     f f  25 25  f f
                        image
                        image
           Angular magnification is also known as               Task 6.1
           the magnifying power of the microscope.
           The  angular  magnification  of  a  simple    Construct a simple microscope
           microscope  may be made  as large as
           possible by decreasing its focal length f.


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                                                                         Student’s Book Form Two



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