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Optical instruments

           Mode of action of a lens camera                 and so,
           To take a photograph of an object, the image       v   uf
           of the object must be sharply focused on the          u   f

           film.  This  is  done  by  adjusting  the  distance   then,
                                                                             1
           of the lens from the film. After focusing and      m   v    uf       f
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           correctly setting the aperture size and shutter        u   u   f  u  u   f
           time, the shutter release button is pressed. The              f
           shutter opens to allow light to enter and expose   Hence, m   u   f  .
           the film to form an image of the object being
           photographed. The film is then developed to    Therefore,  magnification  produced

           produce a photograph of the object. Figure     by the lens camera depends on the
                                                          focal length f of the convex lens used
           6.13 illustrates the image formation by a lens   and the object distance u.
           camera.

                               Lens            Film            Example 6.5
                                               Shutter      A lens camera of focal length
                                                            10 cm is used to take a picture of
                                               Real         a girl 1.5 m tall.  Determine  the
                                               image        magnification of the image if the
                                                            girl is 11 m from the camera.
            Object         Aperture                         Solution
                                                               f =  10 cm =  0.1 m, u =  11 m
             Figure 6.13: Image formation by a lens camera
                                                             but         f
           Magnification of a lens camera                         m   u   f
           The magnification produced by a lens camera
           is given as;                                           m      0.1 m
                                                                      11 m 0.1 m
                image height  ()h   image distance ( )v
            m =                 i  =                                =  0.009
                object height h     object distance ( ) u
                              ( )
                                o
                                                            Therefore, the image is reduced by
                                                            a factor of 0.009.
           Recalling the lens formula,
               1  =  1  +  1                              Construction  of  a  simple  lens
               f   u   v                                  camera
                                                          A simple lens camera can easily be
           This can also be written as,                   constructed using local materials,
               1    1    1                              including  the  lens  from  unused

               v   f   u                                  optical instruments. Perform task 6.5
                                                          to construct your lens camera.


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