Page 53 - Physics 10_Float
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GEOMETRICAL OPTICS


                                1    1    1
                                  =
                                q    f    p
                                1  =   1       1
                                           –
                                q   0.05 m 2.5 m
                                1
                                  = 19.6 m -1
                                q

                           or    q = 0.05 m
                   Since the image distance is positive, so a real image is formed
                   on the film at the focal point of the lens.                     A camera without lens!
                   Example 12.6: A concave lens has focal length of 15 cm. At
                   what distance should the object from the lens be placed so                      Wall of box
                   that it forms an image at 10 cm from the lens? Also find the   Object           as screen
                                                                                                   Image
                   magnification of the lens.                                         Pinhole
                   Solution: A concave lens always forms a virtual, erect image   Even  simpler  than  a  camera
                   on the same side of the object. Given that, q = –10 cm       with  one  lens  is  a  pinhole
                   f = –15 cm,  p = ?           1    1    1                     camera.  To  make  a  pinhole
                   Using the lens formula:      f  =  p  +  q                   camera, a tiny pinhole is made
                                                                                in one side of a box. An inverted,
                                                                                real  image  is  formed  on  the
                                                1      1    1
                                                   =      +                     opposite side of the box.
                                                p      q    f
                                                          1           1
                                                  =  –          +
                                                      (– 10  cm)  ( 15 cm)–

                                                      1       1
                                                  =
                                                    10  cm 15 cm
                                               1  =  3 cm – 2 cm
                                               p       30 cm 2
                                               1  =    1
                                               p     30 cm

                                              p   =   30 cm


                   Thus, the object distance is 30 cm, on the left side from the
                   concave lens.                     q              1
                                                           10 cm
                                                        =
                   Magnification  of the lens is                                    =  3
                                                m  =
                                                     p
                   (Ignore nagetive sign)                  30 cm
                   The image is reduced to one-third in size than the object.

                   Not For Sale – PESRP                      53
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