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GEOMETRICAL OPTICS


                   followed  to  apply  this  equation  for  solving  problems
                   related to mirrors.

                   Sign Conventions
                                                                                       –
                     Quantity              When Positive (+ )        When  Negative  ( )

                     Object distance p     Real object               Virtual object
                     Image distance q      Real Image                Virtual image
                     Focal length f        Concave mirror            Convex mirror


                   Activity12.3: Take a concave mirror or a well polished spoon        Physics insight
                   (using  inside  of  the  spoon  with  concave  surface  bulging   N o t e   t h a t   t h e   w o r d
                   inward). Hold it in hand towards a distant object, such as the   magnification,  as  used  in
                                                                                optics, does not always mean
                   Sun, a building, a tree or a pole. Try to get a sharp, well-
                                                                                enlargement,  because  the
                   focused image of the distant object on the wall or a screen.   image  could  be  smaller  than
                   Measure the distance of the screen from the mirror using a   the object.
                   metre scale. Can you find out the rough focal length of the
                                                                                    For your information
                   concave mirror? Draw the ray diagram to show the image
                   formation in this situation.                                            Mirror

                                                                                   Object         Image
                   Example 12.1: A convex mirror is used to reflect light from an
                   object placed 66 cm in front of the mirror. The focal length of
                   the mirror is 46 cm. Find the location of the image.
                   Solution: Given that, p = 66 cm and f = - 46 cm
                   Using mirror formula,    1     1    1                        Ray  diagram  for  the  virtual
                                               =    –                           image  formation  in  a  plane
                                            q     f    p
                                                                                mirror.
                                             1  = –  1  –   1
                                             q     46 cm  66 cm                        Do you know?
                                             1  = –  1
                                             q    27 cm

                                             q  = – 27 cm

                   The  negative  sign  indicates  that  the  image  is  behind  the
                   mirror and, therefore, is a virtual image.
                   Example 12.2: An object is placed 6 cm in front of a concave   Convex  mirrors  produce
                                                                                images  that  are  smaller  than
                   mirror that has focal length 10 cm . Determine the location of   objects.  This  increases  the
                   the image.                                                   view for the observer.


                   Not For Sale – PESRP                      41
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