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GEOMETRICAL OPTICS


                          parallel to the principal axis after refraction by the
                          lens.                                                     For your information
                                 Ray 1                                          You can compare lenses simply
                                                        Ray 1
                                           Ray 2                                by looking at them.
                                        F                     F                 A lens with a long focal length
                     Object                                                     is thin; its surfaces are not very
                                          Ray 3                                 strongly curved.
                                                       Ray 3       Real
                                                                                A lens with a short focal length
                                                                   image
                                                                                is fatter; its surfaces are more
                                             f          f                       strongly curved.
                                       Fig. 12.23: Convex Lens

                   The ray diagram for concave lens is shown in Fig.12.24.


                                                           Ray 1
                                   Ray 1
                                                                                       Physics insight
                                                         Ray 3

                     Object          F   Virtual                F
                                         image         Ray 2

                                                                                A  converging  lens  becomes  a
                                              f          f                      magnifying glass when an object
                                                                                is located inside the lens's focal
                                      Fig. 12.24: Concave Lens
                                                                                length.
                   Image Formation in Convex Lens
                   In class VIII, we have learnt image formation by lenses. Let us
                   briefly revise image formation by convex lens (Fig.12.25).
                                (a) Object beyond 2F                                  Physics insight

                                  Object                   F     2F
                                      2F     F                 Image                             F
                                                                                    F

                    The image is between F and 2F, real, inverted, smaller than the object.
                        (b) Object at 2F                                        A diverging lens always has the
                                                                                same ray diagram, which forms
                              Object              F       2F                    a smaller image.
                            2F      F                      Image




                         The image is at 2F, real, inverted, the same size as the object.
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