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Q      U      E      S     T      I    O      N       S


                 1.   A ray of light travelling in air enters obliquely into water. Does the light
                      ray bend towards the normal or away from the normal? Why?

                 2.   Light enters from air to glass having refractive index 1.50. What is the
                                                                                    8
                                                                                         –1
                      speed of light in the glass? The speed of light in vacuum is 3 × 10  m s .
                 3.   Find out, from Table 9.3, the medium having highest optical density.     ?
                      Also find the medium with lowest optical density.
                 4.   You are given kerosene, turpentine and water. In which of these does
                      the light travel fastest? Use the information given in Table 9.3.
                 5.   The refractive index of diamond is 2.42. What is the meaning of this
                      statement?


                                     9.3.3 Refraction by Spherical Lenses

                                     You might have seen watchmakers using a small magnifying glass to
                                     see tiny parts. Have you ever touched the surface of a magnifying glass
                                     with your hand? Is it plane surface or curved? Is it thicker in the middle
                                     or at the edges? The glasses used in spectacles and that by a watchmaker
                                     are examples of lenses. What is a lens? How does it bend light rays? We
                                     shall discuss these in this section.
                                         A transparent material bound by two surfaces, of which one or both
                                                            surfaces are spherical, forms a lens. This means
                                                            that a lens is bound by at least one spherical
                                                            surface. In such lenses, the other surface would
                                                            be plane.    A lens may have two spherical
                                                            surfaces, bulging outwards. Such a lens is called
                                                            a double convex lens. It is simply called a convex
                                                            lens. It is thicker at the middle as compared to
                                                            the edges. Convex lens converges light rays as
                                                            shown in Fig. 9.12 (a). Hence convex lenses are
                                  (a)
                                                            also called converging lenses.  Similarly, a double
                                                            concave lens is bounded by two spherical
                                                            surfaces, curved inwards.  It is thicker at the
                                                            edges than at the middle. Such lenses diverge
                                                            light rays as shown in Fig. 9.12 (b). Such lenses
                                                            are also called diverging lenses. A double concave
                                                            lens is simply called a concave lens.
                                                                A lens, either a convex lens or a concave lens,
                                  (b)                       has two spherical surfaces. Each of these surfaces
                                                            forms a part of a sphere. The centres of these
              Figure  9.12
              Figure
              Figure 9.129.12
              Figure 9.12
              Figure 9.12
              (a) Converging action of a convex lens, (b) diverging  spheres are called centres of curvature of the lens.
              action of a concave lens                      The centre of curvature of a lens is usually
                                                            represented by the letter C.  Since there are two
                                     centres of curvature, we may represent them as C  and C . An imaginary
                                                                                      1      2
                                     straight line passing through the two centres of curvature of a lens is
                                     called its principal axis. The central point of a lens is its optical centre. It is
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