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Refraction and dispersion of light

             Questions
             (a) Why does the sunlight shining through water drops make a rainbow?
             (b) Why must you stand with your back toward the sun to see a rainbow?

             (c) Can a person standing beside you also see the rainbow?

          FOR ONLINE READING ONLY
           When you look at a rainbow, you see seven colours. They are always in the same order.
           That is red, orange, yellow, green, blue, indigo, and violet. An easy way to remember
           the colours and the order is to think of the name ROYGBIV, spelt from the first letter
           of each colour.


           Primary rainbow
           This rainbow forms at an angle of approximately 40° to 42° from the antisolar point. The
           light undergoes one internal reflection within the water droplets (see Figure 5.18(a)),
           creating the primary rainbow we observe. It is the brightest and most common rainbow
           with  the red colour being on the outside (on top) and the violet colour in the inside
           (bottom);

                  Beam of white light                                        R'
                                       Raindrop
                                                                              V'    v  R
                                                         White sunlight
                                                                                Violet

                     Violet                                                     Red


                      Red    Rainbow                            = 51° 180  = 54° 180
           Observer on                                         θ  R  θ  V  Observer on the ground
           the ground
                         (a) Primary rainbow                 (b) Secondary rainbow

                                       Figure 5.18: Types of rainbows

           Secondary rainbow                          interaction of light with water droplets,
           A  secondary  rainbow  forms  outside  a   demonstrating  how  multiple  reflections
           primary  rainbow, resulting  from light    alter the path and appearance of the light.
           undergoing  two  internal  reflections
           within  raindrops (see Figure 5.18(b)).    Recombining colours of white light
           This double reflection causes the colours   We have seen that upon falling on a
           of the secondary rainbow to appear in      transparent medium such as a triangular
           reverse order compared to the primary      glass prism or water droplet, white light
           rainbow. The secondary rainbow is also     splits into its colour components. What
           considerably fainter than the primary one.   happens when the components of white
           This phenomenon showcases the complex      light are passed through a second prism


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     Physics Form 2 Final.indd   183                                                        25/10/2025   10:28
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