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Physics for Secondary Schools


                                                      The  number  of images  will  increase  as
                                                      the  angle  between  the  mirrors  becomes
                                                      smaller. When the angle is 0,  the mirrors
                                                      are parallel to each other and the number
                                                      of images (n) is infinite. The number of
                                                      images formed in multiple mirrors relates
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                                                      to  the  angle  θ  between  two  mirrors,  as
                                                      follows:           360 !
                                                                     n =      −1,
               Figure 4.18: Plane mirrors placed at a                      θ
                                                                 !
                           right angle                For θ = 90 ,
                                                                         360
             5.  Observe and count the number of                     n   90    1, n   3
                images formed.
             6.  Reduce the angle by closing the      From the explanation above, we can see
                mirrors gradually onto each other,    that as the angle between the mirrors
                such that the angle between them is   decreases, the number of images
                60 , 45 , 30 and 0 .         Note that at   increases.  As the  angle  between  the
                0the mirrors are parallel to each    mirrors approaches  zero,  the  number  of
                other.                                images approaches infinity. That is, there
                                                      is a very large number of faint images.
             7.  Record your results using a table as   Parallel  mirrors are  commonly  used in
                shown in Table 4.2.                   salons and barbershops.

             Table 4.2: Number of images for various       Example 4.1
                               angles between the mirrors
                                                       An object is placed 2 cm from a plane
              Angle between  Number of                 mirror. If the object is moved by 1 cm
              the mirrors        images                toward the mirror, what will be the new
                    90                                distance between the object and the
                    60                                image?

                    45
                    30                                Solution
                     0                                Given an initial distance of the object
                                                       from the plane mirror = 2 cm and the

             Questions                                 object moves 1 cm toward the mirror:
             (a) What happened to the number of        Then, the new distance of the object
                images when the angle is reduced?      from the mirror = 2 cm – 1 cm = 1 cm.
             (b) Account for the number of images      Since in a plane mirror, the image  is
                formed in the mirror.                  formed at the same distance behind the



             138
                                                                         Student’s Book Form Two



     Physics Form 2 Final.indd   138                                                        25/10/2025   10:27
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