Page 246 - text book form physics kssm 2020
P. 246

Solving Problems Involving Refraction of Light

                   Example 1

                  Figure 6.14 shows a light ray travelling from air into a
                  plastic block at an angle of 60°. The refractive index of              60°
                  plastic is 1.49.                                                               Air
                  Calculate:                                                           r         Plastic
                  (a)  angle of refraction, r.
                  (b)  speed of light in plastic.

                    Solution:                                                       Figure 6.14

                             sin i                                  c
                  (a)    n =                                (b)  n =
                             sin r                                  v
                             sin i                              v =   c
                      sin r =
                              n                                     n
                                                                    3.0 × 10 8
                             sin 60°                              =
                           =                                          1.49
                              1.49
                                                                            8
                                                                  = 2.01 × 10  m s –1
                                –1
                         r = sin     sin 60°
                                    1.49
                           = 35.54°


                  Example 2

                  When a coin inside a beaker containing a solution is observed, image of the coin is seen at a
                                2
                  height equal to   of the depth of the solution. What is the refractive index of the solution?
                                7
                    Solution:
                                                                                 Solution
                  Based on Figure 6.15,
                                         2
                  Apparent depth, h = H −   H
                                         7
                                     5                                                            2
                                                                                                  –
                                   =    H                                                   h = H –    H
                                     7                                                            7
                                                H                          H
                  Refractive index of solution, n =
                                                h                               Image of coin
                                                 H                                             2
                                                                                               7
                                              = 5                                              – H
                                                  H
                                                7
                                                7                                           Coin
                                              =
                                                5                                  Figure 6.15
                                              = 1.4




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                  240                                                                             6.1.7
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