Page 185 - text book form physics kssm 2020
P. 185

Chapter 5
                                                                                                   Waves
                        Figure 5.13 illustrates the amplitude, points in phase and wavelength of a transverse wave.
                  Identify several other distances that are equal to one wavelength.

                        X               X          λ         X               X             Points in phase:
                         1               2                    3               4
                          A                                                               X , X , X  and X 4
                                                                                              2
                                                                                           1
                                                                                                3
                                    Y               Y                Y
                                     1               2                3
                                                                                           Y , Y  and Y
                                                                                            1  2   3
                                                                             Equilibrium    Z , Z  and Z
                                                                             position       1  2   3
                                Z               Z          λ         Z
                                 1               2                    3
                                                 Figure 5.13 A transverse wave
                       Figure 5.14 shows the points in phase and wavelength of a longitudinal wave. Can you
                  defi ne its wavelength in terms of compression or rarefaction?
                                 λ                         λ
                                                                                           Points in phase:

                      P        Q        P       Q        P       Q        P               P , P , P  and P
                       1        1        2       2        3       3        4               1  2  3  4
                                                                                          Q , Q  and Q
                                                                                            1  2   3
                    Compression Rarefaction Compression  Rarefaction Compression  Rarefaction Compression
                                                 Figure 5.14 A longitudinal wave

                        Figure 5.15 shows the profi le of a transverse       Direction of propagation
                  wave at one instance and aft er a period, T of the
                  wave. In time, t = T, the wave profi le propagates
                  through the same distance as the wavelength, λ.

                                                                     Wave profile at one instance
                                              Distance travelled by
                                                 a wave profi le
                    From the equation, speed =
                                                     Time
                                      λ
                    Speed of wave, v =                                                    λ
                                      T
                                      1
                                                                           Wave profile after time, t = T
                                    =   T  λ
                                         1                                  Figure 5.15 A wave profi le
                    Frequency of wave, f =
                                         T
                    Th  erefore, speed of wave, v = fλ










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                   5.1.4
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