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Physics Semester 3  STPM  Chapter 21 Sound Waves

                      (iii)  By what percentage should the piano tuner change the tension in the
                         string to bring it into tune?
                            State whether the change is an increase or decrease.

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                Answer
                   (a)  Beats  are the periodic and repeating fluctuations in the intensity of a
                       sound when two sound waves of very similar frequencies interfere with
                       one another.
                       Conditions: Sound waves of slight difference in frequencies, and equal or
                       approximately equal amplitudes.

                   (b)  (i)  f 2  – 523 = 3.00 Hz,   or   523 – f 2   =  3.00 Hz
                                f 2   = 526 Hz   or     f 2   =  520 Hz

                       (ii)  f 2  =   1     T    when T is increased, f 2  increased.
                               2L  μ
                           Beat frequency increases to 4.00 Hz.
                           Therefore correct equation is f ' 2  – 523 = 4.00 Hz
                           Hence new frequency of string f ' 2  = 527 Hz

                                 1                   1   T
                        (iii)    f ' 2  =      T' 2  = 527 Hz , f =      = 523 Hz
                                 2L   μ             2L   μ
                            T     523  2
                                =     
                            T' 2  527
                               T =  0.985 T' 2
                             Tension in the string should be reduced by 1.5%.




                 21.5 Doppler Effect


                 Section  A   Multiple-choice Questions

                Question 1
                                                                –1
                  A police car with its siren on travelled at a speed of 20 m s  toward an observer.
                  The frequency of the siren is 900 Hz.  What is the frequency heard by the   Semester
                                                     –1
                  observer? (Speed of sound in air is 330 m s ).
                  A  845 Hz                      C  954 Hz
                  B  849 Hz                      D  958 Hz                            3



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         021 STPM Q&A Physics T3.indd   417                                  17/02/2022   10:24 AM
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