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11.3.1 ECHO                                          What is the distance of the cliff from the
                                                                   person if the speed of the sound, v is
              If we shout or clap near a suitable reflecting       taken as 346 m s ?
                                                                                     –1
              object   such   as  a  tall  building   or  a
              mountain,we will hear the same sound              Solution:
              again a little  later. This sound which we
              hear is called an echo. The sensation of             Given,
              sound persists in our brain for about 0.1            Speed of sound, v = 346 m s  –1
              s. To hear a distinct echo the time interval         Time taken for hearing the echo,
              between    the  original   sound    and  the         t = 2 s
              reflected one must be  at least 0.1s. If we          Distance travelled by the sound
              take the speed of sound to be 344 m/s at a              = v × t = 346 m s × 2 s = 692 m
                                                                                      –1
              given temperature, say at 22 ºC in air, the          In 2 s sound has to travel twice the
              sound must go to the obstacle and reach
                                                                   distance between the cliff and the
              back the ear of the listener on reflection after     person. Hence, the distance between the
              0.1s. Hence, the total distance covered by
                                                                   cliff and the person
              the sound from the point of generation to
                                                                      = 692 m/2 = 346 m.
              the reflecting surface and back should be
              at least (344 m/s) × 0.1 s = 34.4 m. Thus,
              for hearing distinct echoes, the minimum              uestion
              distance of the obstacle from the source of
              sound must be half of this distance, that         Q     1. An echo is heard in 3 s. What is
              is, 17.2 m. This distance will change with                 the distance of the reflecting
              the temperature of air. Echoes may be heard                surface from the source, given that
                                                                                                       –1
              more than once due to successive or                        the speed of sound is  342 m s ?
              multiple reflections. The rolling of thunder
              is due to the successive reflections of the      11.3.3 USES   OF  MULTIPLE     REFLECTION
              sound from a number of reflecting surfaces,             OF SOUND
              such as the clouds and the land.
                                                                 1. Megaphones or loudhailers, horns,
              11.3.2 REVERBERATION                                   musical instruments such as trumpets
                                                                     and shehanais, are all designed to send
              A sound created in a big hall will persist
              by repeated reflection from the walls until            sound in a particular direction without
              it is reduced to a value where it is no longer         spreading it in all directions, as shown
              audible. The repeated reflection that                  in Fig 11.10.
              results in this persistence of sound is
              called reverberation. In an auditorium or
              big hall excessive reverberation is highly
              undesirable. To reduce reverberation, the
              roof and walls of the auditorium are
              generally covered with sound-absorbent
              materials like compressed fibreboard,                             Megaphone
              rough plaster or draperies. The seat
              materials are also selected on the basis of
              their sound absorbing properties.


                                                                                   Horn
               Example 11.2 A person clapped his hands
                   near a cliff and heard the echo after 2 s.       Fig 11.10:  A megaphone and a horn.


                  134                                                                                 SCIENCE





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