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of less energy (amplitude). If we hit the table   Example 11.1 A sound wave has a
              hard we hear a louder sound. Can you tell            frequency of 2 kHz and wave length
              why? A sound wave spreads out from its               35 cm. How long will it take to travel
              source. As it moves away from the source its         1.5 km?
              amplitude as well as its loudness decreases.
              Louder sound can travel a larger distance as      Solution:
              it is associated with higher energy. Fig. 11.8        Given,
              shows the wave shapes of a loud and a soft            Frequency, ν = 2 kHz = 2000 Hz
              sound of the same frequency.
                                                                    Wavelength, λ = 35 cm = 0.35 m
                 The quality or timber of sound is that
                                                                    We know that speed, v of the wave
              characteristic which enables us to distinguish
                                                                       = wavelength  ×  frequency
              one sound from another having the same pitch           v = λ ν
              and loudness. The sound which is more
                                                                       = 0.35 m   2000 Hz = 700 m/s
              pleasant is said to be of a rich quality. A sound     The time taken by the wave to travel a
              of single frequency is called a tone. The sound
                                                                    distance, d of 1.5 km is
              which is produced due to a mixture of several
              frequencies is called a note and is pleasant to
              listen to. Noise is unpleasant to the ear! Music
              is pleasant to hear and is of rich quality.           Thus sound will take 2.1 s to travel a
                                                                    distance of 1.5 km.
              Q      1. Which wave property determines         Q    uestions
                   uestions


                         (a) loudness, (b) pitch?
                                                                      1. What are wavelength, frequency,
                     2. Guess which sound has a higher
                                                                          time period and amplitude of a
                         pitch: guitar or car horn?
                                                                          sound wave?
                                                                          frequency of a sound wave
                 The speed of sound is defined as the                 2. How are the wavelength and
              distance which a point on a wave, such as a                 related to its speed?
              compression or a rarefaction, travels per unit          3. Calculate the wavelength of a
                                                                          sound wave whose frequency is
              time.                                                       220 Hz and speed is 440 m/s in
              We know,                                                    a given medium.
                 speed, v = distance / time
                                                                      4. A person is listening to a tone of
                             l                                            500 Hz sitting at a distance of
                          =
                             T                                            450 m   from the source of the
                                                                          sound. What is the time interval
              Here λ is the wavelength of the sound wave. It              between successive compressions
              is the distance travelled by the sound wave in              from the source?
              one time period (T) of the wave. Thus,
                                                                  The amount of sound energy passing each
                                                               second through unit area is called the intensity
                            v = λ ν
                                                               of sound. We sometimes use the terms
                                                               “loudness” and “intensity” interchangeably,
                     or      v = λ ν                           but they are not the same. Loudness is a
              That is, speed = wavelength ×  frequency.        measure of the response of the ear to the sound.
                  The speed of sound remains almost the        Even when two sounds are of equal intensity,
              same for all frequencies in a given medium
                                                               we may hear one as louder than the other
              under the same physical conditions.              simply because our ear detects it better.



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