While testing speakers for a concert, Tomas sets up two speakers to produce soun

Question

While testing speakers for a concert, Tomas sets up two speakers to produce sound waves at the same frequency, which is between 100 Hz and 150 Hz. The two speakers vibrate in phase with one another. He notices that when he listens at certain locations, the sound is very soft (a minimum intensity compared to nearby points). One such point is 25.8 m from one speaker and 37.1 m from the other. What are the possible frequencies of the sound waves coming from the speakers? (The speed of sound in air is 343 m/s.)

Explanation / Answer

Distance from one point S = 25.8 m Distance from another S ' = 37.1 m Path difference D = S ' - S                             =11.3 m Speed of sound in air v = 343 m / s If the path difference = / 2 then we occured minimumintensity. from this wavelength = 2 * 11.3 = 22.6 m frequency f = v /                   = 15.17 Hz Therefore possible frequencies are : 7 f , 8 f ,9f , 10 f,11f                                           :106.23Hz , 121.41 Hz , 136.59 Hz , 151.7 Hz , 166.94Hz,182.12Hz,197.3Hz                    

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