In the figure, two speakers separated by distance d1 = 1.80 m are in phase. You are standing 4.00 m directly in front of one speaker. Each speaker has an output power of 1.20 W. Because the speakers are at different distances, there will be frequencies at which the sound from the speakers interferes destructively. But because the speakers are at different distances, the sound intensities
In the figure, two speakers separated by distance d1 = 1.80 m are in phase. You are standing 4.00 m directly in front of one speaker. Each speaker has an output power of 1.20 W. Because the speakers are at different distances, there will be frequencies at which the sound from the speakers interferes destructively. But because the speakers are at different distances, the sound intensities will not be the same, so the destructive interference will not be complete. We want to find the sound level when there is destructive interference. Use 343 m/s for the speed of sound in air.
Additional Knowns:
The lowest frequency that gives minimum signal (destructive interference) at your ear = 444.3 Hz
The second lowest frequency that gives minimum signal = 1332.9 Hz
The intensity from the near speaker = 0.005968 W/m^2
The sound level from the near speaker = 97.7585 dB
a) What is the intensity from the far speaker (in W/m^2)?
b) What is the combined intensity during destructive interference? Because the sources are coherent, amplitudes add but intensities do not.
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