Below is my solution, but the answer apparently should be 7.65 dB instead of 4.7
ID: 1391194 • Letter: B
Question
Below is my solution, but the answer apparently should be 7.65 dB instead of 4.77 dB, so I am not sure what I did wrong.
Two sound sources, which emit sounds of wavelength 1 meter and are operating in phase, are separated by a distance of 2 meters. Source A has a power output of 10 Watts and source B an output of 20 Watts. In the first case, only source A is on. In the second case, both sources are on. Calculate the difference in intensity level between the first and second cases at a point on the perpendicular bisector of the line joining the two sources and two meters from this line. (Note. Pressure is not a vector, so even though the waves are not traveling parallel to each other, the amplitudes are not to be added vectorially. Pressure is treated as a vector only in adding pressure amplitudes to allow for phase differences in waves).Explanation / Answer
Dear student, as I see it the solution you suggested above is clearly very well set up and the process you followed to conceive it is just perfect, leading this way to no mistake in the final answer you got of 4.77 db. Note that some books don't necessarily have all their answers correct. I dare to say with 100 percent of confidence that the solution you posted is completely correct.
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