Discussion
The resultant of two noise levels of 50 dB and 55 dB is
Answer: D
Sound levels do not add directly in decibels; the intensities add. The resultant of 50 dB and 55 dB is found by converting each level to intensity, adding, and converting back.
\[ L = 10 \log_{10}\left(10^{5} + 10^{5.5}\right) \]\[ L = 10 \log_{10}(416228) \approx 56.19\ dB \]Adding 50 and 55 gives 105 dB, which is wrong. The option 58 dB and the others do not fit the logarithmic sum.
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