A whisper in a quiet library is about 30 decibels What decib

A whisper in a quiet library is about 30 decibels. What decibel level would be recorded by a table of 100 library patrons each whispering at 30 decibels?

Solution

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Since Whisper in a quiet library = 30 dB

=> 30 = log10 (P / P0) where is present sound intensity and P0 is initial sound intensity

=> P = P0 * 10^30

Now for 100 patrons P\' = 100P

= 100 * P0 * 10^30

=> P\' / P0 = 10^32

log ₁₀ (P/P0) = log ₁₀ 10^32

= 32 decibels ......Aswer