Question

the sound level from one loud speaker is 100 dB. the sound level from a second loudspeaker is also 100 dB. what is the sound level when both are on at the same time?1)93 dB(A)2)200 dB3)93 dB

Answer 1

103.01 dB

Step-by-step explanation:

To add the sound level of two speakers, we need to use the following formula

`10\log (10^{(x)/(10)}+10^{(y)/(10)})`

Where x and y are the decibels of the speakers. So, replacing x and y by 100 dB, we get:

`\begin{gathered} 10\log (10^{(100)/(10)}+10^{(100)/(10)}) \\ 10\log (10^(10)+10^(10)_{}) \\ 103.01 \end{gathered}`

The sound level when both are on at the same time is 103.01 dB