What is the maximum possible sound level in dB of sound waves in air? Given that density of air is `1.3(kg)/(m^3)`, `v=332(m)/(s)` and atmospheric pressure `P=1.01xx10^5(N)/(m^2)`.

Explanation

For maximum possible sound intensity, maximum pressure amplitude of wave can be at most equal to atmospheric pressure, so we have,
`trianglep_0=p=1.01xx10^5(N)/(m^2)`
`I=(trianglep_0^2)/(2rhov)=((1.01xx10^5)^2)/(2xx1.3xx332)=1.18xx10^7(W)/(m^2)`
Thus loudness level is
`L=10log((I)/(I_0))=log_(10)((10^7)/(10^(-12)))=190dB`