Using the loudness formula, it is found that the approximate loudness of a rock concert with a sound intensity of [tex]10^{-1}[/tex] is of 110 dB.
It is given by:
[tex]L = 10\log{\left(\frac{l}{l_0}\right)}[/tex]
In which [tex]l = 10^{-12}[/tex] is least intense sound a human ear can hear and l is the intensity.
In this problem, we have that the intensity is of [tex]l = 10^{-1}[/tex], hence:
[tex]L = 10\log{\left(\frac{l}{l_0}\right)}[/tex]
[tex]L = 10\log{\left(\frac{10^{-1}}{10^{-12}}\right)}[/tex]
[tex]L = 10\log{10^{11}}[/tex]
L = 10 \times 11
L = 110 dB.
More can be learned about the loudness formula at https://brainly.com/question/15854375
#SPJ1
