1003170803

Loudness refers to how loud or soft a sound seems to a listener. The loudness \( L \) of sound in decibels, (\( \mathrm{dB} \)) is determined by the formula \[ L=10\log{⁡\left(\frac I{I_0}\right)}, \] where \( I \) is intensity of the sound waves (in watts per square meter, \( \mathrm{W}/\mathrm{m}^2 \)) and \( \mathrm{I}_0 \) is fixed and determined intensity of the sound (\( 10^{-12}\,\mathrm{W}/\mathrm{m}^2 \)) that can barely be perceived. \[ \] The intensity of the sound produced by the rock band is about \( 100 \) times greater than the intensity of the sound emitted by conventional motor vehicles. How much greater (in \( \mathrm{dB} \)) is loudness of rock band than loudness of motor vehicles?