Physics - Sound Wave Question with Solution | TestHub

Loudness,$\mathrm{L}=10{\log }_{10}\frac{\mathrm{I}}{{\mathrm{I}}_0}$

$60=10{\log }_{10}\frac{{\mathrm{I}}_1}{{\mathrm{I}}_0}$

$⟹\frac{{\mathrm{I}}_1}{{\mathrm{I}}_0}={10}^6 \mathrm{ }\dots \left(\mathrm{i}\right)$

similarly,$30=10\mathrm{ }{\mathrm{lig}}_{10}\frac{{\mathrm{I}}_2}{{\mathrm{I}}_0}$

$\frac{{\mathrm{I}}_2}{{\mathrm{I}}_0}={10}^3 \dots \left(\mathrm{ii}\right)$

Dividing Eq.$\left(\mathrm{i}\right)$by Eq.$\left(\mathrm{ii}\right)$, we get

$\frac{{\mathrm{I}}_1}{{\mathrm{I}}_2}=1000$