Physics - Sound Wave Question with Solution | TestHub

${\mathit{\text{L}}}_1=\text{10}\text{ log }\left(\frac{{\mathit{\text{I}}}_1}{{\mathit{\text{I}}}_0}\right)$;${\mathit{\text{L}}}_2=\text{10}\text{ log }\left(\frac{{\mathit{\text{I}}}_2}{{\mathit{\text{I}}}_0}\right)$

$\therefore$${\mathit{\text{L}}}_1-{\mathit{\text{L}}}_2=\text{10}\text{ log }\left(\frac{{\mathit{\text{I}}}_1}{{\mathit{\text{I}}}_0}\right)-\text{10}\text{ log }\left(\frac{{\mathit{\text{I}}}_2}{{\mathit{\text{I}}}_0}\right)$

or$\Delta \mathit{\text{L}}=\text{10}\text{ log }\left(\frac{{\mathit{\text{I}}}_1}{{\mathit{\text{I}}}_2}\right)$or$\text{ 20}\text{ dB }=\text{10}\text{ log }\left(\frac{{\mathit{\text{I}}}_1}{{\mathit{\text{I}}}_2}\right)$

or${\text{10}}^2=\frac{{\mathit{\text{I}}}_1}{{\mathit{\text{I}}}_2}$or${\mathit{\text{I}}}_2=\frac{{\mathit{\text{I}}}_1}{\text{100}}$.