Physics - Sound Wave Question with Solution | TestHub

Let intensity of sound be $I$ and $I^{\prime }$ Loudness of sound initially ${\beta }_1=10\log \left(\frac{I}{I_0}\right)$ Later, ${\beta }_2=10\log \left(\frac{I^{\prime }}{I_0}\right)$ Given, ${\beta }_2-{\beta }_1=20$ $\therefore 20=10\log \left(\frac{I^{\prime }}{I}\right)$ $\therefore I^{\prime }=100I$