Physics - Sound Wave Question with Solution | TestHub

Sabine formula for reverberation time is $T=\frac{0.16\mathrm{V}}{\Sigma aS}$ where $V$ is volume of hall in ${\mathrm{m}}^3$. $\Sigma aS=a_1{S}_1+a_2{S}_2+\dots$ $=$ total absorption of the hall (room) Here, $S_1,S_2,S_3\dots \dots$ are surface areas of the absorbers and $a_1,a_2,a_3\dots$. . are their respective absorption coefficients. $\therefore \frac{T^{\prime }}{T}=\frac{V^{\prime }}{S^{\prime }}\times \frac{S}{V}=\frac{(2{)}^3}{(2{)}^2}=\frac{8}{4}=2$ Hence, $T^{\prime }=2T=2\times 1=2\mathrm{s}$