A) 2
B) 4
C) \[\frac{1}{2}\]
D) 1
Correct Answer: A
Solution :
Sabines formula for reverberation time is \[T=\frac{0.16V}{\Sigma a\,s}\]where V is volume of hall in \[{{m}^{3}}\]. \[\Sigma as={{a}_{1}}{{s}_{1}}+{{a}_{2}}{{s}_{2}}+........=\]total absorption of the hall (room) Here, \[{{s}_{1}},{{s}_{2}},{{s}_{3}}...........\]are surface areas of the absorbers and \[{{a}_{1}},{{a}_{2}},{{a}_{3}}...........\] are their respective absorption coefficients. \[\therefore \] \[\frac{T}{T}=\frac{V}{s}\times \frac{s}{V}\] \[=\frac{{{(2)}^{3}}}{{{(2)}^{2}}}=\frac{8}{4}=2\] Hence, \[T=2T=2\times 1=2s\]
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