A) 2
B) 4
C) \[\frac{1}{2}\]
D) 1
Correct Answer: A
Solution :
Sabine formula for reverberation time is where V is volume of hall in \[{{m}^{3}}.\] \[\sum{aS}={{a}_{1}}{{S}_{1}}+{{a}_{2}}{{S}_{2}}+...\] = 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, \[T'=2T=2\times 1=2\,s\]
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