The time of reverberation of a room A is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room A ?

Step-by-step solution

Sabine formula for reverberation time is T= 0.16 ~V a S where V is volume of hall in m ^3 . a S=a₁ S₁+a₂ S₂+ = total absorption of the hall (room) Here, S₁, S₂, S₃ are surface areas of the absorbers and a₁, a₂, a₃ . . are their respective absorption coefficients. T^ T = V^ S^ S V = (2)^3 (2)^2 = 8 4 =2 Hence, T^ =2 T=2 1=2 ~s