When a loud sharp sound is played in a room, the sound reverberates around the room until it gradually dies away. The reverberation time T for a room of volume V having surface area A is given by the expression
T=aAkV
Where k is a constant and a is a measure of the mean sound absorption by the surfaces.
If two rooms of identical shape and with walls of the same material, are tested for reverberation time, then for a room which is ten times longer, by what factor will the reverberation time be greater than for the smaller room?
A. 1000
B. 100
C. 10
D. it depends upon the other dimensions of the rooms