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

Options

A. `1//2`
B. `1`
C. `2`
D. `4`

Answer

C

Explanation

Reverberation time `T = (0.61 V)/(a S)`
`V`: volume, `S`: surface area
`a`: coefficient of absorption
`T_(1)/T_(2)=(V_(1)/V_(2))(S_(2)/S_(1))=(V/(8V))((4S)/S)=1/2`
`T_(2)=2T_(1)=2xx1=2s`