Question

What is reverberation time? Discuss sabine formula. 

Answer 1

The time taken by the sound to fall from its average intensity to inaudibility is called the reverberation time. It is also defined as time during which the sound intensity falls from its steady state value to its one-millionth value after the source is shut off 

∴ `I/I_0 = 10^(-6) `

SABINES FORMULA.

Sabines derived an expression for the reverberation time of a furnished hall as follows. The decay intensity is given by,

`I = I_0 e^(-KT)`

∴ `I/I_0 = 10^(-6) `

`\text{ Hence } , T=1/K log_e  I_0/ I = 2.303 / K log_10  I_0/I =2.303/kxx6`

Hence reverberation time is given by` T = 0.161 xx V/A`………………………..(1)

Hence equation (1) is called as sabines formula.