The sound emitted by a source reaches a particular position with an intensity `I_(1)` . What is the change in intensity level when another identical source is placed next to the first ( there is no fixed phase relation between the sources.)

Explanation

If the initial and final intensities are `I_(1) and I_(2)` , then the two intensity levels are
`beta_(1) = 10 "log" (I_(1))/(I_(0)), b_(2) = 10 "log" (I_(2))/(I_(0))`
The change in level is
`beta_(2) - beta_(1) = 10 "log" (I_(2))/(I_(1))`
` 10 log 2 = 3 dB`
Thus, when the intensity doubles the intensity level changes by 3 dB. The response of the ear roughly corresponds to this logarithmic scale. The smallest change in level that can be