Question

Find the intensity of a 55 dB sound given I 0=10^-12W/m^2

2.23x10^-6W/m^2
1.01x10^-7W/m^2
3.16x10^-7W/m^2
5.43x10^-6W/m^2

Answer 1

3.16 ×
`10^(-7)` W/
`m^(2)`

Step-by-step explanation:

β(dB)=10 ×
`log_(10)((I)/(I_(0) ))`

`I_(0)`=
`10^(-12)` W/
`m^(2)`

β=55 dB

Therefore plugging into the equation the values,

55=10
})[/tex]

5.5=
})[/tex]

`10^(5.5)`=
`(I)/(10^(-12) )`

316227.76×
`10^(-12)`= I

I= 3.16 ×
`10^(-7)` W/
`m^(2)`