Answer
The correct answer is:
(d) $1.0\times 10^{-2}~W/m^2$
Work Step by Step
We can find the intensity when the sound level is 100 dB:
$10~log~\frac{I}{I_0} = \beta$
$10~log~\frac{I}{I_0} = 100$
$log~\frac{I}{I_0} = 10$
$\frac{I}{I_0} = 10^{10}$
$I = 10^{10}~I_0$
$I = 10^{10}~(1.0\times 10^{-12}~W/m^2)$
$I = 1.0\times 10^{-2}~W/m^2$
The correct answer is:
(d) $1.0\times 10^{-2}~W/m^2$
