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A woman stands a distance $d$ from a loud motor that emits sound uniformly in all directions. The sound intensity at her position i uncomfortable $2\mathrm{.}1{10}^{-3}\frac{W}{m^2}.$ At a distance $2\mathrm{.}5$ times as far from the motor, what are $($a$)$ the sound intensity and $($b$)$ the sound intensity level relative to the threshold of hearing?

$($a$)$ Number $1$

Units

$\frac{W}{m^2}$

$$

$($b$)$ Number $$ Units

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Knowns and Unknowns The data for this problem are listed below:

$\backslash$table$[[$Description$,$Symbol,Value,Comment$],[$Explicit Data,,,$],[$Sound intensity at first,$I_1,$See,$]]$