Suppose a $2\mathrm{.}40$ N force can rupture an eardrum having an area of $1\mathrm{.}11$ cm$2.$

$($a$)$ Calculate the maximum tolerable gauge pressure inside the eardrum $($in the middle ear$)$ in N$/$m$2.($Pressures in the middle ear may rise when an infection causes a fluid buildup. Use $13\mathrm{.}6103$ kg$/$m$3$ as the density of mercury.$)$

N$/$m$2$

Convert this value to mm Hg$.$

mm Hg

$($b$)$ At what depth in fresh water would this person's eardrum rupture, assuming the gauge pressure in the middle ear is zero?

m