$($a$)$ If two sound waves, one in a gas medium and one in a liquid medium, are equal in intensity, what is the ratio of the pressure amplitude of the wave in the liquid to that of the wave in the gas? Assume that the density of the gas is $1\mathrm{.}69$ kg$/$m$3$ and the density of the liquid is $1200$ kg$/$m$3.$ The speed of sound is $398$ m$/$s in the gas medium and $1270$ m$/$s in the liquid. $($b$)$ If the pressure amplitudes are equal instead, what is the ratio of the intensities of the waves $($of the one in the liquid to that in the gas$)?$