A copper block is suspended from a wire, as in part $1$ of the drawing. A container of mercury is then raised up around the block, as in part $2,$ so that $44\mathrm{.}0\%$ of the block's volume is submerged in the mercury. The density of copper is $8890k\frac{g}{m^3},$ and that of mercury is $13600k\frac{g}{m^3}.$ Find the ratio of the fundamental frequency of the wire in part $2$ to the fundamental frequency in part $1.$