PROBLEM $1$:The figure shows a U$-$shaped glass tube containing oil and water in mechanical equilibrium.

$y_1=h_1+h_2$

$y_2=h_1=200.mm$

$y_3=0\mathrm{.}0mm$

${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1000k\frac{g}{m^3}$

${}_{\text{o}\text{i}\text{l}}=920k\frac{g}{m^3}$

$P_1=P_2=P_{\text{a}\text{t}\text{m}}$

$h_2=$

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Determine $h_2.$