In a $U-$ tube experiment, a column $AB$ of water is balanced by a column $‘CD’$ of oil, as shown in the figure. Then the relative density of oil is
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$P_{1}=P_{2}$
$\mathrm{P}_{\mathrm{o}}+\rho_{\mathrm{oil}} \times \mathrm{g} \times \mathrm{h}_{1}=\mathrm{P}_{\mathrm{o}}+\rho_{\mathrm{w}} \times \mathrm{g} \times \mathrm{h}_{2}$
$\frac{\rho_{\text {oil }}}{\rho_{\mathrm{w}}}=\frac{\mathrm{h}_{2}}{\mathrm{h}_{1}}$
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