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(A) At the same horizontal level in a continuous static fluid,the pressure is the same. Let the pressure at point $D$ (in the oil column) be $P_1$ and

Vedclass · Accepted Answer

$\frac{h_2}{h_1}$

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(A) At the same horizontal level in a continuous static fluid,the pressure is the same. Let the pressure at point $D$ (in the oil column) be $P_1$ and at point $B$ (in the water column) be $P_2$.$P_1 = P_2$$P_0 + ho_{	ext{oil}} \cdot g \cdot h_1 = P_0 + ho_{	ext{water}} \cdot g \cdot h_2$Where $P_0$ is the atmospheric pressure,$ho_{	ext{oil}}$ is the density of oil,and $ho_{	ext{water}}$ is the density of water.$ho_{	ext{oil}} \cdot g \cdot h_1 = ho_{	ext{water}} \cdot g \cdot h_2$$\frac{ho_{	ext{oil}}}{ho_{	ext{water}}} = \frac{h_2}{h_1}$The relative density of oil is defined as the ratio of the density of oil to the density of water.Therefore,the relative density of oil is $\frac{h_2}{h_1}$.

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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