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The U-tube in figure contains two differ...

The U-tube in figure contains two different liquids in static equilibrium, water in the right arm and oil of unknown density `rho_(x)` in the left. If/=135 mm and d=15 mm. Density of the oil is

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If the pressure at the oil-water interface in the left-arm is P, then the pressure in the right armbat the level of the interface will also be P.
In the left arm,
`P=P_(0) + rho_(x)g(l+d)`…(i)
In the right arm
`P= P_(0) + rho_(w)gl`…(ii)
Equating (i) and (ii)
`rho_(x)=l/(l+D) rho_(w) = (135mm)/(135mm + 15mm) xx 1000kg//m^(3)`
`900kg//m^(3)`
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