A U shaped tube of constant cross-sectional area is filled with equal masses of oil and water. These do not mix and stay in the left and right parts of the tube respectively. The water has twice the density of the oil. The diagram best representing the case is (water is the darker shade on the left).

Engineering

Physics

Liquid Pressure

SI Units

Acceleration

Question

A U shaped tube of constant cross-sectional area is filled with equal masses of oil and water. These do not mix and stay in the left and right parts of the tube respectively. The water has twice the density of the oil. The diagram best representing the case is (water is the darker shade on the left).

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As masses are same interface can not lie in vertical limb.

At rest pressure at bottom level is same in both limbs.

$ρ_{w} {gy}_{w} = ρ_{o} {gy}_{o} \Rightarrow y_{w} = \frac{ρ_{0}}{ρ_{w}} y_{0} \Rightarrow y_{w} < y_{0}$ .