In a u-tube as shown in figure, water and oil are in the left side and right side of the tube respectively. The heights from the bottom for water and oil columns are 15 cm and 20 cm respectively. The density of the oil is : [take $ρ$ _water = 1000 kg /m³ ]

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1333 kg/m³

1000 kg/m³

1200 kg/m³

750 kg/m³

answer is B.

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Detailed Solution

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In equilibrium,
Pressure at A = Pressure at B.

$\Rightarrow P_{a} + ρ_{w} g h_{w} = P_{a} + ρ_{o} g h_{o}$
$\begin{array}{l} \Rightarrow P_{a} + 0 .15 \times 10^{3} \times g = P_{a} + 0 .20 \times d_{o} g \\ \Rightarrow d_{0} = \frac{0 .15 \times 10^{3}}{0 .20} = 0 .75 \times 10^{3} \\ = 750 kg / m^{3} \end{array}$