A U tube with both ends open to the atmosphere, is partially filled… | NEET 2017

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Pressure in a Fluid

A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level (see diagram). The density of the oil is

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Answer: (c)

Water rises 65 mm on one side and falls 65 mm on the other, so take level BC at the oil-water interface.
Water column above BC: $65 + 65 = 130\text{ mm}$ . Oil column above BC: $130 + 10 = 140\text{ mm}$ .
Equal pressure at B and C: $\rho_o\times140 = 1000\times130$
$\rho_o = 928.6 \approx 928\text{ kg m}^{-3}$
So the answer is (c).

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