NEET 2017 · PhysicsManometerPrevious Year Question
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 figure). The density of the oil is:
Answer: (D) 928 kg m⁻³. Water rises 65 mm on one arm ⇒ it falls 65 mm on the oil arm; level difference of water = 130 mm.

- A.650 kg m⁻³
- B.425 kg m⁻³
- C.800 kg m⁻³
- D.928 kg m⁻³✓
Correct Answer
(D) 928 kg m⁻³
Solution & Explanation
Water rises 65 mm on one arm ⇒ it falls 65 mm on the oil arm; level difference of water = 130 mm. The oil column top is 10 mm above the higher water level ⇒ oil column height = 130 + 10 = 140 mm. Pressure balance at the oil–water interface: ρ_oil·g·(140) = ρ_water·g·(130) ρ_oil = 1000 × 130/140 ≈ 928 kg m⁻³.
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