A U tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with…

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____ρw=1000 kg m-3
  1. 650 kg m-3
  2. 425 kg m-3
  3. 800 kg m-3
  4. 928 kg m-3

Solution

Pressure in a stationary liquid at the same level is the same everywhere. As both ends of the tube are open, the pressure on both free surfaces should be equal.
hoil ρoil g=hwater  ρwaterg 
140×ρoil=130×ρwater
ρoil=928 kg m-3. .

Asked in: NEET 2017

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