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NEET 2017
Exam
NEET
Year
2017
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET 2017 · Physics · Mechanical Properties of Fluids

A U tube with both ends open to the atmosphere is partially filled...

A UU 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 10mm10mm above the water level on the other side. Meanwhile, the water rises by 65mm65mm from its original level (see diagram). The density of the oil is____\left({ρ}_{w} = 1000kg{m}^{- 3}\right)
A U tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is

Options

  1. A650kgm−3650kg{m}^{- 3}
  2. B425kgm−3425kg{m}^{- 3}
  3. C800kgm−3800kg{m}^{- 3}
  4. D928kgm−3928kg{m}^{- 3}

Correct answer

D. 928kgm−3928kg{m}^{- 3}

Step-by-step 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.

hoilρoilg=hwaterρwaterg{h}_{oil}{ρ}_{oil}g = {h}_{water}{ρ}_{water}g

140×ρoil=130×ρwater140 \times {ρ}_{oil} = 130 \times {ρ}_{water}

ρoil=928kgm−3{ρ}_{oil} = 928kg{m}^{- 3}.
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