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NEET
Exam
NEET
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET · Physics · Mechanical Properties of Fluids

A U-tube contains water and an unknown immiscible liquid in...

A U-tube contains water and an unknown immiscible liquid in equilibrium. The height of the water column is 20 cm20\text{ cm} and the height of the unknown liquid column is 25 cm25\text{ cm} above the common interface level. If the density of water is 1000 kg m−31000\text{ kg m}^{-3}, what is the density of the unknown liquid?

Options

  1. A1250 kg m−31250\text{ kg m}^{-3}
  2. B80 kg m−380\text{ kg m}^{-3}
  3. C800 kg m−3800\text{ kg m}^{-3}
  4. D1000 kg m−31000\text{ kg m}^{-3}

Correct answer

C. 800 kg m−3800\text{ kg m}^{-3}

Step-by-step solution

At the common interface level, the hydrostatic pressure exerted by both liquid columns must be equal.

Pwater=PliquidP_{\text{water}} = P_{\text{liquid}}

ρwaterghwater=ρliquidghliquid\rho_{\text{water}} g h_{\text{water}} = \rho_{\text{liquid}} g h_{\text{liquid}}

1000×20=ρliquid×251000 \times 20 = \rho_{\text{liquid}} \times 25

ρliquid=1000×2025=800 kg m−3\rho_{\text{liquid}} = \dfrac{1000 \times 20}{25} = 800\text{ kg m}^{-3}

Answer: 800 kg m−3800\text{ kg m}^{-3}
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