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NEETPhysicsMechanical Properties of Fluids

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

Options

  1. A1250 kg m ⁻³
  2. B80 kg m ⁻³
  3. C800 kg m ⁻³
  4. D1000 kg m ⁻³

Correct answer

C. 800 kg m ⁻³

Step-by-step solution

At the common interface level, the hydrostatic pressure exerted by both liquid columns must be equal. P_ water = P_ liquid _ water g h_ water = _ liquid g h_ liquid 1000 20 = _ liquid 25 _ liquid = 1000 20 25 = 800 kg m ⁻³ Answer: 800 kg m ⁻³

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