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NEET2026PhysicsChapterActual

A pressure sensor attached to the base of a large storage tank filled with a liquid of density 2000 kg m ⁻³ records an absolute pressure of 5.0 10⁵ Pa . Taking atmospheric pressure as 1.0 10⁵ Pa and acceleration due to gravity g = 10 m/s ² , what is the height of the liquid column in the tank?

Options

  1. A25 m
  2. B30 m
  3. C20 m
  4. D5 m

Correct answer

C. 20 m

Step-by-step solution

The absolute pressure at the base of the tank is given by the relation: P = P₀ + g h where P is the absolute pressure, P₀ is the atmospheric pressure, is the density of the liquid, g is the acceleration due to gravity, and h is the height of the liquid column. Substituting the given values: 5.0 10⁵ = 1.0 10⁵ + (2000)(10)h 4.0 10⁵ = 20000 h h = 4.0 10⁵ 2.0 10⁴ h = 20 m Answer: 20 m

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