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If two liquids of same masses but densities ρ1 and ρ2 respectively are mixed, then density of mixture is given by

Correct answer: C. ρ = 2ρ1ρ2 / (ρ1 + ρ2)

  • A. ρ = (ρ1 + ρ2) / 2
  • B. ρ = (ρ1 + ρ2) / (2ρ1ρ2)
  • C. ρ = 2ρ1ρ2 / (ρ1 + ρ2)
  • D. ρ = ρ1ρ2 / (ρ1 + ρ2)

Explanation

When two liquids of equal masses are mixed, the density of the mixture can be determined by considering the conservation of mass. Since the masses are equal, each liquid contributes equally to the volume. The correct formula, ρ = 2ρ1ρ2 / (ρ1 + ρ2), accounts for this by considering the harmonic mean of the densities. The other options are incorrect because they either use incorrect averaging methods or do not appropriately apply the principles of mass and volume conservation.

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About Fluid Dynamics

Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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