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Terminal velocity Vₜ = (ρ - σ)g. Vₜ₁ = 2 × (1)² / 9η (ρ₁ - 0.1ρ₂)g. Vₜ₂ = 2 × (2)² / 9η (ρ₂ - 0.1ρ₂)g. Vₜ₃ = 2 × (2)² / 9η (ρ₂ - 0.1ρ₂)g. Vₜ₁ / Vₜ₂ = 7.9 / 36.

  1. Vₜ₁ = 2 × (1)² / 9η (ρ₁ - 0.1ρ₂)g
  2. Vₜ₂ = 2 × (2)² / 9η (ρ₂ - 0.1ρ₂)g
  3. Vₜ₃ = 2 × (2)² / 9η (ρ₂ - 0.1ρ₂)g
  4. Vₜ₁ / Vₜ₂ = 7.9 / 36

Correct answer: Vₜ₁ / Vₜ₂ = 7.9 / 36

Solution

The given ratio Vₜ₁ / Vₜ₂ = 7.9 / 36 is explicitly stated in the question, making option D correct. The other options are equations that are already provided in the question and do not represent the final answer.

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