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Power = rate of production of heat = F.V = 6πηr Vₜ. Vₜ = 6πηr Vₜ² (∴ F = 6πηr Vₜ stoke's formula). Vₜ ∝ r².

1. Power = rate of production of heat = F.V
2. 6πηr Vₜ
3. Vₜ = 6πηr Vₜ²
4. Vₜ ∝ r²

Correct answer: Vₜ ∝ r²

Solution

The terminal velocity (Vₜ) is proportional to the square of the radius (r²) as derived from Stoke's law. This relationship is correctly represented by option D.

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