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Consider two solid spheres \( P \) and \( Q \) each of density \( 8 \mathrm{~g} \mathrm{~cm}^{-3} \) and diameters \( 1 \mathrm{~cm} \) and \( 0.5 \mathrm{~cm} \), respectively.
Sphere \( P \) is dropped into a liquid of density \( 0.8 \mathrm{~g} \mathrm{~cm}^{-3} \) and viscosity \( \eta=3 \) poiseuille. Sphere \( Q \) is dropped into a liquid of density \( 1.6 \mathrm{~g} \mathrm{~cm}^{-3} \) and viscosity \( \eta=2 \) poiseiulle. The ratio of the terminal velocities of \( P \) and \( Q \) is
(a) \( 3: 1 \)
(b) \( 9: 1 \)
(c) \( 2: 4 \)
(d) \( 4: 2 \)
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