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JEE Advanced2016PhysicsMechanical Properties of FluidsActual

Consider two solid spheres P and Q each of density 8 gm c m - 3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density 0.8 gm c m - 3 and viscosity η = 3 poiseulles. Sphere Q is dropped into a liquid of density 1.6 gm c m - 3 and viscosity η = 2 poiseulles. the ratio of the terminal velocities of P and Q is.

Correct answer

3

Step-by-step solution

V T ∝ r 2 d m - d L n V T P V T Q = r P r Q 2 × n L 2 n L 1 × d m - d L 1 d m - d L 2 V T P V T Q = 2 1 2 × 2 3 × 8 - 0.8 8 - 1.6 V T P V T Q = 3

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