MHT CET 2024 Physics question

PhysicsMechanical Properties of FluidsMHT CET 2024

A metal sphere of radius R, density moves with terminal velocity through a liquid of density . Another sphere of same radius but density moves through same liquid. Its terminal velocity is . The ratio is

Answer: (4)

Solution

Terminal velocity of a sphere of radius and density in a liquid of density and viscosity (Stokes' law, weight = buoyancy + viscous drag): . The radius, and are the same for both spheres, so . Hence

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Question ID VK-095595