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PhysicsMediumNumerical2023 · 08 Apr Shift 1

Q12.An air bubble of diameter 6 mm rises steadily through a solution of density 1750 kg m−3 at the rate of 0. 35 cm s−1 . The co-efficient of viscosity of the solution (neglect density of air) is ________ Pas (given, g = 10 m s−2 ).

What This Question Tests

This question requires applying Stokes' law and the principle of terminal velocity for a rising air bubble, equating viscous force to the buoyant force.

Concepts Tested

Stokes' LawTerminal velocityViscosity coefficient

Formulas Used

F_viscous = 6πηrv

Buoyant force = ρ_liquid V g

Weight = ρ_air V g ≈ 0 (neglected)

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