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Physics - Fluid Question with Solution | TestHub

PhysicsFluidViscosityMedium2 minPYQ_2009

PhysicsMediumsingle choice

Two spheres of equal masses but radii $r_{1}$ and $r_{2}$ are allowed to fall in a liquid of infinite column. The ratio of their terminal velocities is

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Solution:

We have $v_{T} = \frac{2 r ^{2} ( σ - ρ ) g}{9 η}$ $\frac{v _{1}}{v _{2}} = (\frac{r _{1}}{r _{2}})^{2} \frac{( σ _{1} - ρ )}{( σ _{2} - ρ )};$ given $m_{1} = m_{2} \Rightarrow (\frac{r _{1}}{r _{2}})^{3} = \frac{σ _{2}}{σ _{1}}$

Stream:WBJEESubject:PhysicsTopic:FluidSubtopic:Viscosity

⏱ 2mℹ️ Source: PYQ_2009

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