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Physics - Fluid Question with Solution | TestHub

PhysicsFluidViscosityHard2 minPYQ_2021

PhysicsHardsingle choice

' $n$ ' small drops of same size fall through air with constant velocity $5 cm / s$ . They coalesce to form a big drop. The terminal velocity of the big drop is

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Answer:

Solution:

$Volume = \frac{4}{3} π r^{3} n = \frac{4}{3} π R^{3} ∴ R = n^{1/3} r ∴ \frac{R}{r} = n^{\frac{1}{3}}$ Terminal velocity, $v \propto r^{2}$ $\frac{v _{2}}{v _{1}} = (\frac{r _{2}}{r _{1}})^{2} = (\frac{R}{r})^{2} = n^{2/3} ∴ v_{2} = n^{2/3} v_{1} = 5 n^{2/3} m / s$

Stream:MHT_CETSubject:PhysicsTopic:FluidSubtopic:Viscosity

⏱ 2mℹ️ Source: PYQ_2021

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