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Physics - Fluid Question with Solution | TestHub

PhysicsFluidViscosityMedium2 minQB

PhysicsMediumsingle choice

The graph between terminal velocity (along y-axis) and square of radius (along x-axis) of spherical body of density $ρ$ allowed to fall through a fluid of density $σ$ is a :-

Options:

Answer:

Solution:

At terminal speed, viscous drag balances effective weight:
$6 π ηr v = \frac{4}{3} π r^{3} (ρ - σ) g$
Thus:
$v = \frac{2 ( ρ - σ ) g}{9 η} r^{2}$
Therefore the graph of terminal speed against radius squared is a straight line with positive slope: A.

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Viscosity

⏱ 2mℹ️ Source: QB

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