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Physics - Fluid Question with Solution | TestHub

PhysicsFluidViscosityHard2 minPYQ_2018

PhysicsHardsingle choice

A small sphere of radius $r$ falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains terminal velocity, is proportional toNEET 2018

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Answer:

Solution:

Rate of heat produced = power of viscous force

terminal velocity $V_{T} = \frac{2 r^{2} (ρ - σ) g}{9 η}$

$\Rightarrow V_{T} \propto r^{2}$

$\frac{d Q}{d t} = 6 πη r V_{T} \times V_{T}$

$\Rightarrow \frac{d Q}{d t} \propto r^{5}$

Stream:NEETSubject:PhysicsTopic:FluidSubtopic:Viscosity

⏱ 2mℹ️ Source: PYQ_2018

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