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PhysicsFluidViscosityHard2 minPYQ_2016

PhysicsHardinteger

Consider two solid spheres P and Q each of density 8 gm $c m^{- 3}$ and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density 0.8 gm $c m^{- 3}$ and viscosity $η = 3$ poiseulles. Sphere Q is dropped into a liquid of density 1.6 gm $c m^{- 3}$ and viscosity $η = 2$ poiseulles. the ratio of the terminal velocities of P and Q is.

Answer:

Solution:

$V_{T} \propto \frac{r^{2} [d_{m} - d_{L}]}{n}$
$\frac{V_{T P}}{V_{T Q}} = {(\frac{r_{P}}{r_{Q}})}^{2} \times \frac{n_{L_{2}}}{n_{L_{1}}} \times [\frac{d_{m} - d_{L_{1}}}{d_{m} - d_{L_{2}}}]$
$\frac{V_{T P}}{V_{T Q}} = {(\frac{2}{1})}^{2} \times \frac{2}{3} \times [\frac{8 - 0.8}{8 - 1.6}]$
$\frac{V_{T P}}{V_{T Q}} = 3$

Stream:JEE_ADVSubject:PhysicsTopic:FluidSubtopic:Viscosity

⏱ 2mℹ️ Source: PYQ_2016

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