QJEEAdv16Ph8648: JEE Advanced 2016 Physics - Class 11 JEEAdv16Ph8648 Solution: Consider two solid spheres P and Q each of density 8 gm cm –3…

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QJEEAdv16Ph8648: JEE Advanced 2016 Physics - Class 11 JEEAdv16Ph8648 Solution: Consider two solid spheres P and Q each of density 8 gm cm –3…

Consider two solid spheres P and Q each of density 8 gm cm^–3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density 0.8 gm cm^–3 and viscosity

η

= 3 poiseulles. Sphere Q is dropped into a liquid of density 1.6 gm cm^–3 and viscosity

η

= 2 poiseulles. The ratio of the terminal velocities of P and Q is

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Accepted Answer

Terminal velocity is given by

v_{T} = \frac{2}{9} \frac{r^{2}}{η} (d - ρ) g

\frac{v_{P}}{v_{Q}} = \frac{r_{P}^{2}}{r_{Q}^{2}} \times \frac{η_{Q}}{η_{P}} \times \frac{(d - ρ_{P})}{(d - ρ_{Q})}

= {(\frac{1}{0.5})}^{2} \times (\frac{2}{3}) \times \frac{(8 - 08)}{(8 - 1.6)} = 4 \times \frac{2}{3} \times \frac{7.2}{6.4} = 3

QJEEAdv16Ph8648: JEE Advanced 2016 Physics - Class 11 JEEAdv16Ph8648 Solution: Consider two solid spheres P and Q each of density 8 gm cm –3…

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