A large drop of oil (density 0.8 , g/cm^3 and | vedclass

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(B) When a spherical drop of one liquid moves through another liquid,it experiences a viscous drag force. According to Stokes' Law,the viscous force $

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$\eta_L$ only

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(B) When a spherical drop of one liquid moves through another liquid,it experiences a viscous drag force. According to Stokes' Law,the viscous force $F_v$ acting on a sphere of radius $r$ moving with velocity $v$ through a fluid of viscosity $\eta$ is given by $F_v = 6 \pi \eta r v$.In this scenario,the oil drop is moving through the surrounding liquid. The internal viscosity of the oil drop $(\eta_0)$ does not affect the external drag force because the oil inside the drop is moving as a rigid body relative to the surface of the drop. The resistance to the motion is provided by the viscosity of the surrounding liquid $(\eta_L)$.Therefore,the terminal velocity of the rising oil drop depends only on the viscosity of the surrounding liquid,$\eta_L$.

$A$ large drop of oil (density $0.8 \, g/cm^3$ and viscosity $\eta_0$) floats up through a column of another liquid (density $1.2 \, g/cm^3$ and viscosity $\eta_L$). Assuming that the two liquids do not mix,the velocity with which the oil drop rises will depend on.

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