Stokes Law

A spherical ball of radius $\text{1}\times 10^{-4} \mathrm{m}$ and density $104 \mathrm{kg} {\mathrm{m}}^{-3}$^​ falls freely under gravity through a distance $h$ before entering a tank of water. If after entering the water the velocity of the ball does not change, find $h$. The viscosity of water is $9.8\times 10^{-6} {\mathrm{Nsm}}^{-2}$.

Stoke's can be applied for the measurement of the viscosity of fluids

A lead ball of $1 \mathrm{mm}$ diameter falls through a long column of glycerine. The variation of its velocity with distance covered is represented by

Eight identical drops of water, each of radius $2 \mathrm{mm}$ are falling through air at a terminal velocity of $8 \mathrm{cm} {\mathrm{s}}^{-1}$. If they coalesce to form a single drop, then the terminal velocity of the combined drop will be :

Best graph from following between terminal velocity $\left(\mathrm{v}\right)$ of a spherical object and radius of object $\left(\mathrm{r}\right)$ is 

A drop of water of radius $0.0015 \mathrm{m}\mathrm{m}$ is falling in air. If the coefficient of viscosity of air is $2.0\times {10}^{-5} \mathrm{k}\mathrm{g}\mathrm{ }{\mathrm{m}}^{-1} {\mathrm{s}}^{-1}$, the terminal velocity of the drop will be: (The density of water $={10}^3 \mathrm{k}\mathrm{g}\mathrm{ }{\mathrm{m}}^{-3}$ and $\mathrm{g}=10 \mathrm{m}\mathrm{ }{\mathrm{s}}^{-2}$)

Eight drops of water, each of radius $2 \mathrm{m}\mathrm{m}$ are falling through air at a terminal velocity of $8 \mathrm{c}\mathrm{m}\mathrm{ }{\mathrm{s}}^{-1}$. If they coalesce to from a single drop, then the terminal velocity of combined drop will be:

A metallic sphere of mass $M$ falls through glycerine, If we drop a ball of mass$8M$ of same metal into a column of glycerine, the terminal velocity of the ball will be

A spherical ball of radius $\mathrm{R}$ is falling in a viscous fluid with velocity $\mathrm{v}$. The retarding viscous force acting on the spherical ball is:

A rain drop of radius $0.3 mm$ has a terminal velocity in air $1 m{s}^{-1}.$ The viscosity of air is $18\times {10}^{-5}$ poise. Find the viscous force on the rain drops.

What will be the approximate terminal velocity of a rain drop of diameter $1.8\times {10}^{-3}m$ , when density of rain water $\approx {10}^{3}kg{m}^{-3}$ and the coefficient of viscosity of air $\approx 1.8\times {10}^{-5}N-s{m}^{-2}$ ? $\left(\mathrm{N}\mathrm{e}\mathrm{g}\mathrm{l}\mathrm{e}\mathrm{c}\mathrm{t}\mathrm{ }\mathrm{b}\mathrm{u}\mathrm{o}\mathrm{y}\mathrm{a}\mathrm{n}\mathrm{c}\mathrm{y}\mathrm{ }\mathrm{o}\mathrm{f}\mathrm{ }\mathrm{a}\mathrm{i}\mathrm{r}\right)$

Two spheres of radii ${\mathrm{r}}_1$ and ${\mathrm{r}}_2\mathrm{ }({\mathrm{r}}_1\mathrm{ }>\mathrm{ }{\mathrm{r}}_2)$ is dropped through a tube full of glycerine. Their terminal velocities ${\mathrm{v}}_1$ and ${\mathrm{v}}_2$ are calculated in the experiment. Which of the following is true?

When a sphere falls through a liquid under the terminal velocity condition, the acceleration of the particle is

A flow is said to be steady if the velocity pressure and density at any point is ______.

Two rain drops reach the earth with the terminal velocities in the ratio $4\mathrm{ }:\mathrm{ }9$ . The ratio of radii is :

When body falls in liquid with terminal velocity, the ratio of resistive force of liquid to its weight is-

The mass of a lead ball is $M$. It falls down in a viscous liquid with terminal velocity $V$. The terminal velocity of another lead ball of mass $8M$ in the same liquid will be -

Two rain drops reach the earth with their terminal velocities in the ratio $4\mathrm{ }:\mathrm{ }9$. The ratio of their radii is

A small drop of steel falls from rest through a long height $\mathrm{h}$ in coaltar, the final velocity will be proportional to ${\mathrm{h}}^{\mathrm{n}}$, then $\mathrm{n}$ is -

A solid ball of density ${\mathrm{\rho }}_1$ and radius $r$ falls vertically through a liquid of density ${\mathrm{\rho }}_2$. Assume that the viscous force acting on the ball is $F=krv$, where $k$ is a constant and $v$ its velocity. What is the terminal velocity of the ball?